Convergence analysis of the high-order mimetic finite difference method
Convergence analysis of the high-order mimetic finite difference method
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DOI：
10.1007/s00211-009-0234-6
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发表时间：
2009-08
影响因子：
2.1
通讯作者：
L. Veiga;K. Lipnikov;G. Manzini
中科院分区：
文献类型：
--
作者：
L. Veiga;K. Lipnikov;G. Manzini
我们证明了高阶MFD方法中保守变量及其通量的二阶收敛性。证明了非结构化多面体网格和全张量扩散系数的收敛性结果。对于非常系数的情况，我们也发展了一个新的高阶MFD方法族。通过数值实验验证了理论结果。
We prove second-order convergence of the conservative variable and its flux in the high-order MFD method. The convergence results are proved for unstructured polyhedral meshes and full tensor diffusion coefficients. For the case of non-constant coefficients, we also develop a new family of high-order MFD methods. Theoretical result are confirmed through numerical experiments.