Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 2 : pp. 152–168
Abstract
In this paper we extend the idea of interpolated coefficients for a semilinear problem to the triangular finite volume element method. We first introduce triangular finite volume element method with interpolated coefficients for a boundary value problem of semilinear elliptic equation. We then 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/jcm.1310-FE3
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 2 : pp. 152–168
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Semilinear elliptic equation Triangulation Finite volume element with interpolated coefficients.
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