1 edition of **Mixed Finite Element Methods and Applications** found in the catalog.

- 180 Want to read
- 14 Currently reading

Published
**2013**
.

Written in English

- Computational Mathematics and Numerical Analysis,
- Theoretical and Applied Mechanics,
- Applied Mechanics,
- Mathematics,
- Computational Science and Engineering,
- Computer science

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.

**Edition Notes**

Statement | by Daniele Boffi, Franco Brezzi, Michel Fortin |

Series | Springer Series in Computational Mathematics -- 44 |

Contributions | Brezzi, Franco, Fortin, Michel, SpringerLink (Online service) |

Classifications | |
---|---|

LC Classifications | QA71-90 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | XIV, 685 p. 67 illus. |

Number of Pages | 685 |

ID Numbers | |

Open Library | OL27075210M |

ISBN 10 | 9783642365195 |

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 : Daniele Boffi; Franco Brezzi; Michel Fortin. The extended finite element method (XFEM) is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM). It extends the classical finite element method by enriching the solution space for solutions .

This chapter serves two purposes: (1) to clarify the role and importance of finite element analysis (FEA) in modern engineering practice and (2) to introduce the organization of the book. The roles of FEA are discussed from the perspectives of problem-solving processes, decomposition of analysis complexity, and computer aided engineering. In this chapter we utilize the Raviart–Thomas spaces to present and analyze specific mixed finite element methods applied to some of the examples studied in Chap. 2. The corresponding discussion follows mainly the presentations in [12, 39, 50, 52].Author: Gabriel N. Gatica.

Mats G. Larson, Fredrik Bengzon The Finite Element Method: Theory, Implementation, and Practice November 9, SpringerFile Size: 2MB. The second one consisted in showing some examples of possible applications of the method. We are conﬁdentthis bookwill serve as a basic referencefor p eoplewilling to ex-plore the ﬁeld of mixed ﬁnite elements. This lecture notes co ver the theory of mixed ﬁnite elements and applications to Stokes problem, elastic ity, and electromagnetism.

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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.5/5(1).

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.

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 by: 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.

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.

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. 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.

springer, 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.

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. The book and its intention differ very much from the books on finite elements. The reader finds here more variants of finite element spaces and applications that have not been described in textbooks on finite elements and in particular not with so many details." (Dietrich Braess, Zentralblatt MATH, Vol.

Brand: Springer-Verlag Berlin Heidelberg. This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.

Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily by: 7. Chapter 9 Mixed Finite Element Methods Ferdinando Auricchio, Franco Brezzi and Carlo Lovadina Universit`a di Pavia and IMATI-C.N.R, Pavia, Italy 1 Introduction 2 Formulations 3 Stability of Saddle-Points in Finite Dimensions 4 Applications 5 Techniques for Proving the Inf–Sup Condition 6 Related Chapters References Hybrid and Incompatible Finite Element Methods by Theodore H.

Pian, Chang-Chun Wu (Modern Mechanics and Mathematics: Chapman & Hall/CRC) While the theory and application of finite element 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 Cited by: Here is a framework for mixed finite element methods, moving from a finite dimensional presentation, then on to formulation in Hilbert spaces and approximations, stabilized methods and eigenvalue Offers examples: Stokes' problem, elasticity and more.

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 : Springer-Verlag Berlin Heidelberg.

Part of the Lecture Notes in Mathematics book series (LNM, volume ) The mathematical analysis and applications of mixed finite element methods have been widely developed since the seventies.

A general analysis for this kind of methods was first developed by by: 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.

Yang D () Iterative schemes for mixed finite element methods with applications to elasticity and compressible flow problems, Numerische Mathematik,(.

Download Finite Element Method (Analysis) Books – We have compiled a list of Best & Standard Reference Books on Finite Element Method (Analysis) books are used by students of top universities, institutes and colleges.

The finite element method (FEM) is a numerical method for solving problems of engineering and mathematical physics. The mathematical analysis and applications of mixed finite element methods have been widely developed since the seventies.

A general analysis for this kind of methods. some of the fundamental ideas for the analysis of mixed methods. We also refer the reader to [16][17], where general results were obtained, and to the books [6][18][19]. Many mixed finite element methods have been developed for plane elasticity, and generally speaking.is a platform for academics to share research papers.

A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as solid mechanics.