Immersed finite element methods for parabolic equations with moving interface

Xiaoming He; Tao Lin; Yanping Lin; Xu Zhang

doi:10.1002/num.21722

Immersed finite element methods for parabolic equations with moving interface

Xiaoming He, Tao Lin, Yanping Lin, Xu Zhang

Research output: Journal article publication › Journal article › Academic research › peer-review

62 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 language	English
Pages (from-to)	619-646
Number of pages	28
Journal	Numerical Methods for Partial Differential Equations
Volume	29
Issue number	2
DOIs	https://doi.org/10.1002/num.21722
Publication status	Published - 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

More information

10.1002/num.21722

Cite this

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Immersed finite element methods for parabolic equations with moving interface

Abstract

Keywords

ASJC Scopus subject areas

More information

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