Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems

DOI10.1016/0898-1221(96)00054-5zbMath0856.65111OpenAlexW1981122598MaRDI QIDQ1921235

Igor P. Boglaev, Vadim V. Sirotkin

Publication date: 24 February 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)00054-5

zbMATH Keywords

parallel computationnumerical test examplessingularly perturbed parabolic problemsiterative domain decomposition algorithms

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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

Finite difference domain decomposition algorithms for a parabolic problem with boundary layers, An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers, The solution of singularly perturbed parabolic problems by parallel algorithms combining Crank-Nicolson scheme and overlapping Schwarz methods, Error estimates for a class of partial functional differential equation with small dissipation, Solution of a singularly perturbed parabolic problem by domain decomposition with time extrapolation, Comparison of parallel implementation of some multi-level Schwarz methods for singularly perturbed parabolic problems, Two-level parallel Schwarz methods for singularly perturbed semilinear elliptic problems, On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem, Singularly perturbed problems in partial differential equations: A survey

Cites Work

• The solution of singularly perturbed huge problems via domain decomposition
• The computation of transient 2-D eddy current problem by domain decomposition algorithms
• Solution of the 2-D eddy current problem via the domain decomposition methods on serial and parallel computers
• Computational method for a singular perturbation problem via domain decomposition and its parallel implementation
• 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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