Approximation Capability of a Bilinear Immersed Finite Element Space

Author

Xiaoming He, Missouri University of Science and TechnologyFollow
Tao Lin
Yanping Lin

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

Recommended Citation

X. He et al., "Approximation Capability of a Bilinear Immersed Finite Element Space," Numerical methods for Partial Differential Equations, Wiley-Blackwell, Jan 2008.

The definitive version is available at https://doi.org/10.1002/num.20318

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.

Publication Date

01 Jan 2008