Solution of a singularly perturbed parabolic problem by domain decomposition with time extrapolation

DOI10.1016/0898-1221(96)00105-8zbMath0857.65099OpenAlexW2063230493MaRDI QIDQ1816682

Vadim V. Sirotkin, Igor P. Boglaev

Publication date: 9 March 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00105-8

zbMATH Keywords

convergencesingular perturbationdomain decompositionnumerical experimentsparallel computingSchwarz alternating methodtime discretizationparallel iterative algorithmstime extrapolation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

The solution of singularly perturbed parabolic problems by parallel algorithms combining Crank-Nicolson scheme and overlapping Schwarz methods ⋮ 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

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• The computation of transient 2-D eddy current problem by domain decomposition algorithms
• Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems
• Linear and quasilinear elliptic equations
• Approximate solution of a non-linear boundary value problem with a small parameter for the highest-order differential

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