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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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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Three‐dimensional immersed finite‐element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6301 ◽

2020 ◽

Vol 121 (10) ◽

pp. 2107-2127 ◽

Author(s):

Chang Lu ◽

Zhi Yang ◽

Jinwei Bai ◽

Yong Cao ◽

Xiaoming He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Three Dimensional ◽

Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Flux Jump ◽

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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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Locally Conservative Immersed Finite Element Method for Elliptic Interface Problems

Journal of Scientific Computing ◽

10.1007/s10915-021-01476-1 ◽

2021 ◽

Vol 87 (2) ◽

Author(s):

Gwanghyun Jo ◽

Do Y. Kwak ◽

Young-Ju Lee

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Locally Conservative ◽

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An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0175 ◽

2019 ◽

Vol 11 (5) ◽

pp. 1005-1021 ◽

Author(s):

global sci

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Triple Junction ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Junction Points ◽

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A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points

Results in Applied Mathematics ◽

10.1016/j.rinam.2020.100100 ◽

2020 ◽

Vol 8 ◽

pp. 100100

Author(s):

Yuan Chen ◽

Songming Hou ◽

Xu Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Triple Junction ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

Junction Points ◽

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A Partially Penalised Immersed Finite Element Method for Elliptic Interface Problems with Non-Homogeneous Jump Conditions

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.160217.070717a ◽

2018 ◽

Vol 8 (1) ◽

pp. 1-23 ◽

Author(s):

Haifeng Ji

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Jump Conditions ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

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An augmented immersed finite element method for variable coefficient elliptic interface problems in two and three dimensions

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109631 ◽

2020 ◽

Vol 418 ◽

pp. 109631

Author(s):

Haifeng Ji ◽

Zhifeng Weng ◽

Qian Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Variable Coefficient ◽

Three Dimensions ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

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An immersed finite element method for elliptic interface problems in three dimensions

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109478 ◽

2020 ◽

Vol 414 ◽

pp. 109478 ◽

Author(s):

Ruchi Guo ◽

Tao Lin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Three Dimensions ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Immersed Finite Element Method ◽

Immersed Finite Element ◽

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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 ◽

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 ◽

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