Multigrid with matrix-dependent transfer operators for a singular perturbation problem

DOI10.1007/BF02243811zbMath0779.65049OpenAlexW1486400850MaRDI QIDQ685855

Juan-Miguel Gracia

Publication date: 18 October 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02243811

zbMATH Keywords

singular perturbationmultigridUniform convergencetwo-point boundary-value problemtwo- grid method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (11)

Multigrid method for pricing European options under the CGMY process ⋮ A note on Reusken's lemma ⋮ The convergence of parallel multiblock multigrid methods ⋮ Algebraic multigrid methods ⋮ The image-based multiscale multigrid solver, preconditioner, and reduced order model ⋮ Multigrid method with a new interpolation operator ⋮ A review of algebraic multigrid ⋮ Parallel adaptive subspace correction schemes with applications to elasticity ⋮ Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods ⋮ Robust multigrid methods for nonsmooth coefficient elliptic linear systems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Uses Software

• Wesseling

Cites Work

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• Multigrid methods: Development of fast solvers
• Black box multigrid for nonsymmetric problems
• Multigrid convergence for a singular perturbation problem
• The hierarchical basis multigrid method for convection-diffusion equations
• Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
• The Convergence Rate of Multi-Level Algorithms Applied to the Convection-Diffusion Equation
• On Maximum Norm Convergence of Multigrid Methods for Two-Point Boundary Value Problems

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