Year: 2015
Author: Yanni Gao, Yanli Chen
Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 320–332
Abstract
In this paper, a biquartic finite volume element method based on Lobatto-Guass structure is presented for variable coefficient elliptic equation on rectangular partition. Not only the optimal $H^1$ and $L^2$ error estimates but also some superconvergent properties are available and could be proved for this method. The numerical results obtained by this finite volume element scheme confirm the validity of the theoretical analysis and the effectiveness of this method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.04.04
Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 320–332
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Lobatto-Guass structure biquartic finite volume element method error estimate superconvergence.