The Mathematical Theory of Finite Element Methods

• Κύριοι συγγραφείς: Brenner, Susanne C. (Συγγραφέας), Scott, L. Ridgway (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2008.
• Σειρά: Texts in Applied Mathematics, 15
• Θέματα: Mathematics.; Functional analysis.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Computational intelligence.; Mechanics.; Mechanics, Applied.; Applications of Mathematics.; Computational Mathematics and Numerical Analysis.; Computational Intelligence.; Theoretical and Applied Mechanics.; Functional Analysis.

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penal...

Πίνακας περιεχομένων:

• Basic Concepts
• Sobolev Spaces
• Variational Formulation of Elliptic Boundary Value Problems
• The Construction of a Finite Element Space
• Polynomial Approximation Theory in Sobolev Spaces
• n-Dimensional Variational Problems
• Finite Element Multigrid Methods
• Additive Schwarz Preconditioners
• Max—norm Estimates
• Adaptive Meshes
• Variational Crimes
• Applications to Planar Elasticity
• Mixed Methods
• Iterative Techniques for Mixed Methods
• Applications of Operator-Interpolation Theory.