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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Larson, Mats G. (Autor), Bengzon, Fredrik (Autor)
Autor Corporativo: SpringerLink (Online service)
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:
Mathematics-Data processing.
Differential equations.
Mechanics, Applied.
Computer-aided engineering.
Computational Science and Engineering.
Differential Equations.
Engineering Mechanics.
Computer-Aided Engineering (CAD, CAE) and Design.
Computational Mathematics and Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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