@Article{CiCP-21-162,
author = {Xiang Lai, Zhiqiang Sheng and Guangwei Yuan},
title = {Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes},
journal = {Communications in Computational Physics},
year = {2018},
volume = {21},
number = {1},
pages = {162--181},
abstract = {<p style="text-align: justify;">We construct a nonlinear monotone finite volume scheme for three-dimensional
diffusion equation on tetrahedral meshes. Since it is crucial important
to eliminate the vertex unknowns in the construction of the scheme, we present a new
efficient eliminating method. The scheme has only cell-centered unknowns and can
deal with discontinuous or tensor diffusion coefficient problems on distorted meshes
rigorously. The numerical results illustrate that the resulting scheme can preserve positivity
on distorted tetrahedral meshes, and also show that our scheme appears to be
approximate second-order accuracy for solution.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.220415.090516a},
url = {http://global-sci.org/intro/article_detail/cicp/11236.html}
}