Screen LibrarySmooth B zier 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...
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| Main Authors: | |
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| Published: |
Springer International Publishing : Imprint: Springer,
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| Publisher Address: | Cham : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Lecture Notes of the Unione Matematica Italiana,
22 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-3-319-63841-6 |
| Summary: |
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 easily apply to the rich variety of complex shapes that engineers have to design and analyse. Therefore new developments have studied the extension of IgA to unstructured unions of meshes, similar to those one can find in FEM. The following problem arises: given an unstructured planar quadrilatera |
| Carrier Form: | 1 online resource (XX, 192 pages): illustrations. |
| ISBN: | 9783319638416 |
| Index Number: | QA71 |
| CLC: | O241 |
| 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. |