Schwarz domain decomposition method for multidimensional and nonlinear parabolic equations: multidimensional subdomains with overlaps

DOI10.1080/00207169708804554zbMath0874.65072OpenAlexW2033285058MaRDI QIDQ3123356

Qi-Ming He, Lishan Kang, David J. Evans

Publication date: 13 November 1997

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169708804554

zbMATH Keywords

convergenceparallel computationdivide and conquer strategysemilinear parabolic systemsmulticolor partition techniqueSchwarz domain decomposition iterative algorithm

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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) 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)

Cites Work

• To Overlap or Not to Overlap: A Note on a Domain Decomposition Method for Elliptic Problems
• Elliptic Partial Differential Equations of Second Order
• Numerical Implementation of the Schwarz Alternating Procedure for Elliptic Partial Differential Equations
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