Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes

• Κύριοι συγγραφείς: Bercovier, Michel (Συγγραφέας), Matskewich, Tanya (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Lecture Notes of the Unione Matematica Italiana, 22
• Θέματα: Mathematics.; Computer mathematics.; Geometry.; Computational Mathematics and Numerical Analysis.

Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM). The recent explosion of IgA, strongly tying Computer Aided Geometry Design to Analysis, does not...

Πίνακας περιεχομένων:

• Introduction
• G1-smooth Surfaces.- C1 smooth surfaces
• MDSs: quadrilateral meshes
• Global MDSs
• MDSs for a smooth boundary
• Computational examples
• Conclusions
• Two-patch geometry and the G1 construction
• Illustrations for the thin plate problem
• Mixed MDSs of degrees 4 and 5
• Technical lemmas
• Minimisation problems
• G1 is equivalent to C1
• Bibliography
• References.