论文信息 - On the Lp-stability of quasi-hierarchical Powell-Sabin B-splines

On the Lp-stability of quasi-hierarchical Powell-Sabin B-splines

Quasi-hierarchical Powell-Sabin splines are C-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 quasi-hierarchical basis is in general weakly Lpstable, but for a broad class of hierarchical triangulations it is even strongly Lp-stable.

Hendrik Speleers | Stefan Vandewalle | Paul Dierckx

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