Two Preconditioners Based on the Multi-Level Splitting of Finite Element Spaces.
Please always quote using this URN: urn:nbn:de:0297-zib-274
- The hierarchical basis preconditioner and the recent preconditioner of BRAMBLE, PASCIAK and XU are derived and analyzed within a joint framework. This discussion elucidates the close relationship between both methods. Special care is devoted to highly nonuniform meshes; our theory is based exclusively on local properties like the shape regularity of the finite elements.
Author: | Harry Yserentant |
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Document Type: | ZIB-Report |
MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Fxx Numerical linear algebra / 65F10 Iterative methods for linear systems [See also 65N22] |
65-XX NUMERICAL ANALYSIS / 65Fxx Numerical linear algebra / 65F35 Matrix norms, conditioning, scaling [See also 15A12, 15A60] | |
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N20 Ill-posed problems | |
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods | |
Date of first Publication: | 1989/11/17 |
Series (Serial Number): | ZIB-Report (SC-89-09) |
ZIB-Reportnumber: | SC-89-09 |
Published in: | Appeared in: Numer. Math. 58 (1990), pp. 163-184 |