The contraction number of a multigrid method with mesh ratio 2 for solving Poisson's equation
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Publication:799355
DOI10.1016/0024-3795(84)90074-0zbMath0548.65074OpenAlexW2071731810MaRDI QIDQ799355
Publication date: 1984
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(84)90074-0
Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items (5)
The contraction number of a multigrid method with mesh ratio two for solving model problems ⋮ Remarks on multigrid convergence theorems ⋮ Estimates for multigrid methods based on red-black Gauss-Seidel smoothings ⋮ Two-level hierarchically preconditioned conjugate gradient methods for solving linear elasticity finite element equations ⋮ Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step
Cites Work
- A note on MGR methods
- The contraction number of a multigrid method for solving the Poisson equation
- On the multi-grid method applied to difference equations
- Convergence of Multi-Grid Iterations Applied to Difference Equations
- An Optimal Order Process for Solving Finite Element Equations
- A Comparison of Two Multilevel Iterative Methods for Nonsymmetric and Indefinite Elliptic Finite Element Equations
- Schnelle Lösung von Randwertaufgaben
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- On the l 2 Convergence of an Algorithm for Solving Finite Element Equations
- On Some Theoretical and Practical Aspects of Multigrid Methods
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