On the convergence of spectral multigrid methods for solving periodic problems
From MaRDI portal
Publication:1201958
DOI10.1007/BF02575811zbMath0772.65078MaRDI QIDQ1201958
Publication date: 19 January 1993
Published in: Calcolo (Search for Journal in Brave)
performancenumerical experimentsperiodic boundary conditionsmultigrid methodsoptimal rate of convergencecollocation-spectral methods
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10)
Related Items
Solving negative order equations by the multigrid method via variable substitution, On the $2p$th-Order of Convergence of the Galerkin Difference Method
Cites Work
- Spectral multigrid methods for elliptic equations. II
- Spectral element multigrid. II: Theoretical justification
- Improved spectral multigrid methods for periodic elliptic problems
- A conjugate gradient method and a multigrid algorithm for Morley's finite element approximation of the biharmonic equation
- Line relaxation for spectral multigrid methods
- Multigrid methods for combined finite difference and Fourier problems
- Spectral element multigrid. I: Formulation and numerical results
- Spectral multigrid methods for elliptic equations
- Preconditioners for the Spectral Multigrid Method
- Optimal-Order Nonnested Multigrid Methods for Solving Finite Element Equations I: On Quasi-Uniform Meshes
- An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements
- Multilevel Algorithms for Mixed Problems. II. Treatment of the Mini-Element
- Spectral and Pseudo Spectral Methods for Advection Equations
- An Optimal Order Process for Solving Finite Element Equations
- A Multigrid Algorithm for the Lowest-Order Raviart–Thomas Mixed Triangular Finite Element Method
- Higher-Dimensional Nonnested Multigrid Methods
- An Optimal-Order Nonconforming Multigrid Method for the Biharmonic Equation
- Optimal-Order Nonnested Multigrid Methods for Solving Finite Element Equations II: On Non-Quasi-Uniform Meshes
- The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms
- Iterative Solution Methods for Plate Bending Problems: Multigrid and Preconditioned<scp>cg</scp>algorithm