Robust High Order Convergence of an Overlapping Schwarz Method for Singularly Perturbed Semilinear Reaction-Diffusion Problems

DOI10.4208/jcm.1307-m3787zbMath1299.65213OpenAlexW2000928195MaRDI QIDQ4980518

Publication date: 30 June 2014

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.1307-m3787

zbMATH Keywords

singular perturbation numerical experiments boundary layers robust convergence overlapping Schwarz domain decomposition method semilinear reaction-diffusion problems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Semilinear parabolic equations (35K58)

Related Items (5)

High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations ⋮ Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction-diffusion equations with boundary and interior layers ⋮ A robust domain decomposition algorithm for singularly perturbed semilinear systems ⋮ Analysis of an almost fourth-order parameter-uniformly convergent numerical method for singularly perturbed semilinear reaction-diffusion system with non-smooth source term ⋮ Global uniform convergence of a numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations

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