Preconditioning Second-Order Elliptic Operators: Experiment and Theory

DOI10.1137/0913014zbMath0752.65069OpenAlexW1966583108MaRDI QIDQ3990916

Seymour V. Parter, Wayne D. Joubert, Thomas A. Manteuffel, Sze-Ping Wong

Publication date: 28 June 1992

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0913014

zbMATH Keywords

numerical experimentspreconditioningcondition numbersingular valuespreconditioned conjugate gradient type methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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GMRES computation of high frequency electrical field propagation in land mine detection ⋮ On the superlinear convergence of PCG algorithms: Numerical experiments for convection-diffusion equations ⋮ Equivalent operator preconditioning for elliptic problems

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