Symmetric finite volume method for second order variable coefficient hyperbolic equations

Xiao-Ting Gan and Jun-Feng Yin

Applied Mathematics and Computation, 2015, vol. 268, issue C, 1015-1028

Abstract: In this paper, we consider one semi-discrete and two full discrete symmetric finite volume schemes for a class of second order variable coefficient hyperbolic equations based on a linear finite element space. The optimal order error estimates in L2, H1 norms are derived for the semi-discrete and full discrete schemes. Finally, some numerical experiments are presented to confirm the performance of the symmetric schemes.

Keywords: Hyperbolic equation; Symmetric finite volume scheme; Semi-discrete; Full discrete; Error estimate (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:1015-1028

DOI: 10.1016/j.amc.2015.07.010

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