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Comparative study of the behaviour of a direct solver and a preconditioned iterative solver for the equations arising from the discretization by Chebyshev collocation of a second-order partial differential equation on a square
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
1991 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 32, no 1, p. 527-539Article in journal (Refereed) Published
Abstract [en]

The behaviour is compared of two solvers for the discrete equations arising from the discretization using Chebyshev collocation of a second-order linear partial differential equation on a square. The alternative solvers considered are a direct solver and an iterative solver based on preconditioning with the matrix arising from finite-difference discretization of the governing equation. The total error of the collocation derivatives and the separate contributions from round-off and discretization error are examined. The efficiency of the two solvers is compared. The iterative solver is more efficient than the direct solver on fine grids for equations similar to the Poisson equation, provided that there are Dirichlet boundary conditions on at least three of the sides of the square.

Place, publisher, year, edition, pages
1991. Vol. 32, no 1, p. 527-539
National Category
Computational Mathematics
Research subject
Scientific Computing
Identifiers
URN: urn:nbn:se:ltu:diva-8889DOI: 10.1002/nme.1620320305ISI: A1991GD24800004Scopus ID: 2-s2.0-0026205397Local ID: 770bb990-6f8a-11dd-8151-000ea68e967bOAI: oai:DiVA.org:ltu-8889DiVA, id: diva2:981827
Note
Godkänd; 1991; 20080821 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Kjellmert, Bo

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