Improved spectral multigrid methods for periodic elliptic problems

DOI10.1016/0021-9991(85)90159-7zbMath0569.65084OpenAlexW2036428428MaRDI QIDQ1060827

Scott R. Fulton, Achi Brandt, G. D. (Jerry) Taylor

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90159-7

zbMATH Keywords

collocationcomparisonsrefinementsspectral multigrid methodNumerical resultscoarse grid operatorsdefect correctionsmidpoint pseudospectral discretizationsmoothing rateweighted residual relaxation scheme

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Periodic solutions to PDEs (35B10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (19)

On spectral multigrid methods for the time-dependent Navier-Stokes equations ⋮ Collocation and full multigrid methods ⋮ Line relaxation for spectral multigrid methods ⋮ An analytical and numerical study of the two-dimensional Bratu equation ⋮ Multigrid methods for combined finite difference and Fourier problems ⋮ Konvergenzaussagen für Kollokationsverfahren bei elliptischen Randwertaufgaben. (Convergence of the collocation method for elliptic boundary value problems) ⋮ High-order time splitting for the Stokes equations ⋮ The Navier-Stokes-\(\alpha \beta\) equations as a platform for a spectral multigrid method to solve the Navier-Stokes equations ⋮ Locally-corrected spectral methods and overdetermined elliptic systems ⋮ An explicit Chebyshev pseudospectral multigrid method for incompressible Navier-Stokes equations ⋮ Algebraic spectral multigrid methods ⋮ Stabilization techniques for spectral methods ⋮ A spectral multigrid method for the Stokes problem in streamfunction formulation ⋮ On the convergence of spectral multigrid methods for solving periodic problems ⋮ A 3D spectral multigrid method ⋮ Perturbation solution for the viscoelastic 3D flow around a rigid sphere subject to simple shear ⋮ Spectral multigrid techniques for the Navier-Stokes equations ⋮ Finite element preconditioning for spectral multigrid methods ⋮ Spectral multigrid methods for domain decomposition problems using patching techniques

Cites Work

• Spectral multigrid methods for elliptic equations. II
• Spectral methods for multi-dimensional diffusion problems
• Spectral methods for problems in complex geometries
• Spectral multigrid methods for elliptic equations
• Uniform rational approximation of functions of several variables
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows

This page was built for publication: Improved spectral multigrid methods for periodic elliptic problems