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The hierarchical basis multigrid method (1988)

Bank, Randolph E. ; Dupont, Todd F. ; Yserentant, Harry

Springer

Numerische Mathematik 52 (1988), S. 427-458

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ISSN: 0945-3245

Schlagwort(e): AMS(MOS): 65F10 ; 65F35 ; 65N20 ; 65N30 ; CR:G1.8

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary We derive and analyze the hierarchical basis-multigrid method for solving discretizations of self-adjoint, elliptic boundary value problems using piecewise linear triangular finite elements. The method is analyzed as a block symmetric Gauß-Seidel iteration with inner iterations, but it is strongly related to 2-level methods, to the standard multigridV-cycle, and to earlier Jacobi-like hierarchical basis methods. The method is very robust, and has a nearly optimal convergence rate and work estimate. It is especially well suited to difficult problems with rough solutions, discretized using highly nonuniform, adaptively refined meshes.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01462238

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