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TW 492
Hendrik Speleers, Paul Dierckx, Stefan Vandewalle
On the Lp-stability of quasi-hierarchical Powell-Sabin B-splines
Abstract
Quasi-hierarchical Powell-Sabin (QHPS) splines are C1-continuous quadratic splines defined on a locally refined hierarchical triangulation. They admit a compact representation in a normalized B-spline basis. We prove that the QHPS basis is in general weakly Lp-stable, but for a broad class of hierarchical triangulations it is even strongly Lp-stable.
report.pdf (317K) / mailto: H. Speleers