Comparison of the Two-grid Method on Different Meshes for Singularly Perturbed Semilinear Problems

DOI10.1063/1.3030800zbMath1179.65095OpenAlexW1589704690MaRDI QIDQ3650640

Ivanka Tr. Angelova, Lubin G. Vulkov

Publication date: 15 December 2009

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3030800

zbMATH Keywords

convergencecomparison of methodssingular perturbationfinite element methodnumerical experimentsdifference schemedifference schemesShishkin meshtwo-grid algorithmnonlinear reaction diffusion equationsBakhvalou meshVulanovich mesh

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

A Two-Grid Algorithm for Solution of the Difference Equations of a System of Singularly Perturbed Semilinear Equations ⋮ Interpolation Method for a Function with a Singular Component ⋮ Solving a Singularly Perturbed Elliptic Problem by a Multigrid Algorithm with Richardson Extrapolation

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