Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients

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

Mathematics of Computation

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

Numerical methods for multiscale elliptic problems

Journal of Computational Physics

Patch dynamics with buffers for homogenization problems

Journal of Computational Physics

A stochastic variational multiscale method for diffusion in heterogeneous random media

Journal of Computational Physics

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

Journal of Computational Physics

Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains

Applied Numerical Mathematics

Iterative multiscale finite-volume method

Journal of Computational Physics

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

Journal of Computational Physics

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

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

Journal of Computational Physics

A two-way paraxial system for simulation of wave backscattering by a random medium

Journal of Computational Physics

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

Applied Numerical Mathematics

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 multiscale cell boundary element method for elliptic problems

Applied Numerical Mathematics

Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients

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

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

Journal of Computational Physics

A hierarchical fracture model for the iterative multiscale finite volume method

Journal of Computational Physics

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

Computational Mechanics

Robust solvers for symmetric positive definite operators and weighted poincaré inequalities

LSSC'11 Proceedings of the 8th international conference on Large-Scale Scientific Computing

Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems

Journal of Computational Physics

Auxiliary variables for 3D multiscale simulations in heterogeneous porous media

Journal of Computational Physics

Robust multilevel solvers for high-contrast anisotropic multiscale problems

Journal of Computational and Applied Mathematics

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

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

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