Immersed finite element methods for parabolic equations with moving interface

Xiaoming He, Tao Lin, Yanping Lin, Xu Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

56 Citations (Scopus)

Abstract

This article presents three Crank-Nicolson-type immersed finite element (IFE) methods for solving parabolic equations whose diffusion coefficient is discontinuous across a time dependent interface. These methods can use a fixed mesh because IFEs can handle interface jump conditions without requiring the mesh to be aligned with the interface. These methods will be compared analytically in the sense of accuracy and computational cost. Numerical examples are provided to demonstrate features of these three IFE methods.
Original languageEnglish
Pages (from-to)619-646
Number of pages28
JournalNumerical Methods for Partial Differential Equations
Volume29
Issue number2
DOIs
Publication statusPublished - 1 Mar 2013

Keywords

  • Cartesian mesh
  • Crank-Nicolson scheme
  • immersed finite element
  • moving interface

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this