期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 24, 期 5, 页码 1265-1300出版社
WILEY
DOI: 10.1002/num.20318
关键词
error estimates; finite element; immersed interface; interface problems
This article discusses a bilinear immersed finite element (IFE) space for solving second-order elliptic boundary value problems with discontinuous coefficients (interface problem). This is a nonconforming finite element space and its partition can be independent of the interface. The error estimates for the interpolation of a Sobolev function indicate that this IFE space has the usual approximation capability expected from bilinear polynomials. Numerical examples of the related finite element method are provided. (C) 2008 Wiley Periodicals, Inc.
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