The Shape of Things: A Practical Guide to Differential Geometry and the Shape Derivative - Couverture souple

Walker, Shawn W.

 
9781611973952: The Shape of Things: A Practical Guide to Differential Geometry and the Shape Derivative
Couverture souple
ISBN 10 : 1611973953 ISBN 13 : 9781611973952
Editeur : Society for Industrial and Applied Mathematics, 2015

Synopsis

Many things have properties that depend on their shape, such as the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function with respect to a 'shape variable'. This approach, useful for understanding mathematical models containing geometric PDEs, allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute geometric sensitivities by developing basic calculus on surfaces alongside calculus of variations, aided by plenty of applications and illustrations. This book, a convenient reference for various shape derivative formulas, will be valuable to anyone interested in surface geometry and shape optimization. Graduate students can use it to quickly get acquainted with shape differentiation while scientists will find the book helpful for problems where surface geometry is critical or geometry evolves in time.

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À propos de l'auteur

Shawn Walker is an assistant professor of mathematics at Louisiana State University (LSU), with a joint appointment in the Center for Computation and Technology (CCT). He held a postdoctoral position at the Courant Institute (New York University) and joined the LSU faculty in 2010 in the computational mathematics group. He is a member of SIAM, AMS, MRS, and APS. His research interests include PDEs for fluids and moving/free boundaries, geometric evolution problems, numerical analysis and finite element methods, mesh generation, and optimal PDE control of shape.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Society for Industrial and Applied Mathematics
Date d'édition
2015
Langue
anglais
ISBN 10 
1611973953
ISBN 13 
9781611973952
Reliure
Broché
Nombre de pages
162
Coordonnées du fabricant
non disponible
Personne responsable
non disponible