A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems
Year: 2015
Communications in Computational Physics, Vol. 18 (2015), Iss. 2 : pp. 297–320
Abstract
In this paper, we are concerned with the constrained finite element method based on domain decomposition satisfying the discrete maximum principle for diffusion problems with discontinuous coefficients on distorted meshes. The basic idea of domain decomposition methods is used to deal with the discontinuous coefficients. To get the information on the interface, we generalize the traditional Neumann-Neumann method to the discontinuous diffusion tensors case. Then, the constrained finite element method is used in each subdomain. Comparing with the method of using the constrained finite element method on the global domain, the numerical experiments show that not only the convergence order is improved, but also the nonlinear iteration time is reduced remarkably in our method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.120914.311214a
Communications in Computational Physics, Vol. 18 (2015), Iss. 2 : pp. 297–320
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
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Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes
Wu, Dan
Lv, Junliang
Qian, Hao
Computers & Mathematics with Applications, Vol. 112 (2022), Iss. P.97
https://doi.org/10.1016/j.camwa.2022.02.021 [Citations: 8]