A note on the immersed finite element basis functions for elliptic interface problems

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106660 ◽

2021 ◽

Vol 115 ◽

pp. 106660

Author(s):

Hongbo Guan ◽

Zhimin Zhang ◽

Huiqing Zhu

Keyword(s):

Finite Element ◽

Basis Functions ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element

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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 ◽

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 ◽

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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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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 ◽

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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 ◽

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 ◽

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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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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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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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 ◽

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 ◽

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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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A group of immersed finite-element spaces for elliptic interface problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx074 ◽

2017 ◽

Vol 39 (1) ◽

pp. 482-511 ◽

Author(s):

Ruchi Guo ◽

Tao Lin

Keyword(s):

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element

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