A discontinuous mixed covolume method for elliptic problems

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摘要

We develop a discontinuous mixed covolume method for elliptic problems on triangular meshes. An optimal error estimate for the approximation of velocity is obtained in a mesh-dependent norm. First-order L2-error estimates are derived for the approximations of both velocity and pressure.

论文关键词：65M15,65M60,Discontinuous Galerkin method,Elliptic problem,Mixed covolume method

论文评审过程：Received 21 April 2009, Revised 27 October 2010, Available online 6 November 2010.

论文官网地址：https://doi.org/10.1016/j.cam.2010.10.050