Macro-elements and stable local bases for splines on Powell-Sabin triangulations
نویسندگان
چکیده
منابع مشابه
Macro-elements and stable local bases for splines on Powell-Sabin triangulations
Macro-elements of arbitrary smoothness are constructed on Powell-Sabin triangle splits. These elements are useful for solving boundaryvalue problems and for interpolation of Hermite data. It is shown that they are optimal with respect to spline degree, and we believe they are also optimal with respect to the number of degrees of freedom. The construction provides local bases for certain supersp...
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We present an algorithm for local subdivision of Powell-Sabin spline surfaces. The construction of such a spline is based on a particular PS-refinement of a given triangulation. We build the new triangulation on top of this PS-refinement by applying a √ 3-subdivision scheme on a local part of the domain. To avoid degeneration we introduce a simple heuristic for refinement propagation, driven by...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2001
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-01-01379-5