Introduction to Numerical Methods for Variational Problems

• Κύριοι συγγραφείς: Langtangen, Hans Petter (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Mardal, Kent-Andre (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Texts in Computational Science and Engineering, 21
• Θέματα: Computer mathematics.; Computational Mathematics and Numerical Analysis.

This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite elemen...

Πίνακας περιεχομένων:

• Preface
• Quick overview of the finite element method
• Function approximation by global functions
• Function approximation by finite elements
• Variational formulations with global elements
• Variational formulations with finite elements
• Time-dependent variational forms
• Variational forms for systems of PDEs
• Nonlinear Problems
• Variational forms for linear systems
• Useful formulas.