The Finite Element Method: Theory, Implementation, and Applications - Couverture rigide

Livre 10 sur 29: Texts in Computational Science and Engineering

Larson, Mats G.; Bengzon, Fredrik

 
9783642332869: The Finite Element Method: Theory, Implementation, and Applications
Couverture rigide
ISBN 10 : 3642332862 ISBN 13 : 9783642332869
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2013

Synopsis

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.

Revue de presse

From the reviews:

The authors give an introduction to the finite element method as a general computational method for solving partial differential equations (PDEs) approximately. ... The book should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. --(R zvan R ducanu, Zentralblatt MATH, Vol. 1263, 2013)

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

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
2013
Langue
anglais
ISBN 10 
3642332862
ISBN 13 
9783642332869
Reliure
Relié
Nombre de pages
412
Coordonnées du fabricant
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Allemagne

Autres éditions populaires du même titre

9783642447112: The Finite Element Method: Theory, Implementation, and Applications

Edition présentée

ISBN 10 :  3642447112 ISBN 13 :  9783642447112
Editeur : Springer, 2015
Couverture souple