A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes

DOI10.1002/NUM.22185zbMath1383.65100OpenAlexW2736230862WikidataQ115398010 ScholiaQ115398010MaRDI QIDQ4603171

Jing-Yan Yue, Zhiqiang Sheng, Guang-Wei Yuan

Publication date: 19 February 2018

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22185

zbMATH Keywords

stabilitynumerical resultsdomain decompositionparallel computationpositivityfinite volume schemeparalleldistorted meshesprediction-correction technique

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes ⋮ A new positivity‐preserving domain decomposition method for the 2‐D diffusion equation

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