The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering, 10)

Book 10 of 29: Texts in Computational Science and Engineering

Larson, Mats G.; Bengzon, Fredrik

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9783642332869: The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering, 10)
ISBN 10: 3642332862 ISBN 13: 9783642332869
Publisher: Springer, 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.​    

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

From the Back Cover

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 tocover 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.​    

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

Publisher
Springer
Publication date
2013
Language
English
ISBN 10 
3642332862
ISBN 13 
9783642332869
Number of pages
412
Rating
  • 3.80 out of 5 stars
    5 ratings by Goodreads

Other Popular Editions of the Same Title

9783642447112: The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering, 10)

Featured Edition

ISBN 10:  3642447112 ISBN 13:  9783642447112
Publisher: Springer, 2015
Softcover