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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Larson, Mats G. (Συγγραφέας), Bengzon, Fredrik (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Σειρά:Texts in Computational Science and Engineering, 10
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.