Solving a Singularly Perturbed Elliptic Problem by a Multigrid Algorithm with Richardson Extrapolation

DOI10.1007/978-3-319-57099-0_77zbMath1368.65252OpenAlexW2913800600WikidataQ57632580 ScholiaQ57632580MaRDI QIDQ5275021

S. V. Tikhovskaya

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_77

zbMATH Keywords

algorithmlinear elliptic equationnumerical experimentsdifference schememultigrid methodShishkin meshRichardson extrapolationsingularly perturbed elliptic problemregular boundary layers\(\varepsilon\)-uniform accuracy

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Difference Methods for Singular Perturbation Problems
• Comparison of the Two-grid Method on Different Meshes for Singularly Perturbed Semilinear Problems
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems
• Some numerical experiments with multigrid methods on Shishkin meshes

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