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Relaxation schemes for spectral multigrid methods. (English) Zbl 0625.65112
Firstly this paper updates a paper of the author, T. A. Zang and M. Y. Hussaini [IMA J. Numer. Anal. 6, 273-292 (1986; Zbl 0624.65119)]. Two new forms of preconditioning by line relaxation are considered additionally, which were proposed for multigrid methods by A. Brandt [Math. Comput. 31, 333-390 (1977; Zbl 0373.65054)]. Numerical results for selfadjoint periodic elliptic problems are presented, which show, that incomplete LU decompositions are most effective in comparison with the other methods mentioned.
Reviewer: N.K√∂ckler

65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
35J25 Boundary value problems for second-order elliptic equations
Full Text: DOI
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