Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient

Xiaoming He, Tao Lin, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

36 Citations (Scopus)

Abstract

This paper applies bilinear immersed finite elements (IFEs) in the interior penalty discontinuous Galerkin (DG) methods for solving a second order elliptic equation with discontinuous coefficient. A discontinuous bilinear IFE space is constructed and applied to both the symmetric and nonsymmetric interior penalty DG formulations. The new methods can solve an interface problem on a Cartesian mesh independent of the interface with local refinement at any locations needed even if the interface has a nontrivial geometry. Numerical examples are provided to show features of these methods.
Original languageEnglish
Pages (from-to)467-483
Number of pages17
JournalJournal of Systems Science and Complexity
Volume23
Issue number3
DOIs
Publication statusPublished - 14 Jul 2010

Keywords

  • Adaptive mesh
  • Discontinuous Galerkin
  • Immersed interface
  • Interface problems
  • Penalty

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Information Systems

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