Mixed and Hybrid Finite Element Methods
โ Scribed by Franco Brezzi, Michel Fortin (auth.), Franco Brezzi, Michel Fortin (eds.)
- Publisher
- Springer-Verlag New York
- Year
- 1991
- Tongue
- English
- Leaves
- 360
- Series
- Springer Series in Computational Mathematics 15
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Research on non-standard finite element methods is evolving rapidly and in this text Brezzi and Fortin give a general framework in which the development is taking place. The presentation is built around a few classic examples: Dirichlet's problem, Stokes problem, Linear elasticity. The authors provide with this publication an analysis of the methods in order to understand their properties as thoroughly as possible.
โฆ Table of Contents
Front Matter....Pages i-ix
Variational Formulations and Finite Element Methods....Pages 1-35
Approximation of Saddle Point Problems....Pages 36-88
Function Spaces and Finite Element Approximations....Pages 89-132
Various Examples....Pages 133-176
Complements on Mixed Methods for Elliptic Problems....Pages 177-199
Incompressible Materials and Flow Problems....Pages 200-273
Other Applications....Pages 274-323
Back Matter....Pages 324-352
โฆ Subjects
Numerical Analysis
๐ SIMILAR VOLUMES
This book presents research on non-standard finite element methods. A general framework in which the development is taking place is given. The presentation is built around a few classic examples: Dirichlet's problem, Stokes problem and linear elasticity. Various examples are included.
<p><p>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 consi
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 Pro
<p>In this book, based on 16 years of work on the finite element method, the author presents the essence of a new, direct approach to the FEM. The work is focused on the mixed method and shows how reliable results may be obtained with fewer equations than usual. The basic principles, the fundamental
While the theory and application of finite elements methods can be extended to incompatible, hybrid, and mixed element methods, important issues, such as determining the reliability of the solution of incompatible multivariable elements, along with a common perception of impracticality, have hindere