A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem
DOI10.1090/S0025-5718-2011-02521-4zbMath1238.65117MaRDI QIDQ3117202
M. L. Pickett, Natalia Kopteva
Publication date: 17 February 2012
Published in: Mathematics of Computation (Search for Journal in Brave)
numerical resultssingular perturbationdomain decompositionfinite differencesboundary layersBakhvalov meshShishkin meshDelaunay triangulationsemilinear reaction-diffusion equationsupra-convergenceoverlapping Schwarz methodlumped-mass finite elementsmesh requirement
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Semilinear elliptic equations (35J61)
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