Mixed and Hybrid Finite Element Methods
Title | Mixed and Hybrid Finite Element Methods PDF eBook |
Author | Franco Brezzi |
Publisher | Springer Science & Business Media |
Pages | 361 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461231728 |
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.
Mixed Finite Element Methods and Applications
Title | Mixed Finite Element Methods and Applications PDF eBook |
Author | Daniele Boffi |
Publisher | Springer Science & Business Media |
Pages | 692 |
Release | 2013-07-02 |
Genre | Mathematics |
ISBN | 3642365191 |
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 approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.
Hybrid and Incompatible Finite Element Methods
Title | Hybrid and Incompatible Finite Element Methods PDF eBook |
Author | Theodore H.H. Pian |
Publisher | CRC Press |
Pages | 395 |
Release | 2005-11-04 |
Genre | Mathematics |
ISBN | 1135442215 |
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 hindered the widespread implementation of these methods. Today, however, recent advances--many directly attributable to these authors--have allowed the development of the stability theory and abstract mathematics to useful tools. Hybrid and Incompatible Finite Element Methods introduces these advances in the theory and applications of incompatible and multivariable finite element methods. After an overview of the variation formulation of finite element methods in solid mechanics, the authors discuss the fundamental theory and systematically demonstrate the theoretical foundations of incompatible elements and their application to different problems in the theory of elasticity. They also introduce new ideas in the development of hybrid finite elements, study the numerical stability of the hybrid and mixed element, and establish the theory of zero energy deformation modes. The final chapters, explore applications to fracture problems, present a bound analysis for fracture parameters, and demonstrate an implementation of a finite element analysis program.
Hybrid and Mixed Finite Element Methods
Title | Hybrid and Mixed Finite Element Methods PDF eBook |
Author | Satya N. Atluri |
Publisher | |
Pages | 598 |
Release | |
Genre | |
ISBN | 9780608154169 |
On Hybrid and Mixed Finite Element Methods
Title | On Hybrid and Mixed Finite Element Methods PDF eBook |
Author | Theodore H. H. Pian |
Publisher | |
Pages | 19 |
Release | 1981 |
Genre | |
ISBN |
Handbook of Numerical Analysis
Title | Handbook of Numerical Analysis PDF eBook |
Author | Philippe G. Ciarlet |
Publisher | Gulf Professional Publishing |
Pages | 502 |
Release | 1990 |
Genre | Mathematics |
ISBN | 9780444512475 |
Hybrid and Incompatible Finite Element Methods
Title | Hybrid and Incompatible Finite Element Methods PDF eBook |
Author | Theodore H.H. Pian |
Publisher | CRC Press |
Pages | 400 |
Release | 2005-11-04 |
Genre | Mathematics |
ISBN | 0203487699 |
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 hindered the widespread implementation of these methods.