Mixed and hybrid finite element methods

Subdivision schemes for fluid flow

Proceedings of the 26th annual conference on Computer graphics and interactive techniques

Application of the Augmented Lagrangian-SQP Method to Optimal Control Problems for the Stationary Burgers Equation

Computational Optimization and Applications

Numerical Gradients for Shape Optimization Based on Embedding Domain Techniques

Computational Optimization and Applications

Iterative Stokes solvers in the harmonic Velte subspace

Computing

An iterative substructuring mehtod for div-stable finite element approximations of the Oseen problem

Computing

Analysis of iterative methods for saddle point problems: a unified approach

Mathematics of Computation

Γ-convergence of external approximations in boundary value problems involving the bi-Laplacian

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

Review and complements on mixed-hybrid finite element methods for fluid flows

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

Genetic and Random Search Methods in Optimal Shape Design Problems

Journal of Global Optimization

Mixed finite element and boundary element approximation in 3D magnetostatics for computation of the magnetic induction

Applied Mathematics and Computation

Fast Iterative Solution of Saddle Point Problems in Optimal Control Based on Wavelets

Computational Optimization and Applications

A connection between subgrid scale Eddy viscosity and mixed methods

Applied Mathematics and Computation

The inf-sup condition for the mapped Qk - Pk-1disc element in arbitrary space dimensions

Computing

The hp-MITC finite element method for the Reissner-Mindlin plate problem

Journal of Computational and Applied Mathematics

Integral equations via saddle point problems for time-harmonic Maxwell's equations

Journal of Computational and Applied Mathematics

Transparent boundary conditions for the shallow water equations with a mixed finite element formulation

Applied Numerical Mathematics

Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations

Mathematics of Computation

A Software Framework for Mixed Finite Element Programming

ICCS '02 Proceedings of the International Conference on Computational Science-Part III

Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems

Mathematics of Computation

A mixed multiscale finite element method for elliptic problems with oscillating coefficients

Mathematics of Computation

Scalability and FETI based algorithm for large discretized variational inequalities

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

A posteriori error estimates applied to flow in a channel with corners

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

Stability of discretizations of the Stokes problem on anisotropic meshes

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

Mixed finite element modelling of cartilaginous tissues

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

Interface solvers and preconditioners of domain decomposition type for multiphase flow in multiblock porous media

Scientific computing and applications

Positivity preserving finite element approximation

Mathematics of Computation

Conjugate gradient method for dual-dual mixed formulations

Mathematics of Computation

A modified augmented Lagrangian method for a class of constrained problems

Journal of Computational and Applied Mathematics

Optimal error estimate for a mixed finite element method for compressible Navier--Stokes system

Applied Numerical Mathematics

A finite element-based fictitious domain decomposition method for the fast solution of partially axisymmetric sound-hard acoustic scattering problems

Finite Elements in Analysis and Design - Special issue: 14th Robert J. Melosh competition

A finite element technique for multifluid incompressible flow using Eulerian grids

Journal of Computational Physics

A note on variational representation for singular values of matrix

Applied Mathematics and Computation

Analysis of multilevel methods for eddy current problems

Mathematics of Computation

Fast uzawa algorithm for generalized saddle point problems

Applied Numerical Mathematics

Third order nodal finite element methods with transverse and reduced integration for elliptic problems

Applied Numerical Mathematics

Shape Optimization and Fictitious Domain Approach for Solving Free Boundary Problems of Bernoulli Type

Computational Optimization and Applications

Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems

Mathematics of Computation

Multigrid for discrete differential forms on sparse grids

Computing

Stream function approach for determining optimal surface currents

Journal of Computational Physics

Nonconforming elements in least-squares mixed finite element methods

Mathematics of Computation

Discrete Fredholm properties and convergence estimates for the electric field integral equation

Mathematics of Computation

On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers

Applied Numerical Mathematics

An iterative algorithm for finite element analysis

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)

Quasioptimality of some spectral mixed methods

Journal of Computational and Applied Mathematics

Block triangular preconditioners for symmetric saddle-point problems

Applied Numerical Mathematics - Numerical algorithms, parallelism and applications

Error analysis for a second order scheme for the Navier-Stokes equations

Applied Numerical Mathematics

Mixed-hybrid finite elements for the simulation of thermal oxidation in semiconductors

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002

Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002

Mixed finite elements for the Richards' equation: linearization procedure

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002

Mixed finite element approximation of incompressible MHD problems based on weighted regularization

Applied Numerical Mathematics

Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes

Journal of Computational Physics

Algorithm 839: FIAT, a new paradigm for computing finite element basis functions

ACM Transactions on Mathematical Software (TOMS)

The treatment of the locking phenomenon for a general class of variational inequalities

Journal of Computational and Applied Mathematics

Simple, efficient mixed solid element for accurate analysis of local effects in laminated and sandwich composites

Advances in Engineering Software

Analysis of [H-1,L2,L2] first-order system least squares for the incompressible Oseen type equations

Applied Numerical Mathematics

A Family of Discontinuous Galerkin Finite Elements for the Reissner--Mindlin Plate

Journal of Scientific Computing

Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation

Journal of Scientific Computing

Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem

Journal of Scientific Computing

A mixed formulation for the Signorini problem in nearly incompressible elasticity

Applied Numerical Mathematics

The effect of stabilization in finite element methods for the optimal boundary control of the Oseen equations

Finite Elements in Analysis and Design

On the velocity-vorticity-pressure least-squares finite element method for the stationary incompressible Oseen problem

Journal of Computational and Applied Mathematics

Ill-posed boundary conditions encountered in 3D and plate finite element simulations

Finite Elements in Analysis and Design

Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems

Journal of Computational and Applied Mathematics

On the LBB condition in the numerical analysis of the Stokes equations

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

Mortar methods with curved interfaces

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

A natural domain decomposition method with non-matching grids

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

On convergence rate of the augmented Lagrangian algorithm for nonsymmetric saddle point problems

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Overlapping Schwarz preconditioner for the mixed formulation of plane elasticity

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Higher order regularity and approximation of solutions to the Monod biodegradation model

Applied Numerical Mathematics

FEMSTER: An object-oriented class library of high-order discrete differential forms

ACM Transactions on Mathematical Software (TOMS)

A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate

Journal of Scientific Computing

Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation

Journal of Scientific Computing

Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the stokes problem

Journal of Scientific Computing

Weighted extended B-spline method for the approximation of the stationary Stokes problem

Journal of Computational and Applied Mathematics

Three-dimensional mixed finite element-finite volume approach for the solution of density-dependent flow in porous media

Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics

A variational multiscale stabilized finite element method for the Stokes flow problem

Finite Elements in Analysis and Design - Special issue: The seventeenth annual Robert J. Melosh competition

On a Stable Spectral Method for the grad(div) Eigenvalue Problem

Journal of Scientific Computing

Overlapping Schwarz and Spectral Element Methods for Linear Elasticity and Elastic Waves

Journal of Scientific Computing

Hybrid discretization of the Signorini problem with Coulomb friction. Theoretical aspects and comparison of some numerical solvers

Applied Numerical Mathematics

Optimizing FIAT with level 3 BLAS

ACM Transactions on Mathematical Software (TOMS)

A p-version MITC finite element method for Reissner-Mindlin plates with curved boundaries

Journal of Computational and Applied Mathematics

A multiscale V-P discretization for flow problems

Applied Mathematics and Computation

A compiler for variational forms

ACM Transactions on Mathematical Software (TOMS)

On the finite element method on quadrilateral meshes

Applied Numerical Mathematics - Selected papers from the first Chilean workshop on numerical analysis of partial differential equations (WONAPDE 2004)

Robust streamline tracing for the simulation of porous media flow on general triangular and quadrilateral grids

Journal of Computational Physics

A stabilized finite element method using a discontinuous level set approach for solving two phase incompressible flows

Journal of Computational Physics

Analysis of a splitting method for incompressible inviscid rotational flow problems

Journal of Computational and Applied Mathematics

An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses

Journal of Computational and Applied Mathematics

Mixed-hybrid discretization methods for the P1 equations

Applied Numerical Mathematics

Mixed and nonconforming finite element methods on a system of polygons

Applied Numerical Mathematics

The choice of spectral element basis functions in domains with an axis of symmetry

Journal of Computational and Applied Mathematics

Operator Preconditioning

Computers & Mathematics with Applications

A discontinuous Galerkin method for the Cahn-Hilliard equation

Journal of Computational Physics

Remarks on a posteriori error estimation for finite element solutions

Journal of Computational and Applied Mathematics - Special issue: Scientific computing, computer arithmetic, and validated numerics (SCAN 2004)

A combined mixed and discontinuous Galerkin method for compressible miscible displacement problem in porous media

Journal of Computational and Applied Mathematics

On the convergence of finite element solutions to the interface problem for the Stokes system

Journal of Computational and Applied Mathematics

Stabilized discontinuous finite element approximations for Stokes equations

Journal of Computational and Applied Mathematics

hp-Version a priori Error Analysis of Interior Penalty Discontinuous Galerkin Finite Element Approximations to the Biharmonic Equation

Journal of Scientific Computing

A numerical method for a second-gradient theory of incompressible fluid flow

Journal of Computational Physics

Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow

ACM Transactions on Mathematical Software (TOMS)

A mixed hybrid formulation based on oscillated finite element polynomials for solving Helmholtz problems

Journal of Computational and Applied Mathematics

Numerical simulations of shear dependent viscoelastic flows with a combined finite element-finite volume method

Computers & Mathematics with Applications

Benchmark problems for incompressible fluid flows with structural interactions

Computers and Structures

On the CFL condition for the finite element immersed boundary method

Computers and Structures

A unified least-squares formulation for fluid-structure interaction problems

Computers and Structures

Positive stable block triangular preconditioners for symmetric saddle point problems

Applied Numerical Mathematics

A Linear 3D Elastic Segmentation Model for Vector Fields. Application to the Heart Segmentation in MRI

Journal of Mathematical Imaging and Vision

deal.II—A general-purpose object-oriented finite element library

ACM Transactions on Mathematical Software (TOMS)

A posteriori error estimators for locally conservative methods of nonlinear elliptic problems

Applied Numerical Mathematics

Short Note: A primal formulation for the Helmholtz decomposition

Journal of Computational Physics

Mathematical modelling and numerical simulation of a glow-plug

Applied Numerical Mathematics

An a Posteriori Error Estimator for Two-Body Contact Problems on Non-Matching Meshes

Journal of Scientific Computing

Globalization strategies for Newton-Krylov methods for stabilized FEM discretization of Navier-Stokes equations

Journal of Computational Physics

Approximation of functionally graded plates with non-conforming finite elements

Journal of Computational and Applied Mathematics

Numerical solution of flow problems by stabilized finite element method and verification of its accuracy using a posteriori error estimates

Mathematics and Computers in Simulation

FETI-based algorithms for modelling of fibrous composite materials with debonding

Mathematics and Computers in Simulation

A posteriori error estimates for mixed finite element solutions of convex optimal control problems

Journal of Computational and Applied Mathematics

Numerical differentiation for the second order derivatives of functions of two variables

Journal of Computational and Applied Mathematics

A posteriori error estimations of a coupled mixed and standard Galerkin method for second order operators

Journal of Computational and Applied Mathematics

Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales

Applied Numerical Mathematics

An implicit finite element solution of thermal flows at low Mach number

Journal of Computational Physics

Mixed boundary integral methods for Helmholtz transmission problems

Journal of Computational and Applied Mathematics

An adaptive stabilized finite element method for the generalized Stokes problem

Journal of Computational and Applied Mathematics

Studies of the discontinuous enrichment method for two-dimensional acoustics

Finite Elements in Analysis and Design

Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods

Journal of Computational and Applied Mathematics

On the stability of the finite element immersed boundary method

Computers and Structures

An hybrid finite volume-finite element method for variable density incompressible flows

Journal of Computational Physics

Numerical solution of the time-dependent incompressible Navier-Stokes equations by piecewise linear finite elements

Journal of Computational and Applied Mathematics

Mass conservation of finite element methods for coupled flow-transport problems

International Journal of Computing Science and Mathematics

Coupling Stokes and Darcy equations

Applied Numerical Mathematics

Nonconforming cell boundary element methods for elliptic problems on triangular mesh

Applied Numerical Mathematics

Shape optimization for Stokes flow

Applied Numerical Mathematics

Constructive spectral approaches for the Helmholtz decomposition of a vector field

Applied Numerical Mathematics

A new hp method for the - grad(div) operator in non-Cartesian geometries

Applied Numerical Mathematics

Dissipative/conservative Galerkin method using discrete partial derivatives for nonlinear evolution equations

Journal of Computational and Applied Mathematics

On the convergence of iterative methods for stabilized saddle point problems

International Journal of Computer Mathematics

On the use of the consistent splitting scheme for double-diffusive convection flows in mixed finite element formulations

International Journal of Computer Mathematics - Celebrating the Life of David J. Evans

A new local stabilized nonconforming finite element method for the Stokes equations

Computing

A two-grid method based on Newton iteration for the Navier-Stokes equations

Journal of Computational and Applied Mathematics

Finite Element-Based Level Set Methods for Higher Order Flows

Journal of Scientific Computing

On the solution of the checkerboard problem in mixed-FEM topology optimization

Computers and Structures

The Computation of a Locally Conservative Stress for the Continuous Galerkin Method for Compressible Linearly Elastic Materials

Journal of Scientific Computing

A gauge finite element method for the 2D Navier--Stokes problem

Applied Numerical Mathematics

High-order mimetic finite difference method for diffusion problems on polygonal meshes

Journal of Computational Physics

Dual mixed finite element methods for the elasticity problem with Lagrange multipliers

Journal of Computational and Applied Mathematics

A two-level pressure stabilization method for the generalized Stokes problem

International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering

Constraint Schur complement preconditioners for nonsymmetric saddle point problems

Applied Numerical Mathematics

A stochastic multiscale framework for modeling flow through random heterogeneous porous media

Journal of Computational Physics

Shape optimization towards stability in constrained hydrodynamic systems

Journal of Computational Physics

Data structures and requirements for hp finite element software

ACM Transactions on Mathematical Software (TOMS)

A three-dimensional nodal-based implementation of a family of discontinuous Galerkin methods for elasticity problems

Computers and Structures

Schur complements on Hilbert spaces and saddle point systems

Journal of Computational and Applied Mathematics

A Single-Step Characteristic-Curve Finite Element Scheme of Second Order in Time for the Incompressible Navier-Stokes Equations

Journal of Scientific Computing

Unified Formulation for High-Order Streamline Tracing on Two-Dimensional Unstructured Grids

Journal of Scientific Computing

Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations

Journal of Scientific Computing

FGMRES preconditioning by symmetric/skew-symmetric decomposition of generalized stokes problems

Mathematics and Computers in Simulation

A discontinuous enrichment method for the finite element solution of high Péclet advection-diffusion problems

Finite Elements in Analysis and Design

A splitting method for incompressible flows with variable density based on a pressure Poisson equation

Journal of Computational Physics

Analysis of the nonlinear Uzawa algorithm for symmetric saddle point problems

International Journal of Computer Mathematics

Analysis of a least-squares finite element method for the thin plate problem

Applied Numerical Mathematics

A hybrid element approach to three dimensional problems of cracked anisotropic multi-material

Finite Elements in Analysis and Design

Upwind discretization of a time-dependent two-dimensional grade-two fluid model

Computers & Mathematics with Applications

Fictitious Domain approach with hp-finite element approximation for incompressible fluid flow

Journal of Computational Physics

Finite Element Solution of Optimal Control Problems Arising in Semiconductor Modeling

Large-Scale Scientific Computing

The spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for generalized saddle point problems

Journal of Computational and Applied Mathematics

Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: Applications to natural convection in a cavity

Journal of Computational Physics

Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method

Applied Numerical Mathematics

On a two-level element-free Galerkin method for incompressible fluid flow

Applied Numerical Mathematics

A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation

Applied Numerical Mathematics

Short communication: An easy and efficient combination of the Mixed Finite Element Method and the Method of Lines for the resolution of Richards' Equation

Environmental Modelling & Software

Numerical simulation of a thermo-electromagneto-hydrodynamic problem in an induction heating furnace

Applied Numerical Mathematics

Stabilization arising from PGEM: A review and further developments

Applied Numerical Mathematics

A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, I

Journal of Computational and Applied Mathematics

Uniformly Convergent Iterative Methods for Discontinuous Galerkin Discretizations

Journal of Scientific Computing

An Equal-Order DG Method for the Incompressible Navier-Stokes Equations

Journal of Scientific Computing

A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics

Journal of Scientific Computing

Generalized block triangular preconditioner for symmetric saddle point problems

Computing

Mimetic finite difference method for the Stokes problem on polygonal meshes

Journal of Computational Physics

Block iterative solvers for higher order finite volume methods

Journal of Computational and Applied Mathematics

Analysis of the coupling of BEM, FEM and mixed-FEM for a two-dimensional fluid--solid interaction problem

Applied Numerical Mathematics

Symmetric boundary integral formulations for Helmholtz transmission problems

Applied Numerical Mathematics

Superresolution and Denoising of 3D Fluid Flow Estimates

Proceedings of the 31st DAGM Symposium on Pattern Recognition

Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction

Journal of Computational Physics

On local Hermitian and skew-Hermitian splitting iteration methods for generalized saddle point problems

Journal of Computational and Applied Mathematics

An augmented mixed finite element method for 3D linear elasticity problems

Journal of Computational and Applied Mathematics

Non-negative mixed finite element formulations for a tensorial diffusion equation

Journal of Computational Physics

On convergence rate of the augmented Lagrangian algorithm for nonsymmetric saddle point problems

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

Overlapping Schwarz preconditioner for the mixed formulation of plane elasticity

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

A mixed formulation for the Signorini problem in nearly incompressible elasticity

Applied Numerical Mathematics

On the LBB condition in the numerical analysis of the Stokes equations

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

Mortar methods with curved interfaces

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

A natural domain decomposition method with non-matching grids

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

Higher order regularity and approximation of solutions to the Monod biodegradation model

Applied Numerical Mathematics

Hybrid discretization of the Signorini problem with Coulomb friction. Theoretical aspects and comparison of some numerical solvers

Applied Numerical Mathematics

Optimizations for quadrature representations of finite element tensors through automated code generation

ACM Transactions on Mathematical Software (TOMS)

A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations

Journal of Scientific Computing

Hybrid-mixed stress finite element models in elastoplastic analysis

Finite Elements in Analysis and Design

Error estimates of mixed finite element methods for quadratic optimal control problems

Journal of Computational and Applied Mathematics

Mixed velocity, stress, current, and potential boundary conditions for stationary MHD flow

Computers & Mathematics with Applications

A robust a posteriori error estimate for the Fortin-Soulie finite-element method

Computers & Mathematics with Applications

Stability and error analysis of mixed finite-volume methods for advection dominated problems

Computers & Mathematics with Applications

Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

Computers & Mathematics with Applications

PSRI elements for the Reissner-Mindlin free plate

Computers and Structures

Stability of the finite elements 9/(4c+1) and 9/5c for stationary Stokes equations

Computers and Structures

Review: A posteriori error estimation techniques in practical finite element analysis

Computers and Structures

A mixed FSDT finite element for monoclinic laminated plates

Computers and Structures

Shape optimization of peristaltic pumping

Journal of Computational Physics

Ill-posed boundary conditions encountered in 3D and plate finite element simulations

Finite Elements in Analysis and Design

The effect of stabilization in finite element methods for the optimal boundary control of the Oseen equations

Finite Elements in Analysis and Design

A variational multiscale stabilized finite element method for the Stokes flow problem

Finite Elements in Analysis and Design - Special issue: The seventeenth annual Robert J. Melosh competition

A Legendre spectral element model for sloshing and acoustic analysis in nearly incompressible fluids

Journal of Computational Physics

Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems

Journal of Computational and Applied Mathematics

On the velocity-vorticity-pressure least-squares finite element method for the stationary incompressible Oseen problem

Journal of Computational and Applied Mathematics

Three-dimensional mixed finite element-finite volume approach for the solution of density-dependent flow in porous media

Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics

Weighted extended B-spline method for the approximation of the stationary Stokes problem

Journal of Computational and Applied Mathematics

Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems

Journal of Scientific Computing

DOLFIN: Automated finite element computing

ACM Transactions on Mathematical Software (TOMS)

An efficient multigrid method for the simulation of high-resolution elastic solids

ACM Transactions on Graphics (TOG)

On a new 3D primal-mixed finite element approach for thermal stress analysis of multi-layered geometrically multiscale structures

Finite Elements in Analysis and Design

Implementation of higher-order methods for robust and efficient compositional simulation

Journal of Computational Physics

A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field

Journal of Computational Physics

Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems

Journal of Computational and Applied Mathematics

Combined hybrid method applied in the Reissner-Mindlin plate model

Finite Elements in Analysis and Design

An enriched discontinuous Galerkin formulation for the coupling of non-conforming meshes

Finite Elements in Analysis and Design

Convergence of fractional step mimetic finite difference discretizations for semilinear parabolic problems

Applied Numerical Mathematics

Comparison of 3D flow fields arising in mixed and standard unstructured finite elements

ICCS'03 Proceedings of the 1st international conference on Computational science: PartI

On the ellipticity condition for model-parameter dependent mixed formulations

Computers and Structures

Physically consistent and efficient variational denoising of image fluid flow estimates

IEEE Transactions on Image Processing

Stable and unstable cross-grid PkQl mixed finite elements for the Stokes problem

Journal of Computational and Applied Mathematics

Comparison of the performance of some finite element discretizations for large deformation elasticity problems

Computers and Structures

Newton method for reactive solute transport with equilibrium sorption in porous media

Journal of Computational and Applied Mathematics

Analysis of global multiscale finite element methods for wave equations with continuum spatial scales

Applied Numerical Mathematics

A strongly conservative finite element method for the coupling of Stokes and Darcy flow

Journal of Computational Physics

A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem

Journal of Computational and Applied Mathematics

A non-conforming monolithic finite element method for problems of coupled mechanics

Journal of Computational Physics

Time stepping for vectorial operator splitting

Journal of Computational and Applied Mathematics

Error estimates for parabolic optimal control problem by fully discrete mixed finite element methods

Finite Elements in Analysis and Design

A Comparison of HDG Methods for Stokes Flow

Journal of Scientific Computing

Stabilized finite element method for incompressible flows with high Reynolds number

Journal of Computational Physics

Parallel solution of Mixed Finite Element/Spectral Element systems for convection-diffusion equations on non-matching grids

Applied Numerical Mathematics

A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, II

Journal of Computational and Applied Mathematics

A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids

Journal of Computational Physics

Residual reduction algorithms for nonsymmetric saddle point problems

Journal of Computational and Applied Mathematics

CFD parallel simulation using Getfem++ and mumps

Euro-Par'10 Proceedings of the 16th international Euro-Par conference on Parallel processing: Part II

The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes

Journal of Computational Physics

An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation

ACM Transactions on Mathematical Software (TOMS)

Approximation of the thermally coupled MHD problem using a stabilized finite element method

Journal of Computational Physics

Finite element approximation of nematic liquid crystal flows using a saddle-point structure

Journal of Computational Physics

A non-conformal eXtended Finite Element approach: Integral matching Xfem

Applied Numerical Mathematics

Measuring the convergence behavior of shell analysis schemes

Computers and Structures

A numerical method for mass conservative coupling between fluid flow and solute transport

Applied Numerical Mathematics

Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem

Applied Numerical Mathematics

Axial Green's function method for steady Stokes flow in geometrically complex domains

Journal of Computational Physics

Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems

Journal of Computational Physics

The use of nodal point forces to improve element stresses

Computers and Structures

A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems

Journal of Computational and Applied Mathematics

Nitsche's Method for Defective Boundary Value Problems in Incompressibile Fluid-dynamics

Journal of Scientific Computing

An algebraic variational multiscale-multigrid method for large-eddy simulation: generalized-α time integration, Fourier analysis and application to turbulent flow past a square-section cylinder

Computational Mechanics

Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients

Journal of Scientific Computing

A Mixed Finite Element Method for the Biharmonic Problem Using Biorthogonal or Quasi-Biorthogonal Systems

Journal of Scientific Computing

Accelerated non-linear finite volume method for diffusion

Journal of Computational Physics

Mixed-hybrid formulation of multidimensional fracture flow

NMA'10 Proceedings of the 7th international conference on Numerical methods and applications

Approximation of the inductionless MHD problem using a stabilized finite element method

Journal of Computational Physics

A Modified Nonlinear Inexact Uzawa Algorithm with a Variable Relaxation Parameter for the Stabilized Saddle Point Problem

SIAM Journal on Matrix Analysis and Applications

A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations

SIAM Journal on Numerical Analysis

Optimal Error Estimate for the Div Least-squares Method with Data $f\inL^2$ and Application to Nonlinear Problems

SIAM Journal on Numerical Analysis

Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements

SIAM Journal on Numerical Analysis

A Posteriori Error Analysis of Finite Element Methods for Reissner-Mindlin Plates

SIAM Journal on Numerical Analysis

Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity

SIAM Journal on Numerical Analysis

Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions

SIAM Journal on Numerical Analysis

A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation

SIAM Journal on Numerical Analysis

Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements

SIAM Journal on Numerical Analysis

Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations

SIAM Journal on Numerical Analysis

A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem

SIAM Journal on Numerical Analysis

Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations

SIAM Journal on Numerical Analysis

Approximation of the Buckling Problem for Reissner-Mindlin Plates

SIAM Journal on Numerical Analysis

Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling

SIAM Journal on Numerical Analysis

A Priori and A Posteriori Analysis of Mixed Finite Element Methods for Nonlinear Elliptic Equations

SIAM Journal on Numerical Analysis

Unified Analysis of Finite Volume Methods for the Stokes Equations

SIAM Journal on Numerical Analysis

A Multipoint Flux Mixed Finite Element Method on Hexahedra

SIAM Journal on Numerical Analysis

A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body

SIAM Journal on Numerical Analysis

Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes

SIAM Journal on Numerical Analysis

Convergence of the Natural $hp$-BEM for the Electric Field Integral Equation on Polyhedral Surfaces

SIAM Journal on Numerical Analysis

A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow

SIAM Journal on Numerical Analysis

Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements

SIAM Journal on Scientific Computing

An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings

SIAM Journal on Scientific Computing

A New Divergence-Free Interpolation Operator with Applications to the Darcy-Stokes-Brinkman Equations

SIAM Journal on Scientific Computing

A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles

SIAM Journal on Scientific Computing

A Posteriori Error Estimates of Stabilization of Low-Order Mixed Finite Elements for Incompressible Flow

SIAM Journal on Scientific Computing

A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers

SIAM Journal on Scientific Computing

The Equivalence of Standard and Mixed Finite Element Methods in Applications to Elasto-Acoustic Interaction

SIAM Journal on Scientific Computing

A Novel Least-Squares Finite Element Method Enriched with Residual-Free Bubbles for Solving Convection-Dominated Problems

SIAM Journal on Scientific Computing

A Posteriori Error Estimator for Obstacle Problems

SIAM Journal on Scientific Computing

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

Journal of Computational Physics

Conforming Rectangular Mixed Finite Elements for Elasticity

Journal of Scientific Computing

A Lagrangian finite element approach for the simulation of water-waves induced by landslides

Computers and Structures

Superconvergence of new mixed finite element spaces

Journal of Computational and Applied Mathematics

H(div) conforming finite element methods for the coupled Stokes and Darcy problem

Journal of Computational and Applied Mathematics

Modelling variable density flow problems in heterogeneous porous media using the method of lines and advanced spatial discretization methods

Mathematics and Computers in Simulation

Original article: A convergence of a MFE-FV method for immiscible compressible flow in heterogeneous porous media

Mathematics and Computers in Simulation

The MITC9 shell element in plate bending: mathematical analysis of a simplified case

Computational Mechanics

Optimal control of the Stokes equations: conforming and non-conforming finite element methods under reduced regularity

Computational Optimization and Applications

Quadratic divergence-free finite elements on Powell---Sabin tetrahedral grids

Calcolo: a quarterly on numerical analysis and theory of computation

Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations

Journal of Computational Physics

A New Family of Mixed Methods for the Reissner-Mindlin Plate Model Based on a System of First-Order Equations

Journal of Scientific Computing

Image Sequence Interpolation Using Optimal Control

Journal of Mathematical Imaging and Vision

Locally stabilized P1-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations

Journal of Computational and Applied Mathematics

A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations

Journal of Computational and Applied Mathematics

Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system

Calcolo: a quarterly on numerical analysis and theory of computation

Non-uniform order mixed FEM approximation: Implementation, post-processing, computable error bound and adaptivity

Journal of Computational Physics

Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems

SIAM Journal on Control and Optimization

Acquired Clustering Properties and Solution of Certain Saddle Point Systems

SIAM Journal on Matrix Analysis and Applications

Preconditioning Stochastic Galerkin Saddle Point Systems

SIAM Journal on Matrix Analysis and Applications

An Analysis of a Broken $P_1$-Nonconforming Finite Element Method for Interface Problems

SIAM Journal on Numerical Analysis

Fully Discrete Finite Element Approximations of a Polymer Gel Model

SIAM Journal on Numerical Analysis

BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions

SIAM Journal on Scientific Computing

Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations

SIAM Journal on Numerical Analysis

Mixed Finite Element Methods for Problems with Robin Boundary Conditions

SIAM Journal on Numerical Analysis

On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems

SIAM Journal on Numerical Analysis

First-Order System Least Squares for Coupled Stokes-Darcy Flow

SIAM Journal on Numerical Analysis

A Posteriori Error Estimation for an Interior Penalty Type Method Employing $H(\mathrm{div})$ Elements for the Stokes Equations

SIAM Journal on Scientific Computing

Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems

SIAM Journal on Numerical Analysis

On Stability, Accuracy, and Fast Solvers for Finite Element Approximations of the Axisymmetric Stokes Problem by Hood-Taylor Elements

SIAM Journal on Numerical Analysis

A Primal-Dual Finite Element Approximation for a Nonlocal Model in Plasticity

SIAM Journal on Numerical Analysis

Sharp $L_2$-Norm Error Estimates for First-Order div Least-Squares Methods

SIAM Journal on Numerical Analysis

A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations

SIAM Journal on Numerical Analysis

Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations

SIAM Journal on Control and Optimization

Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs

SIAM Journal on Control and Optimization

Analysis of a Modified First-Order System Least Squares Method for Linear Elasticity with Improved Momentum Balance

SIAM Journal on Numerical Analysis

Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity

SIAM Journal on Numerical Analysis

A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types

SIAM Journal on Scientific Computing

A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood FE Approximations of the Navier-Stokes Equations

SIAM Journal on Numerical Analysis

A Robust Multigrid Method for Elliptic Optimal Control Problems

SIAM Journal on Numerical Analysis

Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity

SIAM Journal on Numerical Analysis

Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations

SIAM Journal on Numerical Analysis

Analysis of the DPG Method for the Poisson Equation

SIAM Journal on Numerical Analysis

Penalty-Factor-Free Discontinuous Galerkin Methods for 2-Dim Stokes Problems

SIAM Journal on Numerical Analysis

On-Line variational estimation of dynamical fluid flows with physics-based spatio-temporal regularization

DAGM'06 Proceedings of the 28th conference on Pattern Recognition

Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects

Journal of Computational Physics

A stable high-order Spectral Difference method for hyperbolic conservation laws on triangular elements

Journal of Computational Physics

New robust nonconforming finite elements of higher order

Applied Numerical Mathematics

Stabilized Reduced Basis Approximation of Incompressible Three-Dimensional Navier-Stokes Equations in Parametrized Deformed Domains

Journal of Scientific Computing

A multilevel decoupled method for a mixed Stokes/Darcy model

Journal of Computational and Applied Mathematics

The semi-convergence of generalized SSOR method for singular augmented systems

HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications

Parallel solution of sparse linear systems arising in advection–diffusion problems

Euro-Par'05 Proceedings of the 11th international Euro-Par conference on Parallel Processing

Variationally consistent force-based finite element method for the geometrically non-linear analysis of Euler-Bernoulli framed structures

Finite Elements in Analysis and Design

Discontinuous galerkin subgrid finite element method for heterogeneous brinkman's equations

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

A fully implicit method for fluid flow based on vectorial operator splitting

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

Adaptive least squares finite element methods in elasto-plasticity

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

Stokes, Maxwell and Darcy: A single finite element approximation for three model problems

Applied Numerical Mathematics

Numerical approximation with Nitsche's coupling of transient Stokes'/Darcy's flow problems applied to hemodynamics

Applied Numerical Mathematics

W1,q stability of the Fortin operator for the MAC scheme

Calcolo: a quarterly on numerical analysis and theory of computation

Dynamic wave propagation in infinite saturated porous media half spaces

Computational Mechanics

Multilevel discretization of symmetric saddle point systems without the discrete LBB condition

Applied Numerical Mathematics

Interfacial shear stress analysis of bar and thin film bonded to 2D elastic substrate using a coupled FE-BIE method

Finite Elements in Analysis and Design

Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations

Journal of Computational and Applied Mathematics

Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations

Journal of Scientific Computing

A new semi-implicit formulation for multiple-surface flow rules in multiplicative plasticity

Computational Mechanics

BDDC preconditioners for Naghdi shell problems and MITC9 elements

Computers and Structures

An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method

Journal of Computational Physics

A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates

Journal of Computational Physics

Computer modeling of liquid-solid impacts

Mathematical and Computer Modelling: An International Journal

The unilateral frictionless contact of a piezoelectric body with a rigid support

Mathematical and Computer Modelling: An International Journal

Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods

Mathematical and Computer Modelling: An International Journal

A thermo-electrical problem with a nonlocal radiation boundary condition

Mathematical and Computer Modelling: An International Journal

Composition duality principles for mixed variational inequalities

Mathematical and Computer Modelling: An International Journal

Coupling nonlinear Stokes and Darcy flow using mortar finite elements

Applied Numerical Mathematics

A Posteriori Error Estimates for HDG Methods

Journal of Scientific Computing

A reduced-order LSMFE formulation based on POD method and implementation of algorithm for parabolic equations

Finite Elements in Analysis and Design

Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics

Journal of Computational Physics

Numerical methods for the biomechanics of growing trees

Computers & Mathematics with Applications

A numerical investigation on the size effect of fiber-reinforced concrete specimens in crack propagation

Computational Mechanics

A two-level mesh repartitioning scheme for the displacement-based lower-order finite element methods in volumetric locking-free analyses

Computational Mechanics

On the Finite Element Approximation of $p$-Stokes Systems

SIAM Journal on Numerical Analysis

A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions

SIAM Journal on Numerical Analysis

Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology Optimization

SIAM Journal on Numerical Analysis

Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations

SIAM Journal on Numerical Analysis

Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements

SIAM Journal on Numerical Analysis

Guaranteed A Posteriori Error Estimator for Mixed Finite Element Methods of Linear Elasticity with Weak Stress Symmetry

SIAM Journal on Numerical Analysis

A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem

SIAM Journal on Numerical Analysis

Goal-Oriented Local A Posteriori Error Estimators for H(div) Least-Squares Finite Element Methods

SIAM Journal on Numerical Analysis

Mixed finite elements for numerical weather prediction

Journal of Computational Physics

A second-order virtual node algorithm for nearly incompressible linear elasticity in irregular domains

Journal of Computational Physics

Original article: Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses

Mathematics and Computers in Simulation

Original article: Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips

Mathematics and Computers in Simulation

Simulation of complex nonlinear elastic bodies using lattice deformers

ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012

Spurious inertial oscillations in shallow-water models

Journal of Computational Physics

Lagrangian shock hydrodynamics on tetrahedral meshes: A stable and accurate variational multiscale approach

Journal of Computational Physics

Computational bases for RTk and BDMk on triangles

Computers & Mathematics with Applications

A stress improvement procedure

Computers and Structures

On the stability of the Immersed Finite Element Method with high order structural elements

Computers and Structures

A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials

Journal of Computational and Applied Mathematics

A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces

Journal of Computational and Applied Mathematics

A semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations

Journal of Computational Physics

A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations

Journal of Computational Physics

A-posteriori error analysis to the exterior Stokes problem

Applied Numerical Mathematics

A weak Galerkin finite element method for second-order elliptic problems

Journal of Computational and Applied Mathematics

A Mixed and Nonconforming FEM with Nonmatching Meshes for a Coupled Stokes-Darcy Model

Journal of Scientific Computing

On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

Journal of Computational Physics

Multifractal subgrid-scale modeling within a variational multiscale method for large-eddy simulation of turbulent flow

Journal of Computational Physics

Synthetic benchmark for modeling flow in 3D fractured media

Computers & Geosciences

Comparison of dual-mixed h- and p-version finite element models for axisymmetric problems of cylindrical shells

Finite Elements in Analysis and Design

Analysis of mixed finite element methods for fourth-order wave equations

Computers & Mathematics with Applications

Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems

Journal of Scientific Computing

Reduction of mesh distortion effects for nine-node elements using corrected shape functions

Finite Elements in Analysis and Design

Hermite finite elements for diffusion phenomena

Journal of Computational Physics

Rectangular mixed elements for elasticity with weakly imposed symmetry condition

Advances in Computational Mathematics

Indefinite block triangular preconditioner for symmetric saddle point problems

Calcolo: a quarterly on numerical analysis and theory of computation

Numerical Modeling of Degenerate Equations in Porous Media Flow

Journal of Scientific Computing

An asymptotic preserving scheme for the streamer simulation

Journal of Computational Physics

Simulating left ventricular fluid-solid mechanics through the cardiac cycle under LVAD support

Journal of Computational Physics

Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Journal of Scientific Computing

Multigrid Methods for the Stokes Equations using Distributive Gauss---Seidel Relaxations based on the Least Squares Commutator

Journal of Scientific Computing

The Compact Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity

Journal of Scientific Computing

A Note on the Ladyženskaja-Babuška-Brezzi Condition

Journal of Scientific Computing

Large sliding contact along branched discontinuities with X-FEM

Computational Mechanics

A computational study of the weak Galerkin method for second-order elliptic equations

Numerical Algorithms

A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: High-order computations of viscous fingering instabilities in complex geometry

Journal of Computational Physics

On generalized parameterized inexact Uzawa method for a block two-by-two linear system

Journal of Computational and Applied Mathematics

A posteriori error estimate for the H(div) conforming mixed finite element for the coupled Darcy-Stokes system

Journal of Computational and Applied Mathematics

A posteriori error analysis for discontinuous finite volume methods of elliptic interface problems

Journal of Computational and Applied Mathematics

Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem

Computers & Mathematics with Applications

An edge-based smoothed finite element method softened with a bubble function (bES-FEM) for solid mechanics problems

Computers and Structures

Weak imposition of the slip boundary condition on curved boundaries for Stokes flow

Journal of Computational Physics

Numerical results for mimetic discretization of Reissner---Mindlin plate problems

Calcolo: a quarterly on numerical analysis and theory of computation

A Discontinuous/continuous Galerkin method for modeling of interphase damage in fibrous composite systems

Computational Mechanics

Original article: Efficient numerical integration of an elastic-plastic damage law within a mixed velocity-pressure formulation

Mathematics and Computers in Simulation

Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems

Journal of Computational Physics

Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms

Journal of Computational Physics

A finite element exterior calculus framework for the rotating shallow-water equations

Journal of Computational Physics

Mimetic finite difference method

Journal of Computational Physics

Mimetic scalar products of discrete differential forms

Journal of Computational Physics

Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems

Journal of Computational and Applied Mathematics

A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids

Journal of Computational and Applied Mathematics

An equation error approach for the elasticity imaging inverse problem for predicting tumor location

Computers & Mathematics with Applications

Least squares finite element method with high continuity NURBS basis for incompressible Navier-Stokes equations

Journal of Computational Physics

On Rosenbrock methods for the time integration of nearly incompressible materials and their usage for nonlinear model reduction

Journal of Computational and Applied Mathematics

A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem

Journal of Scientific Computing

A Simple Conforming Mixed Finite Element for Linear Elasticity on Rectangular Grids in Any Space Dimension

Journal of Scientific Computing

A Mixed Finite Element Method for the Stokes Equations Based on a Weakly Over-Penalized Symmetric Interior Penalty Approach

Journal of Scientific Computing

A Decoupled Preconditioning Technique for a Mixed Stokes---Darcy Model

Journal of Scientific Computing

Multilevel Gradient Uzawa Algorithms for Symmetric Saddle Point Problems

Journal of Scientific Computing

Approximation of incompressible large deformation elastic problems: some unresolved issues

Computational Mechanics

Computing the dynamics of biomembranes by combining conservative level set and adaptive finite element methods

Journal of Computational Physics

Solving PDEs with Intrepid

Scientific Programming - A New Overview of the Trilinos Project --Part 1

Axioms of adaptivity

Computers & Mathematics with Applications