Title: Powell-Sabin spline based multilevel preconditioners for the biharmonic equation
Authors: Maes, Jan ×
Bultheel, Adhemar #
Issue Date: May-2010
Publisher: North-Holland
Series Title: Applied Numerical Mathematics vol:60 issue:5 pages:527-530
Abstract: The Powell-Sabin (PS) piecewise quadratic C¹ finite element on the PS 12-split of a triangulation is a common choice for the construction of a BPX-type preconditioner for the biharmonic equation. In this note we investigate the related Powell-Sabin element on the PS 6-split instead of the PS 12-split for the construction of such preconditioners. For the PS 6-split element multilevel spaces can operation, and it alternates the orientation of the refined triangles. Therefore we expect a reduction of the amount of work when compared to the PS 12-split element BPX preconditioner, although both methods have the same asymptotical complexity. Numerical experiments confirm this statement.
ISSN: 0168-9274
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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