Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems

Ruchi Guo, Tao Lin, Yanping Lin, Qiao Zhuang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

This article presents an error analysis of the symmetric linear/bilinear partially penalized immersed finite element (PPIFE) methods for interface problems of Helmholtz equations. Under the assumption that the exact solution possesses a usual piecewise H2 regularity, the optimal error bounds for the PPIFE solutions are derived in an energy norm and the usual L2 norm. A numerical example is conducted to validate the theoretical conclusions.

Original languageEnglish
Article number113378
Pages (from-to)1-11
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume390
DOIs
Publication statusPublished - Jul 2021

Keywords

  • Error estimates
  • Helmholtz type
  • Immersed finite element methods
  • Interface problems

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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