Special finite element methods for a class of second order elliptic problems with rough coefficients

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

Mathematics of Computation

Multi-level partition of unity implicits

ACM SIGGRAPH 2003 Papers

Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients

Computing

A class of difference schemes with flexible local approximation

Journal of Computational Physics

Multi-level partition of unity implicits

SIGGRAPH '05 ACM SIGGRAPH 2005 Courses

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

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

Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions

Journal of Computational and Applied Mathematics

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

Journal of Computational Physics

Weighted quadrature rules for finite element methods

Journal of Computational and Applied Mathematics

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

Applied Numerical Mathematics

A multiscale cell boundary element method for elliptic problems

Applied Numerical Mathematics

A Trilinear Immersed Finite Element Method for Solving the Electroencephalography Forward Problem

SIAM Journal on Scientific Computing

Parallel simulations of three-dimensional cracks using the generalized finite element method

Computational Mechanics

Approximation properties of the Generalized Finite Element Method

Advances in Computational Mathematics

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

Parallel generalized finite element method for magnetic multiparticle problems

VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science

A note on the conditioning of a class of generalized finite element methods

Applied Numerical Mathematics

Formulation and implementation of a high-order 3-D domain integral method for the extraction of energy release rates

Computational Mechanics

Heterogeneous mixtures of elliptical particles: Directly resolving local and global properties and responses

Journal of Computational Physics

Auxiliary variables for 3D multiscale simulations in heterogeneous porous media

Journal of Computational Physics

Efficient analysis of transient heat transfer problems exhibiting sharp thermal gradients

Computational Mechanics

An object-oriented approach to the Generalized Finite Element Method

Advances in Engineering Software

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

Computers and Structures

Subdomain-based error techniques for generalized finite element approximations of problems with singular stress fields

Computational Mechanics

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

Computational Mechanics