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

Buch 10 von 29: Texts in Computational Science and Engineering

Larson, Mats G.; Bengzon, Fredrik

 
9783642332869: The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering, 10, Band 10)
Hardcover
ISBN 10: 3642332862 ISBN 13: 9783642332869
Verlag: Springer, 2013

Inhaltsangabe

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.​    

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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.​    

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
3642332862
ISBN 13 
9783642332869
Einband
Gebundene Ausgabe
Anzahl der Seiten
412
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9783642447112: The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering, Band 10)

Vorgestellte Ausgabe

ISBN 10:  3642447112 ISBN 13:  9783642447112
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Softcover