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Symmetric finite volume method for second order variable coefficient hyperbolic equations

Author

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  • Gan, Xiao-Ting
  • Yin, Jun-Feng

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.

Suggested Citation

  • Gan, Xiao-Ting & Yin, Jun-Feng, 2015. "Symmetric finite volume method for second order variable coefficient hyperbolic equations," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1015-1028.
  • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:1015-1028
    DOI: 10.1016/j.amc.2015.07.010
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