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Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

SIAM journal on numerical analysis, 2004-01, Vol.42 (2), p.800-825

2004

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Bayesian inference and model comparison for metallic fatigue data

Computer methods in applied mechanics and engineering, 2016-06, Vol.304, p.171-196

2016

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Verification and validation in computational engineering and science: basic concepts

Computer methods in applied mechanics and engineering, 2004-09, Vol.193 (36), p.4057-4066

2004

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A stable generalized finite element method (SGFEM) of degree two for interface problems

Computer methods in applied mechanics and engineering, 2020-05, Vol.363, p.1-36, Article 112889

2020

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Multiscale-Spectral GFEM and optimal oversampling

Computer methods in applied mechanics and engineering, 2020-06, Vol.364, p.112960, Article 112960

2020

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An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions

Computer methods in applied mechanics and engineering, 2023-02, Vol.404, p.115770, Article 115770

2023

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Solution of stochastic partial differential equations using Galerkin finite element techniques

Computer methods in applied mechanics and engineering, 2001-09, Vol.190 (48), p.6359-6372

2001

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Strongly stable generalized finite element method: Application to interface problems

Computer methods in applied mechanics and engineering, 2017-12, Vol.327, p.58-92

2017

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On solving elliptic stochastic partial differential equations

Computer methods in applied mechanics and engineering, 2002-08, Vol.191 (37), p.4093-4122

2002

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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

SIAM review, 2010-01, Vol.52 (2), p.317-355

2010

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Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem

Computer methods in applied mechanics and engineering, 2019-02, Vol.344, p.538-568

2019

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Introduction to Finite Element Analysis: Formulation, Verification and Validation

1. Aufl., 2011

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A condensed generalized finite element method (CGFEM) for interface problems

Computer methods in applied mechanics and engineering, 2022-03, Vol.391, p.114537, Article 114537

2022

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Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems

Multiscale modeling & simulation, 2011-01, Vol.9 (1), p.373-406

2011

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Pointwise error estimate of the Legendre expansion: The known and unknown features

Computer methods in applied mechanics and engineering, 2019-03, Vol.345, p.748-773

2019

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A cut-cell finite element method for Poisson’s equation on arbitrary planar domains

Computer methods in applied mechanics and engineering, 2021-09, Vol.383, p.113875, Article 113875

2021

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Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities

Computer methods in applied mechanics and engineering, 2016-11, Vol.311, p.476-502

2016

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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

SIAM journal on numerical analysis, 2007-01, Vol.45 (3), p.1005-1034

2007

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Stable Generalized Finite Element Method and associated iterative schemes; application to interface problems

Computer methods in applied mechanics and engineering, 2016-06, Vol.305, p.1-36

2016

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Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem II: A simplified algorithm

Computer methods in applied mechanics and engineering, 2020-05, Vol.363, p.1-20, Article 112926

2020

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Stable generalized finite element method (SGFEM) for three-dimensional crack problems

Numerische Mathematik, 2022-10, Vol.152 (2), p.475-509

2022

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Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers

SIAM journal on numerical analysis, 1997-12, Vol.34 (6), p.2392-2423

1997

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Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

SIAM review, 2000-09, Vol.42 (3), p.451-484

2000

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Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

Computer methods in applied mechanics and engineering, 2005-04, Vol.194 (12-16), p.1251-1294

2005

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Higher order stable generalized finite element method

Numerische Mathematik, 2014-09, Vol.128 (1), p.1-29

2014

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Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

Bayesian inference and model comparison for metallic fatigue data

Verification and validation in computational engineering and science: basic concepts

A stable generalized finite element method (SGFEM) of degree two for interface problems

Multiscale-Spectral GFEM and optimal oversampling

An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions

Solution of stochastic partial differential equations using Galerkin finite element techniques

Strongly stable generalized finite element method: Application to interface problems

On solving elliptic stochastic partial differential equations

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem

Introduction to Finite Element Analysis: Formulation, Verification and Validation

A condensed generalized finite element method (CGFEM) for interface problems

Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems

Pointwise error estimate of the Legendre expansion: The known and unknown features

A cut-cell finite element method for Poisson’s equation on arbitrary planar domains

Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

Stable Generalized Finite Element Method and associated iterative schemes; application to interface problems

Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem II: A simplified algorithm

Stable generalized finite element method (SGFEM) for three-dimensional crack problems

Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers

Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

Higher order stable generalized finite element method

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