The hierarchical basis multigrid method for convection-diffusion equations

DOI10.1007/BF01385495zbMath0757.65120MaRDI QIDQ1185489

Randolph E. Bank, Mohamed Benbourenane

Publication date: 28 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133608

zbMATH Keywords

rate of convergenceconvection-diffusion equationhierarchical basis multigrid iterationupwind finite element discretization

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

High-order compact difference scheme and multigrid method for solving the 2D elliptic problems, Multigrid with matrix-dependent transfer operators for a singular perturbation problem, Incremental unknowns method based on the \(\theta \)-scheme for time-dependent convection-diffusion equations, Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type

Uses Software

• PLTMG
• symrcm

Cites Work

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• Multigrid convergence for a singular perturbation problem
• Hierarchical bases of finite-element spaces in the discretization of nonsymmetric elliptic boundary value problems
• The hierarchical basis multigrid method
• The Convergence Rate of Multi-Level Algorithms Applied to the Convection-Diffusion Equation
• A Comparison of Two Multilevel Iterative Methods for Nonsymmetric and Indefinite Elliptic Finite Element Equations
• On the Multi-Level Splitting of Finite Element Spaces for Indefinite Elliptic Boundary Value Problems