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The Finite Element Method: Theory, Implementation, and Applications
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2013.
|
| Edición: | 1st ed. 2013. |
| Colección: | Texts in Computational Science and Engineering,
10 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-33287-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220203112047.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130125s2013 gw | s |||| 0|eng d | ||
| 020 | |a 9783642332876 |9 978-3-642-33287-6 | ||
| 024 | 7 | |a 10.1007/978-3-642-33287-6 |2 doi | |
| 050 | 4 | |a QA71-90 | |
| 072 | 7 | |a PBKS |2 bicssc | |
| 072 | 7 | |a COM014000 |2 bisacsh | |
| 072 | 7 | |a PBKS |2 thema | |
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| 100 | 1 | |a Larson, Mats G. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Finite Element Method: Theory, Implementation, and Applications |h [electronic resource] / |c by Mats G. Larson, Fredrik Bengzon. |
| 250 | |a 1st ed. 2013. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2013. | |
| 300 | |a XVII, 395 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Texts in Computational Science and Engineering, |x 2197-179X ; |v 10 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. . | ||
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 0 | |a Computer-aided engineering. | |
| 650 | 1 | 4 | |a Computational Science and Engineering. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Engineering Mechanics. |
| 650 | 2 | 4 | |a Computer-Aided Engineering (CAD, CAE) and Design. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 700 | 1 | |a Bengzon, Fredrik. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642332883 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642447112 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642332869 |
| 830 | 0 | |a Texts in Computational Science and Engineering, |x 2197-179X ; |v 10 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-33287-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||