The immersed finite volume element methods for the elliptic interface problems

Richard E. Ewing, Zhilin Li, Tao Lin, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

81 Citations (Scopus)

Abstract

An immersed finite element space is used to solve the elliptic interface problems by a finite volume element method. Special nodal basis functions are introduced in a triangle whose interior intersects with the interface so that the jump conditions across the interface are satisfied. Optimal error estimates in an energy norm are obtained. Numerical results are supplied to justify the theoretical work and to reveal some interesting features of the method.
Original languageEnglish
Pages (from-to)63-76
Number of pages14
JournalMathematics and Computers in Simulation
Volume50
Issue number1-4
Publication statusPublished - 1 Nov 1999

Keywords

  • Convergence
  • Error estimate
  • Finite volume
  • Interface problems

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

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