Mixed Finite Elements, Compatibility Conditions, and Applications
Title | Mixed Finite Elements, Compatibility Conditions, and Applications PDF eBook |
Author | Daniele Boffi |
Publisher | Springer Science & Business Media |
Pages | 253 |
Release | 2008-04-14 |
Genre | Mathematics |
ISBN | 3540783148 |
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.
Mixed Finite Elements, Compatibility Conditions, and Applications
Title | Mixed Finite Elements, Compatibility Conditions, and Applications PDF eBook |
Author | Daniele Boffi |
Publisher | Springer |
Pages | 244 |
Release | 2009-09-03 |
Genre | Mathematics |
ISBN | 9783540847632 |
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.
Mixed Finite Elements, Compatibility Conditions, and Applications
Title | Mixed Finite Elements, Compatibility Conditions, and Applications PDF eBook |
Author | Franco Brezzi |
Publisher | |
Pages | 235 |
Release | 2008 |
Genre | Differential equations, Partial |
ISBN |
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.
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.
A Simple Introduction to the Mixed Finite Element Method
Title | A Simple Introduction to the Mixed Finite Element Method PDF eBook |
Author | Gabriel N. Gatica |
Publisher | Springer Science & Business Media |
Pages | 142 |
Release | 2014-01-09 |
Genre | Mathematics |
ISBN | 3319036955 |
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.
Finite Element Methods and Their Applications
Title | Finite Element Methods and Their Applications PDF eBook |
Author | Zhangxin Chen |
Publisher | Springer Science & Business Media |
Pages | 415 |
Release | 2005-06-23 |
Genre | Science |
ISBN | 3540240780 |
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.
Mixed Finite Element Technologies
Title | Mixed Finite Element Technologies PDF eBook |
Author | Peter Wriggers |
Publisher | Springer Science & Business Media |
Pages | 211 |
Release | 2009-06-16 |
Genre | Technology & Engineering |
ISBN | 3211990941 |
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.