A Simple Introduction to the Mixed Finite Element Method

A Simple Introduction to the Mixed Finite Element Method PDF

Author: Gabriel N. Gatica

Publisher: Springer Science & Business Media

Published: 2014-01-09

Total Pages: 142

ISBN-13: 3319036955

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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.

Numerical Solution of Partial Differential Equations by the Finite Element Method

Numerical Solution of Partial Differential Equations by the Finite Element Method PDF

Author: Claes Johnson

Publisher: Courier Corporation

Published: 2012-05-23

Total Pages: 290

ISBN-13: 0486131599

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An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.

Mixed Finite Element Method

Mixed Finite Element Method PDF

Author: Apostol Poceski

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 357

ISBN-13: 3642846769

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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.

An Introduction to the Mathematical Theory of Finite Elements

An Introduction to the Mathematical Theory of Finite Elements PDF

Author: J. T. Oden

Publisher: Courier Corporation

Published: 2011-04-20

Total Pages: 450

ISBN-13: 0486462994

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This introduction to the basic mathematical theory of the finite element method is geared toward readers with limited mathematical backgrounds. Its coherent demonstrations explain the use of these techniques in developing the theory of finite elements, with detailed proofs of the major theorems and numerous examples. 1976 edition.

The Finite Element Method: Its Basis and Fundamentals

The Finite Element Method: Its Basis and Fundamentals PDF

Author: Olek C Zienkiewicz

Publisher: Elsevier

Published: 2005-05-26

Total Pages: 753

ISBN-13: 008047277X

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The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text

The Introduction to the Finite Element Method

The Introduction to the Finite Element Method PDF

Author: Wahyu Kuntjoro

Publisher:

Published: 2005

Total Pages: 248

ISBN-13: 9780071241441

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An Introduction to the Finite Element Method is organized and written in such a way that students should not find it difficult to understand the concepts and applications discussed in the book. Rigorous mathematical treatments and derivations are kept to a minimum. A consistent approach of finite element formulation and solution is used for every domain analysis described in the book. Plenty of simple examples are given to show students how to solve related problems. The exercises at the end of some chapters are within students' capability and can be done without using a computer. Although this book is intended primarily for undergraduate students, it is also suitable for the early part of finite element courses in postgraduate programme. The basic and conceptual approaches which are used also make this book appropriate for practising engineers who want to know and learn the finite element method.

Mixed Finite Element Technologies

Mixed Finite Element Technologies PDF

Author: Peter Wriggers

Publisher: Springer Science & Business Media

Published: 2009-06-16

Total Pages: 211

ISBN-13: 3211990941

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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.

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