Parallel finite difference schemes for heat equation based upon overlapping domain decomposition

DOI10.1016/j.amc.2006.07.169zbMath1117.65121OpenAlexW2037584261MaRDI QIDQ884584

Danping Yang, Tian Min

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.169

zbMATH Keywords

convergenceheat equationnumerical examplesfinite difference schemeparallel computationoverlapping domain decomposition

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

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Cites Work

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• Schwarz type domain decomposition algorithms for parabolic equations and error estimates
• Additive Schwarz methods for parabolic problems
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• A parallel domain decomposition algorithm of mixed element equation for second-order elliptic Dirichlet boundary value problem
• Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Iterative Methods by Space Decomposition and Subspace Correction
• Multiplicative Schwarz Methods for Parabolic Problems
• Analysis of a parallel Schwarz algorithm for elliptic problems

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