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Author : Gwo-Tar Chang
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (99 download)
Download or read book Accuracy and Convergence of Finite Element Approximations written by Gwo-Tar Chang and published by . This book was released on 1983 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (227 download)
Download or read book Accuracy and Convergence of Finite Element Approximations written by and published by . This book was released on 1968 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper reports on a theoretical investigation of the convergence properties of several finite element approximations in current use and assesses the magnitude of the principal errors resulting from their use for certain classes of structural problems. The method is based on classical order of error analyses commonly used to evaluate finite difference methods. Through the use of the Taylor series differential or partial differential equations are found which represent the convergence and principal error characteristics of the finite element equations. These resulting equations are then compared with known equations governing the continuum, and the error terms are evaluated for selected problems. Finite elements for bar, beam, plane stress, and plate bending problems are studied as well as the use of Straight or curved elements to approximate curved beams. The results of the study provide basic information on the effect of interelement compatibility, unequal size elements, discrepancies in triangular element approximations, flat element approximations to curved structures, and the number of elements required for a desired degree of accuracy.
Author : Langley Research Center
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (31 download)
Download or read book Accuracy of Finite Element Approximations to Structural Problems written by Langley Research Center and published by . This book was released on 1970 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : 林群
Publisher : Elsevier
ISBN 13 : 9787030166562
Total Pages : 342 pages
Book Rating : 4.1/5 (665 download)
Download or read book Finite Element Methods written by 林群 and published by Elsevier. This book was released on 2007-11-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed by Elsevier Science on behalf of Science Press. This book discusses the accuracy of various finite element approximations and how to improve them, with the help of extrapolations and super convergence's post-processing technique. The discussion is based on asymptotic expansions for finite elements and finally reduces to the technique of integration by parts, embedding theorems and norm equivalence lemmas. The book is also devoted to explaining the origin of theorems. Masterly exposition of the accuracy and improvement of finite element methods, highlighting the postprocessing Emphasis on understanding of higher knowledge Accessible to students, engaging for experts and professionals Written by leading Chinese mathematicians, available internationally for the first time
Author : O. C. Zienkiewicz
Publisher : Elsevier
ISBN 13 : 0080531679
Total Pages : 1863 pages
Book Rating : 4.0/5 (85 download)
Download or read book The Finite Element Method Set written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-11-25 with total page 1863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference
Author : J. T. Oden
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (227 download)
Download or read book Convergence, Accuracy, and Stability of Finite-Element Approximations of a Class of Nonlinear Hyperbolic Equations written by J. T. Oden and published by . This book was released on 1972 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical stability criteria and rates of convergence are derived for finite-element approximations of the nonlinear wave equation (u sub tt) - F (u sub x) = f(x, t), where F (u sub x) possesses properties generally encountered in nonlinear elasticity. Piecewise linear finite-element approximations in x and central difference approximations in t are studied. (Author).
Author : Michel Krizek
Publisher : Routledge
ISBN 13 : 1351448617
Total Pages : 368 pages
Book Rating : 4.3/5 (514 download)
Download or read book Finite Element Methods written by Michel Krizek and published by Routledge. This book was released on 2017-11-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Author : L. C. Wellford
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (254 download)
Download or read book Accuracy and Convergence of Finite-element written by L. C. Wellford and published by . This book was released on 1973 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : O. C. Zienkiewicz
Publisher : Courier Corporation
ISBN 13 : 048631801X
Total Pages : 356 pages
Book Rating : 4.4/5 (863 download)
Download or read book Finite Elements and Approximation written by O. C. Zienkiewicz and published by Courier Corporation. This book was released on 2013-04-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. Starting with continuum boundary value problems and the need for numerical discretization, the text examines finite difference methods, weighted residual methods in the context of continuous trial functions, and piecewise defined trial functions and the finite element method. Additional topics include higher order finite element approximation, mapping and numerical integration, variational methods, and partial discretization and time-dependent problems. A survey of generalized finite elements and error estimates concludes the text.
Author : A. J. Baker
Publisher : Taylor & Francis US
ISBN 13 : 9781560322450
Total Pages : 534 pages
Book Rating : 4.3/5 (224 download)
Download or read book Finite Element Computational Fluid Mechanics written by A. J. Baker and published by Taylor & Francis US. This book was released on 1983-01-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced level undergraduates, engineers and scientists, this text derives, develops and applies finite-element solution methodology directly to the differential equation systems governing distinct and practical problem classes in fluid
Author : O. C. Zienkiewicz
Publisher : Butterworth-Heinemann
ISBN 13 : 9780750650557
Total Pages : 482 pages
Book Rating : 4.6/5 (55 download)
Download or read book The Finite Element Method: Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Springer-Verlag
ISBN 13 : 3322912159
Total Pages : 160 pages
Book Rating : 4.3/5 (229 download)
Download or read book Multilevel Finite Element Approximation written by and published by Springer-Verlag. This book was released on 2013-04-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vincent C. Prantil
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627052364
Total Pages : 116 pages
Book Rating : 4.6/5 (27 download)
Download or read book Lying by Approximation written by Vincent C. Prantil and published by Morgan & Claypool Publishers. This book was released on 2013-08-01 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In teaching an introduction to the finite element method at the undergraduate level, a prudent mix of theory and applications is often sought. In many cases, analysts use the finite element method to perform parametric studies on potential designs to size parts, weed out less desirable design scenarios, and predict system behavior under load. In this book, we discuss common pitfalls encountered by many finite element analysts, in particular, students encountering the method for the first time. We present a variety of simple problems in axial, bending, torsion, and shear loading that combine the students' knowledge of theoretical mechanics, numerical methods, and approximations particular to the finite element method itself. We also present case studies in which analyses are coupled with experiments to emphasize validation, illustrate where interpretations of numerical results can be misleading, and what can be done to allay such tendencies. Challenges in presenting the necessary mix of theory and applications in a typical undergraduate course are discussed. We also discuss a list of tips and rules of thumb for applying the method in practice. Table of Contents: Preface / Acknowledgments / Guilty Until Proven Innocent / Let's Get Started / Where We Begin to Go Wrong / It's Only a Model / Wisdom Is Doing It / Summary / Afterword / Bibliography / Authors' Biographies
Author : G.R. Liu
Publisher : CRC Press
ISBN 13 : 1420040588
Total Pages : 715 pages
Book Rating : 4.4/5 (2 download)
Download or read book Mesh Free Methods written by G.R. Liu and published by CRC Press. This book was released on 2002-07-29 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,
Author : Max D. Gunzburger
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (317 download)
Download or read book The Computational Accuracy of Some Finite Element Methods for Incompressible Viscous Flow Problems written by Max D. Gunzburger and published by . This book was released on 1981 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mohammed Althubyani
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (125 download)
Download or read book Bounded and Positive Finite Element Approximations of Reaction-Diffusion Equations written by Mohammed Althubyani and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, the numerical analysis of di erential equations focusses on stability, convergence and accuracy of the numerical methods employed. However in practice, there are other features of the numerical methods that we are interested in. Generally, when we discretize a di erential equation, we would like to preserve certain intrinsic characteristics of the model, for example, positivity and boundedness of the quantities of interest. Consider- able progress has been made in this area for the Finite Di erence Method (FDM), for example, the Non Standard Finite Di erence Method (NSFDM). However, little work has been done on preserving positivity and bounded- ness for the numerical solutions of the Finite Element Method (FEM). In this work we develop a general framework for achieving this aim, which is based on the careful application of the Standard Galerkin FEM with 'Mass Lump- ing'. For concreteness, we present results for the Heat Equation, The Fisher reaction-di usion equation, and a coupled predator-prey reaction-di usion of Rosenzweig-MacArthur form.
Author : Pavel B. Bochev
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (317 download)
Download or read book Accuracy of Least-squares Methods for the Navier-Stokes Equations written by Pavel B. Bochev and published by . This book was released on 1993 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
