Approximation capability of a bilinear immersed finite element space |
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| Authors: | Xiaoming He Tao Lin Yanping Lin |
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| Institution: | 1. Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061;2. Department of Mathematical and Statistics Science, University of Alberta, Edmonton, Alberta T6G 2G1, Canada |
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| 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 |
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| Keywords: | error estimates finite element immersed interface interface problems |
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