Symmetric finite volume method for second order variable coefficient hyperbolic equations

摘要

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.