Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes
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...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Series: | Lecture Notes of the Unione Matematica Italiana,
22 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- 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.
