Application of the Finite Element Method to Initial Value Problems. Pt. 1. Basic Theory
Author : N. Praagman
Publisher :
Page : pages
File Size : 18,50 MB
Release : 1975
Category :
ISBN :
The Finite Element Method for Initial Value Problems
Author : Karan S. Surana
Publisher : CRC Press
Page : 630 pages
File Size : 33,13 MB
Release : 2017-10-17
Category : Science
ISBN : 1351269992
Book Description
Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and space-time calculus of variations are used to establish unconditional stability of space-time methods during the evolution. Space-time decoupled methods are also presented with the same rigor. Stability of space-time decoupled methods, time integration of ODEs including the finite element method in time are presented in detail with applications. Modal basis, normal mode synthesis techniques, error estimation, and a posteriori error computations for space-time coupled as well as space-time decoupled methods are presented. This book is aimed at a second-semester graduate level course in FEM.
Application of the Finite Element Method to Initial Value Problems. Pt. 2. Results
Author : N. Praagman
Publisher :
Page : pages
File Size : 32,80 MB
Release : 1975
Category :
ISBN :
Book Description
Application of the Finite Element Method to Initial Value Problems
Author : N Praagman
Publisher :
Page : 108 pages
File Size : 46,19 MB
Release : 1974
Category : Finite element method
ISBN :
Book Description
The Finite Element Method for Initial Value Problems
Author : Karan S. Surana
Publisher :
Page : pages
File Size : 27,81 MB
Release : 2018
Category : MATHEMATICS
ISBN : 9781351269971
Book Description
Finite Element Methods
Author : Jonathan Whiteley
Publisher : Springer
Page : 236 pages
File Size : 48,40 MB
Release : 2017-01-26
Category : Science
ISBN : 3319499718
Book Description
This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.
Finite Element Solution of Boundary Value Problems
Author : O. Axelsson
Publisher : Academic Press
Page : 453 pages
File Size : 46,76 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483260569
Book Description
Finite Element Solution of Boundary Value Problems: Theory and Computation provides an introduction to both the theoretical and computational aspects of the finite element method for solving boundary value problems for partial differential equations. This book is composed of seven chapters and begins with surveys of the two kinds of preconditioning techniques, one based on the symmetric successive overrelaxation iterative method for solving a system of equations and a form of incomplete factorization. The subsequent chapters deal with the concepts from functional analysis of boundary value problems. These topics are followed by discussions of the Ritz method, which minimizes the quadratic functional associated with a given boundary value problem over some finite-dimensional subspace of the original space of functions. Other chapters are devoted to direct methods, including Gaussian elimination and related methods, for solving a system of linear algebraic equations. The final chapter continues the analysis of preconditioned conjugate gradient methods, concentrating on applications to finite element problems. This chapter also looks into the techniques for reducing rounding errors in the iterative solution of finite element equations. This book will be of value to advanced undergraduates and graduates in the areas of numerical analysis, mathematics, and computer science, as well as for theoretically inclined workers in engineering and the physical sciences.
The Finite Element Method: Solid mechanics
Author : O. C. Zienkiewicz
Publisher : Butterworth-Heinemann
Page : 482 pages
File Size : 27,43 MB
Release : 2000
Category : Continuum mechanics
ISBN : 9780750650557
Book Description
Finite Element Methods for Engineering Sciences
Author : Joel Chaskalovic
Publisher : Springer Science & Business Media
Page : 261 pages
File Size : 33,87 MB
Release : 2008-09-16
Category : Technology & Engineering
ISBN : 3540763430
Book Description
This self-tutorial offers a concise yet thorough grounding in the mathematics necessary for successfully applying FEMs to practical problems in science and engineering. The unique approach first summarizes and outlines the finite-element mathematics in general and then, in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverse exercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite-element methods instead of passively absorbing the material, as in most standard textbooks. The enlarged English-language edition, based on the original French, also contains a chapter on the approximation steps derived from the description of nature with differential equations and then applied to the specific model to be used. Furthermore, an introduction to tensor calculus using distribution theory offers further insight for readers with different mathematical backgrounds.
The Finite Element Method
Author : Darrell W. Pepper
Publisher : Taylor & Francis
Page : 326 pages
File Size : 11,26 MB
Release : 2005-10-31
Category : Technology & Engineering
ISBN : 0203942353
Book Description
This much-anticipated second edition introduces the fundamentals of the finite element method featuring clear-cut examples and an applications-oriented approach. Using the transport equation for heat transfer as the foundation for the governing equations, this new edition demonstrates the versatility of the method for a wide range of applications, including structural analysis and fluid flow. Much attention is given to the development of the discrete set of algebraic equations, beginning with simple one-dimensional problems that can be solved by inspection, continuing to two- and three-dimensional elements, and ending with three chapters describing applications. The increased number of example problems per chapter helps build an understanding of the method to define and organize required initial and boundary condition data for specific problems. In addition to exercises that can be worked out manually, this new edition refers to user-friendly computer codes for solving one-, two-, and three-dimensional problems. Among the first FEM textbooks to include finite element software, the book contains a website with access to an even more comprehensive list of finite element software written in FEMLAB, MAPLE, MathCad, MATLAB, FORTRAN, C++, and JAVA - the most popular programming languages. This textbook is valuable for senior level undergraduates in mechanical, aeronautical, electrical, chemical, and civil engineering. Useful for short courses and home-study learning, the book can also serve as an introduction for first-year graduate students new to finite element coursework and as a refresher for industry professionals. The book is a perfect lead-in to Intermediate Finite Element Method: Fluid Flow and Heat and Transfer Applications (Taylor & Francis, 1999, Hb 1560323094).
