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Polyhedral control-net splines for analysis.
Polyhedral control-net splines for analysis.
- Source :
-
Computers & Mathematics with Applications . Dec2023, Vol. 151, p215-221. 7p. - Publication Year :
- 2023
-
Abstract
- Generalizing tensor-product splines to smooth functions whose control nets can outline more general topological polyhedra, bi-cubic polyhedral-net splines form a first-order differentiable piecewise polynomial space. Each polyhedral control net node is associated with one bi-cubic function. A polyhedral control net admits grid-, star-, n -gon-, polar- and three types of T-junction configurations. Analogous to tensor-product splines, polyhedral-net splines can both model curved geometry and represent higher-order functions on the geometry. This paper explores the use of polyhedral-net splines for solving elliptic partial differential equations on curved smooth free-form surfaces without additional meshing. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ELLIPTIC differential equations
*POLYHEDRAL functions
*SPLINES
*PETRI nets
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 151
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 173608359
- Full Text :
- https://doi.org/10.1016/j.camwa.2023.09.041