Mixed Finite Element Methods and Applications

• Main Authors: Boffi, Daniele (Author), Brezzi, Franco (Author), Fortin, Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Springer Series in Computational Mathematics, 44
• Subjects: Mathematics.; Computer mathematics.; Mechanics.; Mechanics, Applied.; Computational Mathematics and Numerical Analysis.; Computational Science and Engineering.; Theoretical and Applied Mechanics.

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering...

Table of Contents:

• Preface
• Variational Formulations and Finite Element Methods
• Function Spaces and Finite Element Approximations
• Algebraic Aspects of Saddle Point Problems
• Saddle Point Problems in Hilbert spaces
• Approximation of Saddle Point Problems
• Complements: Stabilisation Methods, Eigenvalue Problems
• Mixed Methods for Elliptic Problems
• Incompressible Materials and Flow Problems
• Complements on Elasticity Problems
• Complements on Plate Problems
• Mixed Finite Elements for Electromagnetic Problems
• Index.        .