Year: 2017
Author: Zhiguang Xiong, Kang Deng
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 1 : pp. 186–204
Abstract
In this paper we extend the idea of interpolated coefficients for a semilinear problem to the quadratic triangular finite volume element method. At first, we introduce quadratic triangular finite volume element method with interpolated coefficients for a boundary value problem of semilinear elliptic equation. Next, we derive convergence estimate in $H^1$-norm, $L^2$-norm and $L^∞$-norm, respectively. Finally, an example is given to illustrate the effectiveness of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m63
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 1 : pp. 186–204
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Semilinear elliptic equation triangulation finite volume element with interpolated coefficients.
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