Two-level parallel Schwarz methods for singularly perturbed semilinear elliptic problems

DOI10.1016/S0898-1221(00)00185-1zbMath0957.65110OpenAlexW2018559092MaRDI QIDQ1586252

R. Smith

Publication date: 13 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00185-1

zbMATH Keywords

convergencenumerical examplesdomain decompositionparallel computingsemiconductorsemilinear elliptic problemssingularly perturbationSchwarz alternating procedure

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Parallel numerical computation (65Y05)

Related Items (1)

Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloidal particle interactions

Cites Work

• Domain decomposition and parallel processing for the numerical solution of partial differential equations
• The solution of singularly perturbed semilinear elliptic problems by iterative domain decomposition algorithms
• The solution of singularly perturbed huge problems via domain decomposition
• Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems
• Parallel two-level Schwarz methods for singularly perturbed elliptic problems
• Computational method for a singular perturbation problem via domain decomposition and its parallel implementation
• Linear and quasilinear elliptic equations
• 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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