TY - JOUR T1 - A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes JO - Communications in Computational Physics VL - 5 SP - 1405 EP - 1423 PY - 2018 DA - 2018/04 SN - 20 DO - http://doi.org/10.4208/cicp.230815.030616a UR - https://global-sci.org/intro/article_detail/cicp/11195.html KW - AB -

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.