Inf-sup stability of Petrov-Galerkin immersed finite element methods for one-dimensional elliptic interface problems-Reference-Cited by-同舟云学术

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Inf-sup stability of Petrov-Galerkin immersed finite element methods for one-dimensional elliptic interface problems

Published:2018-04-23 Issue:6 Volume:34 Page:1917-1932
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Ji Haifeng¹^ORCID,Zhang Qian²,Zhang Bin³

Affiliation:

1. School of Science; Nanjing University of Posts and Telecommunications; Nanjing Jiangsu 210023 China

2. Institute of Information Technology; Nanjing University of Chinese Medicine; Nanjing Jiangsu 210023 China

3. School of Mathematical Sciences; Qufu Normal University; Qufu Shandong 273165 China

Funder

Natural Science Foundation of Jiangsu Province

National Natural Science Foundation of China

NUPTSF

Jiangsu Key Laboratory for NSLSCS

Natural Science Foundation of the Jiangsu Higher Education Institutions of China

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/num.22268/fullpdf

Reference18 articles.

1. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources;LeVeque;SIAM J. Numer. Anal.,1994

2. Immersed-interface finite-element methods for elliptic interface problems with non-homogeneous jump conditions;Gong;SIAM J. Numer. Anal.,2008

3. The immersed interface method using a finite element formulation;Li;Appl. Numer. Math.,1998

4. Partially penalized immersed finite element methods for elliptic interface problems;Lin;SIAM J. Numer. Anal.,2015

5. New Cartesian grid methods for interface problems using the finite element formulation;Li;Numer. Math.,2003

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