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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 tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.
1991 (engelsk)Inngår i: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 32, nr 1, s. 527-539Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
1991. Vol. 32, nr 1, s. 527-539
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URN: urn:nbn:se:ltu:diva-8889DOI: 10.1002/nme.1620320305ISI: A1991GD24800004Scopus ID: 2-s2.0-0026205397Lokal ID: 770bb990-6f8a-11dd-8151-000ea68e967bOAI: oai:DiVA.org:ltu-8889DiVA, id: diva2:981827
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Godkänd; 1991; 20080821 (ysko)Tilgjengelig fra: 2016-09-29 Laget: 2016-09-29 Sist oppdatert: 2018-07-10bibliografisk kontrollert

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  • de-DE
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