Parallel asynchronous Schwarz and multisplitting methods for a nonlinear diffusion problem

DOI10.1023/A:1025561332238zbMath1033.65085MaRDI QIDQ1410496

Pierre Spiteri, Didier El Baz, J.-C. Miellou

Publication date: 14 October 2003

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

iterative algorithmsboundary value problemnonlinear diffusion problemsmultisplitting methodasynchronous iterationssubdomain methodsSchwarz alterning method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (9)

Asynchronous partial update of the restricted additive Schwarz preconditioner to solve nonlinear CFD problems ⋮ Asynchronous Parareal Time Discretization For Partial Differential Equations ⋮ Grid solution of problem with unilateral constraints ⋮ Asynchronous domain decomposition methods for nonlinear PDEs ⋮ Parallel asynchronous iterations for the solution of a 3D continuous flow electrophoresis problem ⋮ Asynchronous iterations with flexible communication: contracting operators ⋮ Asynchronous substructuring method with alternating local and global iterations ⋮ Parallel Schwarz alternating methods for anisotropic diffusion of speckled medical images ⋮ Resilient asynchronous primal Schur method.

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