Immersed finite element methods for 4th order differential equations

T. Lin, Yanping Lin, W. W. Sun, Z. Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

20 Citations (Scopus)

Abstract

We propose three new finite element methods for solving boundary value problems of 4th order differential equations with discontinuous coefficients. Typical differential equations modeling the small transverse displacement of a beam and a thin plate formed by multiple uniform materials are considered. One important feature of these finite element methods is that their meshes can be independent of the interface between different materials. Finite element spaces based on both the conforming and mixed formulations are presented. Numerical examples are given to illustrate capabilities of these methods.
Original languageEnglish
Pages (from-to)3953-3964
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume235
Issue number13
DOIs
Publication statusPublished - 1 May 2011

Keywords

  • 4th order interface problems
  • IFE methods

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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