A Conservative Domain Decomposition Procedure for Nonlinear Diffusion Problems on Arbitrary Quadrilateral Grids

DOI10.1137/10081335XzbMath1230.65100OpenAlexW1967702424MaRDI QIDQ3103518

Yanzhong Yao, Li Yin, Guang-Wei Yuan

Publication date: 7 December 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/10081335x

zbMATH Keywords

stabilityconvergencenumerical resultsdomain decompositionparallel computationerror boundNeumann boundary conditionsnonlinear diffusion equationfinite volume schemeDirichlet boundary dataconservationarbitrary quadrilateral gridsPicard nonlinear iteration

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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