期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 31, 期 1, 页码 732-760出版社
SIAM PUBLICATIONS
DOI: 10.1137/080717894
关键词
boundary value problem; diffusion equation; mimetic finite difference method; high-order scheme; unstructured polyhedral mesh; postprocessing
A new mimetic finite difference method for the diffusion problem is developed by using a linear interpolation for the numerical fluxes. This approach provides a higher-order accurate approximation to the flux of the exact solution. In analogy with the original formulation, a family of local scalar products is constructed to satisfy the fundamental properties of local consistency and spectral stability. The scalar solution field is approximated by a piecewise constant function. A computationally efficient postprocessing technique is also proposed to get a piecewise quadratic polynomial approximation to the exact scalar variable. Finally, optimal convergence rates and accuracy improvement with respect to the lower-order formulation are shown by numerical examples.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据