Approximation Capability of a Bilinear Immersed Finite Element Space
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. Â© 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008
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
Mathematics and Statistics
Keywords and Phrases
error estimates; finite element; immersed interface; interface problems
Article - Journal
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