Overlapping Schwarz Methods for a Singularly Perturbed Semilinear Elliptic Problem and Their Parallel Implementation

DOI10.1137/S1064827597317995zbMath0958.65137OpenAlexW2087202342WikidataQ109967939 ScholiaQ109967939MaRDI QIDQ4509789

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Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827597317995

zbMATH Keywords

algorithmssingular perturbationparallel computingsemilinear elliptic problemSchwarz domain decomposition methods

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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

The solution of singularly perturbed parabolic problems by parallel algorithms combining Crank-Nicolson scheme and overlapping Schwarz methods ⋮ Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloidal particle interactions ⋮ 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 ⋮ Singularly perturbed problems in partial differential equations: A survey ⋮ Parallel Schwarz methods for convection-dominated semilinear diffusion problems

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