@Article{CiCP-20-1405, author = {}, title = {A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes}, journal = {Communications in Computational Physics}, year = {2018}, volume = {20}, number = {5}, pages = {1405--1423}, abstract = {

In this paper, a conservative parallel iteration scheme is constructed to solve nonlinear diffusion equations on unstructured polygonal meshes. The design is based on two main ingredients: the first is that the parallelized domain decomposition is embedded into the nonlinear iteration; the second is that prediction and correction steps are applied at subdomain interfaces in the parallelized domain decomposition method. A new prediction approach is proposed to obtain an efficient conservative parallel finite volume scheme. The numerical experiments show that our parallel scheme is second-order accurate, unconditionally stable, conservative and has linear parallel speed-up.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.230815.030616a}, url = {http://global-sci.org/intro/article_detail/cicp/11195.html} }