Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2009.m9001 ◽

2010 ◽

Vol 3 (1) ◽

pp. 23-39 ◽

Author(s):

Yan Gong and Zhilin Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Jump Conditions ◽

Immersed Interface

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Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/060666482 ◽

2008 ◽

Vol 46 (1) ◽

pp. 472-495 ◽

Author(s):

Yan Gong ◽

Bo Li ◽

Zhilin Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Jump Conditions ◽

Immersed Interface ◽

Elliptic Interface Problems

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High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.114505 ◽

2022 ◽

Vol 390 ◽

pp. 114505

Author(s):

Xujing Li ◽

Xiaodi Zhang ◽

Xinxin Zhou

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Jump Conditions ◽

Elliptic Interface Problems

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Weak Galerkin Finite Element Methods for Parabolic Interface Problems with Nonhomogeneous Jump Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1549074 ◽

2019 ◽

Vol 40 (3) ◽

pp. 259-279 ◽

Author(s):

Bhupen Deka ◽

Papri Roy

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Jump Conditions ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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A class of nonconforming immersed finite element methods for Stokes interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113493 ◽

2021 ◽

pp. 113493

Author(s):

Derrick Jones ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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A partially penalty immersed interface finite element method for anisotropic elliptic interface problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21886 ◽

2014 ◽

Vol 30 (6) ◽

pp. 1984-2028 ◽

Author(s):

Na An ◽

Huan-zhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Immersed Interface ◽

Elliptic Interface Problems ◽

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ROBUST A POSTERIORI ERROR ESTIMATOR FOR LOWEST-ORDER FINITE ELEMENT METHODS OF INTERFACE PROBLEMS

Journal of the Korea Society for Industrial and Applied Mathematics ◽

10.12941/jksiam.2016.20.137 ◽

2016 ◽

Vol 20 (2) ◽

pp. 137-150

Author(s):

KWANG-YEON KIM

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Posteriori Error ◽

Interface Problems ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error

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Optimal Finite Element Methods for Interface Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXII ◽

10.1007/978-3-319-18827-0_7 ◽

2016 ◽

pp. 77-91 ◽

Author(s):

Jinchao Xu ◽

Shuo Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems

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A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.10.015 ◽

2020 ◽

Vol 169 ◽

pp. 1-15 ◽

Author(s):

Yang Wang ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Grid Method ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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Superconvergence of immersed finite element methods for interface problems

Advances in Computational Mathematics ◽

10.1007/s10444-016-9507-7 ◽

2017 ◽

Vol 43 (4) ◽

pp. 795-821 ◽

Author(s):

Waixiang Cao ◽

Xu Zhang ◽

Zhimin Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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Immersed finite element methods for unbounded interface problems with periodic structures

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.04.020 ◽

2016 ◽

Vol 307 ◽

pp. 72-81 ◽

Author(s):

Yong Cao ◽

Yuchuan Chu ◽

Xiaoshi Zhang ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Periodic Structures ◽

Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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