Non-iterative parallel Schwarz algorithms based on overlapping domain decomposition for parabolic partial differential equations

DOI10.1090/mcom/3102zbMath1368.65183OpenAlexW2327425776MaRDI QIDQ5270830

Danping Yang

Publication date: 3 July 2017

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3102

zbMATH Keywords

algorithmparallel computationinitial boundary value problemsoverlapping domain decompositionnumerical resultnon-iterative parallel Schwarz algorithmsparabolic partial differential equations of second order

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

Parallel multiplicative Schwarz preconditioner for solving nonselfadjoint elliptic problems ⋮ A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation ⋮ Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes

Cites Work

• Schwarz type domain decomposition algorithms for parabolic equations and error estimates
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Parallel Multilevel Preconditioners
• 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
• Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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