Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems

DOI10.1137/S0036142995285587zbMath0889.35008OpenAlexW1997561648MaRDI QIDQ4377516

Hans G. Kaper, Marc Garbey

Publication date: 10 February 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142995285587

zbMATH Keywords

iterative methodsasymptotic analysisboundary layerstransition layersturning-point problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (11)

Numerical solution for biharmonic equation using multilevel radial basis functions and domain decomposition methods ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems ⋮ A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers ⋮ Schwarz alternating algorithms for a convection-diffusion problem ⋮ Unnamed Item ⋮ Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problem ⋮ Convergence analysis of finite element methods for singularly perturbed problems ⋮ Overlapping domain decomposition method by radial basis functions ⋮ The convergence of classical Schwarz methods applied to convection--diffusion problems with regular boundary layers ⋮ Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems

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