Least-squares spectral elements applied to the Stokes problem
Journal of Computational Physics
A Least-Squares Spectral Element Formulation for the Stokes Problem
Journal of Scientific Computing
Mixed-Hybrid FEM Discrete Fracture Network Model of the Fracture Flow
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations
Journal of Computational Physics
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
A spatial domain decomposition method for parabolic optimal control problems
Journal of Computational and Applied Mathematics
Numerical Estimation of Diffusivity in a Nonhysteretic Infiltration Problem
Computers & Mathematics with Applications
Numerical methods for modelling leaching of pollutants in soils
Advances in Engineering Software
Numerical performance of incomplete factorizations for 3D transient convection-diffusion problems
Advances in Engineering Software
ACM Transactions on Mathematical Software (TOMS)
Spectral domain embedding for elliptic PDEs in complex domains
Journal of Computational and Applied Mathematics
Schur complements on Hilbert spaces and saddle point systems
Journal of Computational and Applied Mathematics
Comparing Some Methods and Preconditioners for Hydropower Plant Flow Simulations
High Performance Computing for Computational Science - VECPAR 2008
Explicit and implicit FEM-FCT algorithms with flux linearization
Journal of Computational Physics
On the penalty-projection method for the Navier-Stokes equations with the MAC mesh
Journal of Computational and Applied Mathematics
Incremental unknowns method based on the θ-scheme for time-dependent convection-diffusion equations
Mathematics and Computers in Simulation
Definition of fuzzy logic rules representing finite element method experts' reasoning
Fuzzy Sets and Systems
Journal of Computational and Applied Mathematics
Optimal Boundary Control of Convention-Reaction Transport Systems with Binary Control Functions
HSCC '09 Proceedings of the 12th International Conference on Hybrid Systems: Computation and Control
Journal of Computational and Applied Mathematics
An Equal-Order DG Method for the Incompressible Navier-Stokes Equations
Journal of Scientific Computing
Journal of Computational Physics
On the valuation of interest rate products under multi-factor HJM term-structures
Applied Numerical Mathematics
Compact finite difference method for the fractional diffusion equation
Journal of Computational Physics
Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
Journal of Computational Physics
Applied Numerical Mathematics
High order finite difference numerical methods for time-dependent convection--dominated problems
Applied Numerical Mathematics - Applied scientific computing: Recent approaches to grid generation, approximation and numerical modelling
A numerical solver for the primitive equations of the ocean using term-by-term stabilization
Applied Numerical Mathematics
Higher order regularity and approximation of solutions to the Monod biodegradation model
Applied Numerical Mathematics
Estimating differential quantities using polynomial fitting of osculating jets
Computer Aided Geometric Design
Finite element techniques for removing the mixture of Gaussian and impulsive noise
IEEE Transactions on Signal Processing
Least squares finite element methods for fluid-structure interaction problems
Computers and Structures
Reduced Basis Method for quadratically nonlinear transport equations
International Journal of Computing Science and Mathematics
High-order finite difference schemes for the solution of second-order BVPs
Journal of Computational and Applied Mathematics
Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Adaptive preconditioners for nonlinear systems of equations
Journal of Computational and Applied Mathematics
On the practical implementation of feedforward control signals given in polynomial form
ETFA'09 Proceedings of the 14th IEEE international conference on Emerging technologies & factory automation
Assessment of subgrid-scale models for the incompressible Navier-Stokes equations
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
A method for discretization in time based on Cayley transform for parabolic transmission problem
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Applied Numerical Mathematics
A new stabilized finite element method for shape optimization in the steady Navier--Stokes flow
Applied Numerical Mathematics
Applied Numerical Mathematics
A non-conforming monolithic finite element method for problems of coupled mechanics
Journal of Computational Physics
Numerical Methods for the Vector-Valued Solutions of Non-smooth Eigenvalue Problems
Journal of Scientific Computing
Journal of Computational and Applied Mathematics
Error and extrapolation of a compact LOD method for parabolic differential equations
Journal of Computational and Applied Mathematics
Residual reduction algorithms for nonsymmetric saddle point problems
Journal of Computational and Applied Mathematics
GEM: a platform for advanced mathematical geosimulations
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
A Class of Domain Decomposition Preconditioners for hp-Discontinuous Galerkin Finite Element Methods
Journal of Scientific Computing
Nitsche's Method for Defective Boundary Value Problems in Incompressibile Fluid-dynamics
Journal of Scientific Computing
Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions
Journal of Scientific Computing
Error estimates for a finite element-finite volume discretization of convection-diffusion equations
Applied Numerical Mathematics
SIAM Journal on Numerical Analysis
Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations
SIAM Journal on Scientific Computing
Neural, Parallel & Scientific Computations
Model-driven tile size selection for DOACROSS loops on GPUs
Euro-Par'11 Proceedings of the 17th international conference on Parallel processing - Volume Part II
Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations
Journal of Computational Physics
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
High order finite difference schemes for the solution of elliptic PDEs
CIS'04 Proceedings of the First international conference on Computational and Information Science
Numerical modelling of the one-phase stefan problem by finite volume method
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
B-spline goal-oriented error estimators for geometrically nonlinear rods
Computational Mechanics
Journal of Scientific Computing
Applied Numerical Mathematics
Multilevel discretization of symmetric saddle point systems without the discrete LBB condition
Applied Numerical Mathematics
Journal of Scientific Computing
Mathematical and Computer Modelling: An International Journal
A Reduced Basis Model with Parametric Coupling for Fluid-Structure Interaction Problems
SIAM Journal on Scientific Computing
Journal of Computational Physics
Convergence of the forward-backward sweep method in optimal control
Computational Optimization and Applications
Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers
Applied Numerical Mathematics
Two-Image perspective photometric stereo using shape-from-shading
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
Numerical Treatment of Elliptic Problems Nonlinearly Coupled Through the Interface
Journal of Scientific Computing
An all-at-once approach for the optimal control of the unsteady Burgers equation
Journal of Computational and Applied Mathematics
Multilevel Gradient Uzawa Algorithms for Symmetric Saddle Point Problems
Journal of Scientific Computing
Comparison Between Reduced Basis and Stochastic Collocation Methods for Elliptic Problems
Journal of Scientific Computing
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This is the softcover reprint of the very popular hardcover edition. This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is one of its main features. Many kinds of problems are addressed. A comprehensive theory of Galerkin method and its variants, as well as that of collocation methods, are developed for the spatial discretization. These theories are then specified to two numerical subspace realizations of remarkable interest: the finite element method and the spectral method.