Comparison of parallel implementation of some multi-level Schwarz methods for singularly perturbed parabolic problems

DOI10.1016/S0377-0427(99)00057-6zbMath0941.65100MaRDI QIDQ1298405

V. Pereyra

Publication date: 20 July 2000

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

zbMATH Keywords

algorithmsnumerical resultssingular perturbationparallel computationimplicit Euler methodmulti-level methodsparabolic problemSchwarz method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

Augmented Lagrangian active set methods for obstacle problems ⋮ Comparison of parallel implementation of some multi-level Schwarz methods for singularly perturbed parabolic problems ⋮ Singularly perturbed problems in partial differential equations: A survey

Cites Work

• Comparison of parallel implementation of some multi-level Schwarz methods for singularly perturbed parabolic problems
• The solution of singularly perturbed semilinear elliptic problems by iterative domain decomposition algorithms
• The computation of transient 2-D eddy current problem by domain decomposition algorithms
• Solution of a singularly perturbed parabolic problem by domain decomposition with time extrapolation
• Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems
• The solution of singularly perturbed parabolic problems by parallel algorithms combining Crank-Nicolson scheme and overlapping Schwarz methods
• Parallel two-level Schwarz methods for singularly perturbed elliptic problems
• Physically Motivated Domain Decomposition for Singularly Perturbed Equations
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Multiplicative Schwarz Methods for Parabolic Problems
• Overlapping Schwarz Methods for a Singularly Perturbed Semilinear Elliptic Problem and Their Parallel Implementation
• A Schwarz Alternating Procedure for Singular Perturbation Problems
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