Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes (Lecture Notes of the Unione Matematica Italiana, 22) - Softcover

Bercovier, Michel; Matskewich, Tanya

 
9783319638409: Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes (Lecture Notes of the Unione Matematica Italiana, 22)
Softcover
ISBN 10: 3319638408 ISBN 13: 9783319638409
Publisher: Springer, 2017

Synopsis

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


"synopsis" may belong to another edition of this title.

From the Back Cover

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 thisdirection are also mentioned here.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2017
Language
English
ISBN 10 
3319638408
ISBN 13 
9783319638409
Binding
Paperback
Edition number
1
Number of pages
212