Higher-Order Immersed Finite Element Spaces for Second-Order Elliptic Interface Problems with Quadratic Interface

Springer Proceedings in Mathematics & Statistics - Advances in Applied Mathematics ◽

10.1007/978-3-319-06923-4_16 ◽

2014 ◽

pp. 171-178

Author(s):

Mohamed Ben-Romdhane ◽

Slimane Adjerid ◽

Tao Lin

Keyword(s):

Finite Element ◽

Higher Order ◽

Second Order ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element

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Three-dimensional immersed finite element method for second-order elliptic interface problems

2012 IEEE International Conference on Information Science and Technology ◽

10.1109/icist.2012.6221647 ◽

2012 ◽

Author(s):

Shuai Zhang ◽

Huanzhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Three Dimensional ◽

Second Order ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Element Method

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A second order isoparametric finite element method for elliptic interface problems

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-013-3088-8 ◽

2013 ◽

Vol 28 (1) ◽

pp. 57-74 ◽

Cited By ~ 1

Author(s):

Xu-fa Fang ◽

Dan-fu Han ◽

Xian-liang Hu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Isoparametric Finite Element ◽

Element Method

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A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems

SIAM Journal on Numerical Analysis ◽

10.1137/18m121318x ◽

2019 ◽

Vol 57 (4) ◽

pp. 1545-1573 ◽

Cited By ~ 6

Author(s):

Ruchi Guo ◽

Tao Lin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Element Method

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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 ◽

Cited By ~ 2

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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Nonconforming immersed finite element spaces for elliptic interface problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.10.040 ◽

2018 ◽

Vol 75 (6) ◽

pp. 2002-2016 ◽

Cited By ~ 13

Author(s):

Ruchi Guo ◽

Tao Lin ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element

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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 ◽

Cited By ~ 86

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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On the Convergence of Finite Element Method for Second Order Elliptic Interface Problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630560500538821 ◽

2006 ◽

Vol 27 (1) ◽

pp. 99-115 ◽

Cited By ~ 13

Author(s):

Rajen Kumar Sinha ◽

Bhupen Deka

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Element Method

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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 ◽

Cited By ~ 3

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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A Nonconforming Immersed Finite Element Method for Elliptic Interface Problems

Journal of Scientific Computing ◽

10.1007/s10915-018-0865-9 ◽

2018 ◽

Vol 79 (1) ◽

pp. 442-463 ◽

Cited By ~ 7

Author(s):

Tao Lin ◽

Dongwoo Sheen ◽

Xu Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Element Method

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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 ◽

Cited By ~ 7

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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