Year: 2020
Author: Wenbo Gong, Qingsong Zou
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 5 : pp. 679–694
Abstract
In this paper, we post-process the finite element solutions for parabolic equations to meet discrete conservation laws in element-level. The post-processing procedure are implemented by two different approaches: one is by computing a globally continuous flux function and the other is by computing the so-called finite-volume-element-like solution. Both approaches only require to solve a small linear system on each element of the underlying mesh. The post-processed flux converges to the exact flux with optimal convergence rates. Numerical computations verify our theoretical findings.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-17876
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 5 : pp. 679–694
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Conservation laws postprocessing finite volume solution.