Highly accurate finite element method for one-dimensional elliptic interface problems

A. Loubenets; T. Ali; M. Hanke

doi:10.1016/j.apnum.2007.12.003

Highly accurate finite element method for one-dimensional elliptic interface problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.12.003 ◽

2009 ◽

Vol 59 (1) ◽

pp. 119-134 ◽

Cited By ~ 9

Author(s):

A. Loubenets ◽

T. Ali ◽

M. Hanke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

One Dimensional ◽

Element Method

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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 ◽

Cited By ~ 12

Author(s):

Na An ◽

Huan-zhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Immersed Interface ◽

Elliptic Interface Problems ◽

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 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 ◽

Cited By ~ 4

Author(s):

Haifeng Ji ◽

Jinru Chen ◽

Zhilin Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

High Order ◽

Interface Problems ◽

Elliptic Interface Problems ◽

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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Fictitious domain finite element method for Stokes/elliptic interface problems with jump coefficients

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.030 ◽

2019 ◽

Vol 356 ◽

pp. 81-97 ◽

Cited By ~ 2

Author(s):

Pengtao Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Fictitious Domain ◽

Elliptic Interface Problems ◽

Element Method

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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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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 ◽

High Order ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Element Method

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A Simple Boundary Approximation for the Non-symmetric Coupling of the Finite Element Method and the Boundary Element Method for Parabolic-Elliptic Interface Problems

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2017 ◽

10.1007/978-3-319-96415-7_94 ◽

2019 ◽

pp. 993-1001

Author(s):

Christoph Erath ◽

Robert Schorr

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Element Method ◽

Boundary Element ◽

Interface Problems ◽

The Finite Element Method ◽

Elliptic Interface Problems ◽

Simple Boundary ◽

Boundary Approximation ◽

Element Method

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An unfitted interface penalty finite element method for elliptic interface problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.06.004 ◽

2017 ◽

Vol 323 ◽

pp. 439-460 ◽

Cited By ~ 25

Author(s):

Peiqi Huang ◽

Haijun Wu ◽

Yuanming Xiao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Penalty Finite Element Method ◽

Element Method

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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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