科研之友
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摘要
In this note, we present and analyze a special quadratic finite volume scheme over triangular meshes for elliptic equations. The scheme is designed with the second degree Gauss points on the edges and the barycenters of the triangle elements. With a novel from-the-trial-to-test-space mapping, the inf-sup condition of the scheme is shown to hold independently of the minimal angle of the underlying mesh. As a direct consequence, the norm error of the finite volume solution is shown to converge with the optimal order.
- 出版日期2017-1
- 单位中山大学
