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Author | : Daniele Boffi |
Publisher | : Springer Science & Business Media |
Total Pages | : 253 |
Release | : 2008-04-14 |
Genre | : Mathematics |
ISBN | : 3540783148 |
Download Mixed Finite Elements, Compatibility Conditions, and Applications Book in PDF, ePub and Kindle
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 | : Daniele Boffi |
Publisher | : Springer |
Total Pages | : 244 |
Release | : 2009-09-03 |
Genre | : Mathematics |
ISBN | : 9783540847632 |
Download Mixed Finite Elements, Compatibility Conditions, and Applications Book in PDF, ePub and Kindle
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 | : Franco Brezzi |
Publisher | : |
Total Pages | : 235 |
Release | : 2008 |
Genre | : Differential equations, Partial |
ISBN | : |
Download Mixed Finite Elements, Compatibility Conditions, and Applications Book in PDF, ePub and Kindle
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 | : Daniele Boffi |
Publisher | : Springer Science & Business Media |
Total Pages | : 692 |
Release | : 2013-07-02 |
Genre | : Mathematics |
ISBN | : 3642365191 |
Download Mixed Finite Element Methods and Applications Book in PDF, ePub and Kindle
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 | : Gabriel N. Gatica |
Publisher | : Springer Science & Business Media |
Total Pages | : 142 |
Release | : 2014-01-09 |
Genre | : Mathematics |
ISBN | : 3319036955 |
Download A Simple Introduction to the Mixed Finite Element Method Book in PDF, ePub and Kindle
The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, during the last 7 years. As compared with several other classical books in the subject, the main features of the present one have to do, on one hand, with an attempt of presenting and explaining most of the details in the proofs and in the different applications. In particular several results and aspects of the corresponding analysis that are usually available only in papers or proceedings are included here.
Author | : Zhangxin Chen |
Publisher | : Springer Science & Business Media |
Total Pages | : 415 |
Release | : 2005-06-23 |
Genre | : Science |
ISBN | : 3540240780 |
Download Finite Element Methods and Their Applications Book in PDF, ePub and Kindle
Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.
Author | : Peter Wriggers |
Publisher | : Springer Science & Business Media |
Total Pages | : 211 |
Release | : 2009-06-16 |
Genre | : Technology & Engineering |
ISBN | : 3211990941 |
Download Mixed Finite Element Technologies Book in PDF, ePub and Kindle
Mixed finite element methods are a tool to solve complex engineering problems of different nature. This subject is treated in the volume from the engineering and the mathematical point. Different applications are considered which depict the value of mixed formulations in engineering on one side. On the other side the mathematical background is provided including proofs of convergence and stability of these methods and adequate solvers for mixed problems are discussed. This broad spectrum yields an indepth treatment of mixed methods from different perspectives.
Author | : Theodore H.H. Pian |
Publisher | : CRC Press |
Total Pages | : 395 |
Release | : 2005-11-04 |
Genre | : Mathematics |
ISBN | : 1135442215 |
Download Hybrid and Incompatible Finite Element Methods Book in PDF, ePub and Kindle
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 | : George J. Fix |
Publisher | : |
Total Pages | : 66 |
Release | : 1978 |
Genre | : |
ISBN | : |
Download Theory and applications of mixed finite element methods Book in PDF, ePub and Kindle
Author | : Gunilla Kreiss |
Publisher | : Springer Science & Business Media |
Total Pages | : 900 |
Release | : 2010-10-19 |
Genre | : Mathematics |
ISBN | : 3642117953 |
Download Numerical Mathematics and Advanced Applications 2009 Book in PDF, ePub and Kindle
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