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Partially penalized immersed finite element methods for parabolic interface problems

  • Published:2015-03-02 Issue:6 Volume:31 Page:1925-1947
  • ISSN:0749-159X
  • Container-title:Numerical Methods for Partial Differential Equations
  • language:en
  • Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Lin Tao1,Yang Qing2,Zhang Xu3

Affiliation:

1. Department of Mathematics; Virginia Tech; Blacksburg Virginia 24061

2. School of Mathematical Science, Shandong Normal University; Jinan 250014 People's Republic of China

3. Department of Mathematics; Purdue University; West Lafayette Indiana 47907

Funder

The NSF grant

Project of Shandong province higher educational science and technology program

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference23 articles.

1. The finite element method for elliptic equations with discontinuous coefficients;Babuška;Computing (Arch. Elektron. Rechnen),1970

2. Can a finite element method perform arbitrarily badly?;Babuška;Math Comput,2000

3. A finite element method for interface problems in domains with smooth boundaries and interfaces;Bramble;Adv Comput Math,1996

4. Finite element methods and their convergence for elliptic and parabolic interface problems;Chen;Numer Math,1998

5. Optimal convergence analysis of an immersed interface finite element method;Chou;Adv Comput Math,2010
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