Eigenvalue analysis of a block Red-Black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation

DOI10.1002/NUM.2zbMath0993.65038OpenAlexW2116434681WikidataQ115398833 ScholiaQ115398833MaRDI QIDQ2725053

Stephen H. Brill, George F. Pinder

Publication date: 13 September 2002

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.2

zbMATH Keywords

convergencenumerical examplesPoisson equationbi-CGSTAB methodHermite collocationblock red-block Gauss-Seidel preconditioner

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Analysis of a block red-black preconditioner applied to the Hermite collocation discretization of a model parabolic equation

Uses Software

• MINOS

Cites Work

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• Manifestations of the Schur complement
• The Importance of Scaling for the Hermite Bicubic Collocation Equations
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Orthogonal Collocation for Elliptic Partial Differential Equations
• On the Iterative Solution of Hermite Collocation Equations

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