Mixed Finite Element Method

✍ Scribed by Prof. Apostol Poceski (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 1992
Tongue: English
Leaves: 356
Series: Lecture Notes in Engineering 72
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

In this book, based on 16 years of work on the finite element method, the author presents the essence of a new, direct approach to the FEM. The work is focused on the mixed method and shows how reliable results may be obtained with fewer equations than usual. The basic principles, the fundamentals and the essence of the FEM are presented, then the method is applied to the analysis of one, two, and three-dimensional problems. It is shown that mixed elements offer superior accuracy compared with stiffness elements. Finally, some new achievements and perspectives for further development are presented. The book is intended for undergraduate and graduate students, mathematicians, research engineers and practicing engineers. To understand the book, a familiarity with classical mechanics is sufficient.

✦ Table of Contents

Front Matter....Pages N2-VIII
Basic Principles....Pages 1-14
Fundamentals of the Finite Element Method....Pages 15-73
The Mixed Method in the Analysis of Beam Systems....Pages 74-123
Plate Bending Analysis....Pages 124-201
Two-Dimensional Problems....Pages 202-246
Shells....Pages 247-270
Three-Dimensional Elements....Pages 271-301
Further Development of the Finite Element Method....Pages 302-335
Back Matter....Pages 336-349

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering; Numerical Analysis

📜 SIMILAR VOLUMES

Mixed Finite Element Methods and Applica

📁 Mixed Finite Element Methods and Applications

✍ Daniele Boffi, Franco Brezzi, Michel Fortin (auth.) 📂 Library 📅 2013 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

<p><p>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 consi

Mixed and Hybrid Finite Element Methods

📁 Mixed and Hybrid Finite Element Methods

✍ Franco Brezzi, Michel Fortin (auth.), Franco Brezzi, Michel Fortin (eds.) 📂 Library 📅 1991 🏛 Springer-Verlag New York 🌐 English

<p>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 pr

Mixed Finite Element Methods and Applica

📁 Mixed Finite Element Methods and Applications

✍ Fortin, Michel;Boffi, Daniele;Brezzi, Franco 📂 Library 📅 2013 🏛 Springer 🌐 English

Preface -- Variational Formulations and Finite Element Methods -- Function Spaces and Finite Element Approximations -- Algebraic Aspects of Saddle Point Problems -- Saddle Point Problems in Hilbert spaces -- Approximation of Saddle Point Problems -- Complements: Stabilisation Methods, Eigenvalue Pro

Mixed and Hybrid Finite Element Methods

📁 Mixed and Hybrid Finite Element Methods

✍ Franco Brezzi, Michel Fortin 📂 Library 📅 1991 🏛 Springer 🌐 English

Mixed and Hybrid Finite Element Methods

📁 Mixed and Hybrid Finite Element Methods

✍ Franco Brezzi, Michel Fortin 📂 Library 📅 1991'', 🏛 Springer 🌐 English

This book presents research on non-standard finite element methods. A general framework in which the development is taking place is given. The presentation is built around a few classic examples: Dirichlet's problem, Stokes problem and linear elasticity. Various examples are included.

Finite element methods

📁 Finite element methods

✍ Nguyen D.T. 📂 Library 📅 2006 🏛 Springer 🌐 English

Finite element methods (FEM), and its associated computer software have been widely accepted as one of the most effective general tools for solving large-scale, practical engineering and science applications. For implicit finite element codes, it is a well-known fact that efficient equation and eig