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Field name	Details
Dewey Class	004
Title	The Finite Element Method: Theory, Implementation, and Applications ([Ebook]) / by Mats G. Larson, Fredrik Bengzon.
Author	Larson, Mats G.
Added Personal Name	Bengzon, Fredrik
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer
Publication	, 2013.
Physical Details	XVII, 385 pages : 84 illus., 5 illus. in color. : online resource.
Series	Texts in computational science and engineering 1611-0994 ; ; 10
ISBN	9783642332876
Summary Note	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. Â Â Â Â :
Contents note	1. Piecewise Polynomial Approximation in 1D -- 2. The Finite Element Method in 1D -- 3. Piecewise Polynomial Approximation in 2D -- 4. The Finite Element Method in 2D -- 5. Time-dependent Problems -- 6. Solving Large Sparse Linear Systems -- 7. Abstract Finite Element Analysis -- 8. The Finite Element -- 9. Non-linear Problems -- 10. Transport Problems -- 11. Solid Mechanics -- 12. Fluid Mechanics -- 13. Electromagnetics -- 14. Discontinuous Galerkin Methods -- A. Some Additional Matlab Code -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-33287-6
Links to Related Works	Subject References: Computational Mathematics and Numerical Analysis . Computational Science and Engineering . Computer aided design . Computer-Aided Engineering (CAD, CAE) and Design . Computer Science . Differential equations, Partial . Finite element method . Partial differential equations . Theoretical and Applied Mechanics . Authors: author . Bengzon, Fredrik . Larson, Mats G. . Corporate Authors: SpringerLink (Online service) . Series: Texts in computational science and engineering . Classification: 004 . 004 (DDC 23) .

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The Finite Element Method: Theory, Implementation, and Applications

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