Name: Smooth Bézier Surfaces Over Unstructured Quadrilateral Meshes (Lecture Notes of the Unione Matematica Italiana) (en Inglés)
Price: 102970.00 CLP
Availability: InStock
Author: Michel Bercovier; Tanya Matskewich
ISBN: 9783319638409

portada Smooth Bézier Surfaces Over Unstructured Quadrilateral Meshes (Lecture Notes of the Unione Matematica Italiana) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Michel Bercovier; Tanya Matskewich

Año

2017

Idioma

Inglés

N° páginas

192

Encuadernación

Tapa Blanda

ISBN13

9783319638409

N° edición

Categorías

Fundamentos matemáticos

Smooth Bézier Surfaces Over Unstructured Quadrilateral Meshes (Lecture Notes of the Unione Matematica Italiana) (en Inglés)

Michel Bercovier; Tanya Matskewich (Autor) · Springer · Tapa Blanda

Libro Físico

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$ 171.610

Ahorras: $ 68.640

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Reseña del libro "Smooth Bézier Surfaces Over Unstructured Quadrilateral Meshes (Lecture Notes of the Unione Matematica Italiana) (en Inglés)"

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.