Author: Franco Brezzi
Publisher: Springer Science & Business Media
ISBN: 1461231728
Category : Mathematics
Languages : en
Pages : 361
Get Book Here
Book Description
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.
Author: Daniele Boffi
Publisher: Springer Science & Business Media
ISBN: 3642365191
Category : Mathematics
Languages : en
Pages : 692
Get Book Here
Book Description
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.
Author: Satya N. Atluri
Publisher:
ISBN: 9780608154169
Category :
Languages : en
Pages : 598
Get Book Here
Book Description
Author: Theodore H.H. Pian
Publisher: CRC Press
ISBN: 1135442215
Category : Mathematics
Languages : en
Pages : 395
Get Book Here
Book Description
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.
Author: Theodore H. H. Pian
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
Get Book Here
Book Description
Author: Theodore H.H. Pian
Publisher: CRC Press
ISBN: 0203487699
Category : Mathematics
Languages : en
Pages : 400
Get Book Here
Book Description
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.
Author:
Publisher:
ISBN: 9789996213854
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Daniele Boffi
Publisher: Springer
ISBN: 3540783199
Category : Mathematics
Languages : en
Pages : 254
Get Book Here
Book Description
Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.
Author: Philippe G. Ciarlet
Publisher: Gulf Professional Publishing
ISBN: 9780444512475
Category : Mathematics
Languages : en
Pages : 502
Get Book Here
Book Description
Author: I. Galligani
Publisher: Springer
ISBN: 3540371583
Category : Mathematics
Languages : en
Pages : 371
Get Book Here
Book Description
