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Implicitly enriched Galerkin methods for numerical solutions of fourth‐order partial differential equations containing singularities

Numerical methods for partial differential equations, 2018-11, Vol.34 (6), p.2079-2112

2018

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Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners

International journal for numerical methods in engineering, 2014-01, Vol.97 (3), p.149-180

2014

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Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems

Computational mechanics, 2016-12, Vol.58 (6), p.1019-1038

2016

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Extraction formulas of stress intensity factors for the biharmonic equations containing crack singularities

Computers & mathematics with applications (1987), 2020-09, Vol.80 (5), p.1142-1163

2020

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Numerical solutions of biharmonic equations on non-convex polygonal domains

Journal of computational and applied mathematics, 2021-01, Vol.381, p.113022, Article 113022

2021

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Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities

Computer methods in applied mechanics and engineering, 2013-02, Vol.254, p.334-352

2013

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Extraction of stress intensity factors of biharmonic equations with corner singularities corresponding to mixed boundary conditions of clamped, simply supported, and free (II)

Computers & mathematics with applications (1987), 2022-03, Vol.109, p.235-259

2022

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Reproducing polynomial particle methods for boundary integral equations

Computational mechanics, 2011-07, Vol.48 (1), p.27-45

2011

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Meshfree particle methods for thin plates

Computer methods in applied mechanics and engineering, 2012-02, Vol.209-212, p.156-171

2012

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The reproducing singularity particle shape functions for problems containing singularities

Computational mechanics, 2007-12, Vol.41 (1), p.135-157

2007

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The smooth piecewise polynomial particle shape functions corresponding to patch-wise non-uniformly spaced particles for meshfree particle methods

Computational mechanics, 2007-08, Vol.40 (3), p.569-594

2007

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The piecewise polynomial partition of unity functions for the generalized finite element methods

Computer methods in applied mechanics and engineering, 2008-08, Vol.197 (45), p.3702-3711

2008

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Almost everywhere partition of unity to deal with essential boundary conditions in meshless methods

Computer methods in applied mechanics and engineering, 2009-09, Vol.198 (41), p.3299-3312

2009

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The generalized product partition of unity for the meshless methods

Journal of computational physics, 2010-03, Vol.229 (5), p.1600-1620

2010

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Reproducing polynomial (singularity) particle methods and adaptive meshless methods for two-dimensional elliptic boundary value problems

Computer methods in applied mechanics and engineering, 2009-02, Vol.198 (9), p.933-946

2009

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Meshfree Particle Methods in the Framework of Boundary Element Methods for the Helmholtz Equation

Journal of scientific computing, 2013-04, Vol.55 (1), p.200-230

2013

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The closed form reproducing polynomial particle shape functions for meshfree particle methods

Computer methods in applied mechanics and engineering, 2007-07, Vol.196 (35), p.3435-3461

2007

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Extraction of stress intensity factors of biharmonic equations with free boundary conditions on crack faces (III): SIF of a thin plate subjected to the bending moment

Journal of computational and applied mathematics, 2024-12, Vol.451, p.116087, Article 116087

2024

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Finite element solutions for three-dimensional elliptic boundary value problems on unbounded domains

Numerical methods for partial differential equations, 2006-11, Vol.22 (6), p.1418-1437

2006

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The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities

Journal of computational physics, 1995-10, Vol.121 (2), p.193-212

1995

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The weighted Ritz-Galerkin method for elliptic boundary value problems on unbounded domains

Numerical methods for partial differential equations, 2003-05, Vol.19 (3), p.301-326

2003

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Extension of the method of auxiliary mapping for three-dimensional elliptic boundary value problems

International journal for numerical methods in engineering, 2001-02, Vol.50 (5), p.1103-1129

2001

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Accurate mode-separated energy release rates for delamination cracks

Journal of computational physics, 2004, Vol.193 (1), p.86-114

Oh, Hae-Soo

2004

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Numerical methods and error analysis for one dimensional elliptic problems containing singularities

Numerical methods for partial differential equations, 2003-05, Vol.19 (3), p.399-420

2003

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The h-p version of the finite element method for problems with interfaces

International journal for numerical methods in engineering, 1994-05, Vol.37 (10), p.1741-1762

1994

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Implicitly enriched Galerkin methods for numerical solutions of fourth‐order partial differential equations containing singularities

Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners

Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems

Extraction formulas of stress intensity factors for the biharmonic equations containing crack singularities

Numerical solutions of biharmonic equations on non-convex polygonal domains

Mapping techniques for isogeometric analysis of elliptic boundary value problems containing singularities

Extraction of stress intensity factors of biharmonic equations with corner singularities corresponding to mixed boundary conditions of clamped, simply supported, and free (II)

Reproducing polynomial particle methods for boundary integral equations

Meshfree particle methods for thin plates

The reproducing singularity particle shape functions for problems containing singularities

The smooth piecewise polynomial particle shape functions corresponding to patch-wise non-uniformly spaced particles for meshfree particle methods

The piecewise polynomial partition of unity functions for the generalized finite element methods

Almost everywhere partition of unity to deal with essential boundary conditions in meshless methods

The generalized product partition of unity for the meshless methods

Reproducing polynomial (singularity) particle methods and adaptive meshless methods for two-dimensional elliptic boundary value problems

Meshfree Particle Methods in the Framework of Boundary Element Methods for the Helmholtz Equation

The closed form reproducing polynomial particle shape functions for meshfree particle methods

Extraction of stress intensity factors of biharmonic equations with free boundary conditions on crack faces (III): SIF of a thin plate subjected to the bending moment

Finite element solutions for three-dimensional elliptic boundary value problems on unbounded domains

The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities

The weighted Ritz-Galerkin method for elliptic boundary value problems on unbounded domains

Extension of the method of auxiliary mapping for three-dimensional elliptic boundary value problems

Accurate mode-separated energy release rates for delamination cracks

Numerical methods and error analysis for one dimensional elliptic problems containing singularities

The h-p version of the finite element method for problems with interfaces

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