Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes: 22 - Brossura

Bercovier, Michel; Matskewich, Tanya

Brossura

ISBN 10: 3319638408 ISBN 13: 9783319638409

Casa editrice: Springer, 2017

Riassunto

With a foreword by T.J.R. Hughes 

Represents a step forward in Isogeometric Analysis and its applications

Provides a bridge between Finite Element Methods and Isogeometric Analysis

Su questo libro

Dalla quarta di copertina

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 quadrilateral mesh, construct a C¹-surface, by piecewise Bézier or B-Spline patches defined over this mesh. This problem is solved for C¹-surfaces defined over plane bilinear Bézier patches, the corresponding results for B-Splines then being simple consequences. The method can be extended to higher-order quadrilaterals and even to three dimensions, and the most recent developments in this direction are also mentioned here.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 3319638408
• ISBN 13: 9783319638409
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 212
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania