The convergence of the bilinear and linear immersed finite element solutions to interface problems

Xiaoming He; Tao Lin; Yanping Lin

doi:10.1002/num.20620

The convergence of the bilinear and linear immersed finite element solutions to interface problems

Xiaoming He, Tao Lin, Yanping Lin

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

63 Citations (Scopus)

Abstract

This article analyzes the error in both the bilinear and linear immersed finite element (IFE) solutions for second-order elliptic boundary problems with discontinuous coefficients. The discontinuity in the coefficients is supposed to happen across general curves, but the mesh of the IFE methods can be allowed not to align with the curve of discontinuity. It has been shown that the bilinear and linear IFE solutions converge to the exact solution under the usual assumptions about the meshes and regularity.

Original language	English
Pages (from-to)	312-330
Number of pages	19
Journal	Numerical Methods for Partial Differential Equations
Volume	28
Issue number	1
DOIs	https://doi.org/10.1002/num.20620
Publication status	Published - 1 Jan 2012

Keywords

error estimates
finite element
immersed interface
interface problems

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

More information

10.1002/num.20620

Cite this

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The convergence of the bilinear and linear immersed finite element solutions to interface problems

Abstract

Keywords

ASJC Scopus subject areas

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