A multiscale finite element method for elliptic problems in composite materials and porous media

Implementation of Generalized Finite Element Methods for Homogenization Problems

Journal of Scientific Computing

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

Mathematics of Computation

Multi-scale finite-volume method for elliptic problems in subsurface flow simulation

Journal of Computational Physics

Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains

Journal of Computational and Applied Mathematics

Finite difference heterogeneous multi-scale method for homogenization problems

Journal of Computational Physics

A multiscale finite element method for elliptic problems with highly oscillatory coefficients

Applied Numerical Mathematics

Variational multiscale stabilized FEM formulations for transport equations: stochastic advection-diffusion and incompressible stochastic Navier-Stokes equations

Journal of Computational Physics

Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients

Computing

Computational stochastic homogenization of random media elliptic problems using Fourier Galerkin method

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

Numerical methods for multiscale elliptic problems

Journal of Computational Physics

Patch dynamics with buffers for homogenization problems

Journal of Computational Physics

Multiscale finite-volume method for compressible multiphase flow in porous media

Journal of Computational Physics

Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification

Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science

Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media

Journal of Computational Physics

Discontinuous Galerkin method based on non-polynomial approximation spaces

Journal of Computational Physics

Accurate multiscale finite element methods for two-phase flow simulations

Journal of Computational Physics

A stochastic variational multiscale method for diffusion in heterogeneous random media

Journal of Computational Physics

Multiscale finite element methods for porous media flows and their applications

Applied Numerical Mathematics

Analytical effective coefficient and a first-order approximation for linear flow through block permeability inclusions

Computers & Mathematics with Applications

Nonconforming cell boundary element methods for elliptic problems on triangular mesh

Applied Numerical Mathematics

A multilevel multiscale mimetic (M3) method for two-phase flows in porous media

Journal of Computational Physics

Upscaling methods for a class of convection-diffusion equations with highly oscillating coefficients

Journal of Computational Physics

Iterative multiscale finite-volume method

Journal of Computational Physics

Multiscale Discontinuous Galerkin Methods for Modeling Flow and Transport in Porous Media

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007

A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales

Journal of Computational Physics

A variational subgrid scale model for transient incompressible flows

International Journal of Computational Fluid Dynamics

Homogenisation with application to layered materials

Mathematics and Computers in Simulation

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

Journal of Computational Physics

Modeling complex wells with the multi-scale finite-volume method

Journal of Computational Physics

Letter to the editor: A triple level finite element method for large eddy simulations

Journal of Computational Physics

Weighted quadrature rules for finite element methods

Journal of Computational and Applied Mathematics

A family of physics-based preconditioners for solving elliptic equations on highly heterogeneous media

Applied Numerical Mathematics

Convergence analysis of the multiscale method for a class of convection--diffusion equations with highly oscillating coefficients

Applied Numerical Mathematics

Analytical Effective Coefficient and First-Order Approximation to Linear Darcy's Law through Block Inclusions

Large-Scale Scientific Computing

An efficient multi-scale Poisson solver for the incompressible Navier-Stokes equations with immersed boundaries

Journal of Computational Physics

Hierarchical modeling of the heat equation in a heterogeneous plate

Applied Numerical Mathematics

Multiscale finite-volume method for parabolic problems arising from compressible multiphase flow in porous media

Journal of Computational Physics

A Multilevel Multiscale Mimetic (M3) Method for an Anisotropic Infiltration Problem

ICCS '09 Proceedings of the 9th International Conference on Computational Science: Part I

A multi-resolution, non-parametric, Bayesian framework for identification of spatially-varying model parameters

Journal of Computational Physics

A multiscale cell boundary element method for elliptic problems

Applied Numerical Mathematics

A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers

Journal of Computational Physics

Adaptive multiscale finite-volume method for nonlinear multiphase transport in heterogeneous formations

Journal of Computational Physics

Computational stochastic homogenization of random media elliptic problems using Fourier Galerkin method

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

An exponential integrator for advection-dominated reactive transport in heterogeneous porous media

Journal of Computational Physics

Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions

Journal of Computational and Applied Mathematics

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

Applied Numerical Mathematics

A multiscale finite element method for optimal control problems governed by the elliptic homogenization equations

Computers & Mathematics with Applications

A multiscale hp-FEM for 2D photonic crystal bands

Journal of Computational Physics

Adaptive iterative multiscale finite volume method

Journal of Computational Physics

Multiscale finite element methods for high-contrast problems using local spectral basis functions

Journal of Computational Physics

An iterative multiscale finite volume algorithm converging to the exact solution

Journal of Computational Physics

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

SIAM Journal on Scientific Computing

A stochastic mixed finite element heterogeneous multiscale method for flow in porous media

Journal of Computational Physics

Hierarchical modeling of diffusive transport through nanochannels by coupling molecular dynamics with finite element method

Journal of Computational Physics

Numerical results for the blood micro-circulation modelled by a porous media

ICACM'11 Proceedings of the 2011 international conference on Applied & computational mathematics

Enhanced linearized reduced-order models for subsurface flow simulation

Journal of Computational Physics

A hierarchical fracture model for the iterative multiscale finite volume method

Journal of Computational Physics

A multiscale numerical method for the heterogeneous cable equation

Neurocomputing

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

SIAM Journal on Scientific Computing

3D Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients

SIAM Journal on Scientific Computing

A two-scale approach for the analysis of propagating three-dimensional fractures

Computational Mechanics

A new multiscale computational method for elasto-plastic analysis of heterogeneous materials

Computational Mechanics

Recent developments in the multi-scale-finite-volume procedure

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

Local-global multiscale model reduction for flows in high-contrast heterogeneous media

Journal of Computational Physics

Asymptotic-preserving scheme for highly anisotropic non-linear diffusion equations

Journal of Computational Physics

Auxiliary variables for 3D multiscale simulations in heterogeneous porous media

Journal of Computational Physics

Efficient Numerical Methods for Strongly Anisotropic Elliptic Equations

Journal of Scientific Computing

A fast and accurate adaptive solution strategy for two-scale models with continuous inter-scale dependencies

Journal of Computational Physics

Numerical Modeling of Degenerate Equations in Porous Media Flow

Journal of Scientific Computing

Coupling extended multiscale finite element method for thermoelastic analysis of heterogeneous multiphase materials

Computers and Structures

A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms

Journal of Computational Physics

Accurate multiscale finite element method for numerical simulation of two-phase flow in fractured media using discrete-fracture model

Journal of Computational Physics

A probabilistic graphical model approach to stochastic multiscale partial differential equations

Journal of Computational Physics

Block-spectral mapping for multi-scale solution

Journal of Computational Physics

Extended stochastic FEM for diffusion problems with uncertain material interfaces

Computational Mechanics

A fast multipole hybrid boundary node method for composite materials

Computational Mechanics

Generalized multiscale finite element methods (GMsFEM)

Journal of Computational Physics

Ensemble level multiscale finite element and preconditioner for channelized systems and applications

Journal of Computational and Applied Mathematics

Parameterizing the Morse potential for coarse-grained modeling of blood plasma

Journal of Computational Physics

Application of a conservative, generalized multiscale finite element method to flow models

Journal of Computational and Applied Mathematics

Spectral multiscale finite element for nonlinear flows in highly heterogeneous media: A reduced basis approach

Journal of Computational and Applied Mathematics

Algebraic multiscale solver for flow in heterogeneous porous media

Journal of Computational Physics

FEM with Trefftz trial functions on polyhedral elements

Journal of Computational and Applied Mathematics

Extended multiscale finite element method: its basis and applications for mechanical analysis of heterogeneous materials

Computational Mechanics

Shape and topology optimization for closed liquid cell materials using extended multiscale finite element method

Structural and Multidisciplinary Optimization