Iterative methods with spectral preconditioning for elliptic equations

DOI10.1016/0045-7825(90)90034-JzbMath0742.65076OpenAlexW2033258523MaRDI QIDQ1175232

Jean-Antoine Désidéri, Hervé Guillard

Publication date: 25 June 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(90)90034-j

zbMATH Keywords

comparisonnumerical experimentsfinite elementpreconditionersfinite differencespectral methodsChebyshev collocation methodsnonseparable elliptic problems

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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

An efficient and robust spectral solver for nonseparable elliptic equations, A Chebyshev collocation algorithm for 2D non-Boussinesq convection, An implicit pseudo-spectral multi-domain method for the simulation of incompressible flows, Fast Spectrally-Accurate Solution of Variable-Coefficient Elliptic Problems, Equivalent operator preconditioning for elliptic problems, A comparison of splittings and integral equation solvers for a nonseparable elliptic equation

Cites Work

• Unnamed Item
• Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
• Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
• A spectral collocation method for two-dimensional compressible convection
• Preconditioned minimal residual methods for Chebyshev spectral calculations
• Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations