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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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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A high-order source removal finite element method for a class of elliptic interface problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.03.017 ◽

2018 ◽

Vol 130 ◽

pp. 112-130 ◽

Author(s):

Haifeng Ji ◽

Jinru Chen ◽

Zhilin Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Elliptic 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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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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An adaptive high-order unfitted finite element method for elliptic interface problems

Numerische Mathematik ◽

10.1007/s00211-021-01243-2 ◽

2021 ◽

Author(s):

Zhiming Chen ◽

Ke Li ◽

Xueshuang Xiang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

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A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.007 ◽

2019 ◽

Vol 362 ◽

pp. 423-442

Author(s):

Lin Mu

Keyword(s):

Finite Element ◽

Error Estimate ◽

Finite Element Methods ◽

A Priori ◽

Interface Problems ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Elliptic Interface Problems ◽

Galerkin Finite Element Methods ◽

A Posterior Error

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Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems

SIAM Journal on Numerical Analysis ◽

10.1137/130912700 ◽

2015 ◽

Vol 53 (2) ◽

pp. 1121-1144 ◽

Author(s):

Tao Lin ◽

Yanping Lin ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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Convergence analysis of finite element methods for H(div;Ω)-elliptic interface problems

Journal of Numerical Mathematics ◽

10.1515/jnum.2010.010 ◽

2010 ◽

Vol 18 (3) ◽

Author(s):

R. Hiptmair ◽

J. Li ◽

J. Zou

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Finite Element Methods ◽

Interface Problems ◽

Elliptic Interface Problems

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High degree discontinuous Petrov–Galerkin immersed finite element methods using fictitious elements for elliptic interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.028 ◽

2019 ◽

Vol 362 ◽

pp. 560-573 ◽

Author(s):

Qiao Zhuang ◽

Ruchi Guo

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element ◽

High Degree ◽

Immersed Finite Element Methods

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Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods

Applied Mathematics and Mechanics ◽

10.1007/s10483-019-2538-7 ◽

2019 ◽

Vol 40 (11) ◽

pp. 1657-1676 ◽

Author(s):

Yang Wang ◽

Yanping Chen ◽

Yunqing Huang ◽

Ying Liu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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