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Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction

Computer methods in applied mechanics and engineering, 2022-12, Vol.402, p.115442, Article 115442

2022

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Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics

Computer methods in applied mechanics and engineering, 2015-06, Vol.289, p.355-386

2015

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Stable Generalized Finite Element Method (SGFEM)

Computer methods in applied mechanics and engineering, 2012, Vol.201, p.91-111

2012

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A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics

Computer methods in applied mechanics and engineering, 2013-11, Vol.266, p.23-39

2013

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The generalized finite element method

Computer methods in applied mechanics and engineering, 2001-01, Vol.190 (32), p.4081-4193

2001

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The design and analysis of the Generalized Finite Element Method

Computer methods in applied mechanics and engineering, 2000-01, Vol.181 (1), p.43-69

2000

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A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria

Computer methods in applied mechanics and engineering, 2008-05, Vol.197 (29), p.2517-2539

2008

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The partition of unity finite element method: Basic theory and applications

Computer methods in applied mechanics and engineering, 1996-12, Vol.139 (1), p.289-314

1996

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The generalized finite element method: an example of its implementation and illustration of its performance

International journal for numerical methods in engineering, 2000-03, Vol.47 (8), p.1401-1417

2000

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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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Reliability of computational science

Numerical methods for partial differential equations, 2007-07, Vol.23 (4), p.753-784

2007

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p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions

SIAM journal on numerical analysis, 2003-01, Vol.41 (4), p.1195-1208

2003

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Static frame challenge problem: Summary

Computer methods in applied mechanics and engineering, 2008-05, Vol.197 (29), p.2572-2577

2008

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Formulation of the static frame problem

Computer methods in applied mechanics and engineering, 2008-05, Vol.197 (29), p.2496-2499

2008

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Robustness of error estimators for finite element solutions of problems with high orthotropy

Computer methods in applied mechanics and engineering, 2009-05, Vol.198 (21), p.1946-1966

2009

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The Science and Engineering of Mechanical Shock

1st ed. 2020., 2019

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Validation of a posteriori error estimators by numerical approach

International journal for numerical methods in engineering, 1994-04, Vol.37 (7), p.1073-1123

1994

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Worst case scenario analysis for elliptic problems with uncertainty

Numerische Mathematik, 2005-08, Vol.101 (2), p.185-219

2005

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Efficient Solution of Anisotropic Lattice Equations by the Recovery Method

SIAM journal on scientific computing, 2008-01, Vol.30 (5), p.2386-2404

2008

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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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Approximation properties of the h-p version of the finite element method

Computer methods in applied mechanics and engineering, 1996-07, Vol.133 (3-4), p.319-346

1996

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Introduction to Finite Element Analysis: Formulation, Verification and Validation

1. Aufl., 2011

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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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Dynamic data-driven finite element models for laser treatment of cancer

Numerical methods for partial differential equations, 2007-07, Vol.23 (4), p.904-922

2007

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A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations

Computer methods in applied mechanics and engineering, 2001-06, Vol.190 (35), p.4691-4712

2001

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Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction

Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics

Stable Generalized Finite Element Method (SGFEM)

A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics

The generalized finite element method

The design and analysis of the Generalized Finite Element Method

A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria

The partition of unity finite element method: Basic theory and applications

The generalized finite element method: an example of its implementation and illustration of its performance

Solution of stochastic partial differential equations using Galerkin finite element techniques

Reliability of computational science

p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions

Static frame challenge problem: Summary

Formulation of the static frame problem

Robustness of error estimators for finite element solutions of problems with high orthotropy

The Science and Engineering of Mechanical Shock

Validation of a posteriori error estimators by numerical approach

Worst case scenario analysis for elliptic problems with uncertainty

Efficient Solution of Anisotropic Lattice Equations by the Recovery Method

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

Approximation properties of the h-p version of the finite element method

Introduction to Finite Element Analysis: Formulation, Verification and Validation

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

Dynamic data-driven finite element models for laser treatment of cancer

A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations

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