Title

Approximation Capability of a Bilinear Immersed Finite Element Space

Abstract

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. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008

Department(s)

Mathematics and Statistics

Keywords and Phrases

error estimates; finite element; immersed interface; interface problems

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2008 Wiley-Blackwell, All rights reserved.

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