A Unified Approach To The Finite Element Method And Error Analysis Procedures

A Unified Approach To The Finite Element Method And Error Analysis Procedures Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of A Unified Approach To The Finite Element Method And Error Analysis Procedures book. This book definitely worth reading, it is an incredibly well-written.

A Unified Approach to the Finite Element Method and Error Analysis Procedures

Julian A. T. Dow
A Unified Approach to the Finite Element Method and Error Analysis Procedures Book PDF

Author : Julian A. T. Dow
Publisher : Elsevier
Page : 559 pages
File Size : 46,9 Mb
Release : 1998-11-09
Category : Technology & Engineering
ISBN : 9780080543420

Get Book

A Unified Approach to the Finite Element Method and Error Analysis Procedures by Julian A. T. Dow Pdf

A Unified Approach to the Finite Element Method and Error Analysis Procedures provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error analysis techniques are systematically developed from a common theoretical foundation: 1) modeling erros in individual elements; 2) discretization errors in the overall model; 3) point-wise errors in the final stress or strain results. Thoroughly class tested with undergraduate and graduate students. A Unified Approach to the Finite Element Method and Error Analysis Procedures is sure to become an essential resource for students as well as practicing engineers and researchers. New, simpler element formulation techniques, model-independent results, and error measures New polynomial-based methods for identifying critical points New procedures for evaluating sheer/strain accuracy Accessible to undergraduates, insightful to researchers, and useful to practitioners Taylor series (polynomial) based Intuitive elemental and point-wise error measures Essential background information provided in 12 appendices

The Essentials of Finite Element Modeling and Adaptive Refinement

John O. Dow
The Essentials of Finite Element Modeling and Adaptive Refinement Book PDF

Author : John O. Dow
Publisher : Momentum Press
Page : 271 pages
File Size : 54,7 Mb
Release : 2012-07-01
Category : Technology & Engineering
ISBN : 9781606503348

Get Book

The Essentials of Finite Element Modeling and Adaptive Refinement by John O. Dow Pdf

Finite Element Analysis is a very popular, computer-based tool that uses a complex system of points called nodes to make a grid called a "mesh. " The mesh contains the material and structural properties that define how the structure will react to certain loading conditions, allowing virtual testing and analysis of stresses or changes applied to the material or component design. This groundbreaking text extends the usefulness of finite element analysis by helping both beginners and advanced users alike. It simplifies, improves, and extends both the finite element method while at the same time advancing adaptive refinement procedures. These improvements are made possible due to a change in notation that embeds knowledge of solid continuum mechanics into the equations used to formulate the stiffness matrices; this allows the modeling characteristics of individual elements to be identified by visual inspection. The ability to visually relate the equations involved in element formulation to the physical process they represent is like having an x-ray of the inner workings of the finite element method; it is similar is to the effect that Graphical User Interfaces or GUI's had on computing. As a result, students at any level of finite element study are provided with an understanding of the capabilities and limitations of this powerful analytic tool. The book presents * A more simplified approach to finite element analysis based on computational continuum mechanics * Physically interpretable notation that identifies a common basis for the finite element and the finite difference methods. * New point-wise error estimators that identify errors in terms of quantities of direct interest in solid mechanics

Adaptive Finite Element Methods for Differential Equations

Wolfgang Bangerth,Rolf Rannacher
Adaptive Finite Element Methods for Differential Equations Book PDF

Author : Wolfgang Bangerth,Rolf Rannacher
Publisher : Birkhäuser
Page : 216 pages
File Size : 53,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783034876056

Get Book

Adaptive Finite Element Methods for Differential Equations by Wolfgang Bangerth,Rolf Rannacher Pdf

These Lecture Notes have been compiled from the material presented by the second author in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self adaptivity' in the numerical solution of differential equations are discussed with emphasis on Galerkin finite element methods. The key issues are a posteriori er ror estimation and automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method (or shortly D WR method) for goal-oriented error estimation is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. 'Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. The basics of the DWR method and various of its applications are described in the following survey articles: R. Rannacher [114], Error control in finite element computations. In: Proc. of Summer School Error Control and Adaptivity in Scientific Computing (H. Bulgak and C. Zenger, eds), pp. 247-278. Kluwer Academic Publishers, 1998. M. Braack and R. Rannacher [42], Adaptive finite element methods for low Mach-number flows with chemical reactions.

A Posteriori Error Estimation in Finite Element Analysis

Mark Ainsworth,J. Tinsley Oden
A Posteriori Error Estimation in Finite Element Analysis Book PDF

Author : Mark Ainsworth,J. Tinsley Oden
Publisher : John Wiley & Sons
Page : 266 pages
File Size : 48,8 Mb
Release : 2011-09-28
Category : Mathematics
ISBN : 9781118031070

Get Book

A Posteriori Error Estimation in Finite Element Analysis by Mark Ainsworth,J. Tinsley Oden Pdf

An up-to-date, one-stop reference-complete with applications This volume presents the most up-to-date information available on aposteriori error estimation for finite element approximation inmechanics and mathematics. It emphasizes methods for ellipticboundary value problems and includes applications to incompressibleflow and nonlinear problems. Recent years have seen an explosion in the study of a posteriorierror estimators due to their remarkable influence on improvingboth accuracy and reliability in scientific computing. In an effortto provide an accessible source, the authors have sought to presentkey ideas and common principles on a sound mathematicalfooting. Topics covered in this timely reference include: * Implicit and explicit a posteriori error estimators * Recovery-based error estimators * Estimators, indicators, and hierarchic bases * The equilibrated residual method * Methodology for the comparison of estimators * Estimation of errors in quantities of interest A Posteriori Error Estimation in Finite Element Analysis is a lucidand convenient resource for researchers in almost any field offinite element methods, and for applied mathematicians andengineers who have an interest in error estimation and/or finiteelements.

Structural Analysis with Finite Elements

Friedel Hartmann,Casimir Katz
Structural Analysis with Finite Elements Book PDF

Author : Friedel Hartmann,Casimir Katz
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 50,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662054239

Get Book

Structural Analysis with Finite Elements by Friedel Hartmann,Casimir Katz Pdf

This book provides a solid introduction to the foundation and the application of the finite element method in structural analysis. It offers new theoretical insight and practical advice. This second edition contains additional sections on sensitivity analysis, on retrofitting structures, on the Generalized FEM (X-FEM) and on model adaptivity. An additional chapter treats the boundary element method, and related software is available at www.winfem.de.

Model Validation and Uncertainty Quantification, Volume 3

H. Sezer Atamturktur,Babak Moaveni,Costas Papadimitriou,Tyler Schoenherr
Model Validation and Uncertainty Quantification Volume 3 Book PDF

Author : H. Sezer Atamturktur,Babak Moaveni,Costas Papadimitriou,Tyler Schoenherr
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 40,9 Mb
Release : 2014-04-11
Category : Technology & Engineering
ISBN : 9783319045528

Get Book

Model Validation and Uncertainty Quantification, Volume 3 by H. Sezer Atamturktur,Babak Moaveni,Costas Papadimitriou,Tyler Schoenherr Pdf

This third volume of eight from the IMAC - XXXII Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Linear Systems Substructure Modelling Adaptive Structures Experimental Techniques Analytical Methods Damage Detection Damping of Materials & Members Modal Parameter Identification Modal Testing Methods System Identification Active Control Modal Parameter Estimation Processing Modal Data

Minimization of Welding Distortion and Buckling

Pan Michaleris
Minimization of Welding Distortion and Buckling Book PDF

Author : Pan Michaleris
Publisher : Elsevier
Page : 319 pages
File Size : 42,5 Mb
Release : 2011-05-25
Category : Technology & Engineering
ISBN : 9780857092908

Get Book

Minimization of Welding Distortion and Buckling by Pan Michaleris Pdf

Welding is a cost-effective and flexible method of fabricating large structures, but drawbacks such as residual stress, distortion and buckling must be overcome in order to optimize structural performance. Minimization of welding distortion and buckling provides a systematic overview of the methods of minimizing distortion and buckling in welded structures. Following an introductory chapter, part one focuses on understanding welding stress and distortion, with chapters on such topics as computational welding mechanics, modelling the effect of phase transformations on welding stress and distortion and using computationally efficient reduced-solution methods to understand welding distortion. Part two covers different methods of minimizing welding distortion. Chapters discuss methods such as differential heating for minimizing distortion in welded stiffeners, dynamic thermal tensioning, reverse-side heating and ways of minimizing buckling such as weld cooling and hybrid laser arc welding. With its distinguished editor and international team of contributors, Minimization of welding distortion and buckling is an essential reference for all welders and engineers involved in fabrication of metal end-products, as well as those in industry and academia with a research interest in the area. Provides a systematic overview of the methods of minimizing distortion and buckling in welded structures Focuses on understanding welding stress and distortion featuring computational welding mechanics and modelling the effect of phase transformations Explores different methods of minimizing welding distortion discussing differential heating and dynamic thermal tensioning

A Posteriori Error Estimation Techniques for Finite Element Methods

Rudiger Verfurth,Rüdiger Verfürth
A Posteriori Error Estimation Techniques for Finite Element Methods Book PDF

Author : Rudiger Verfurth,Rüdiger Verfürth
Publisher : Oxford University Press
Page : 414 pages
File Size : 52,8 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9780199679423

Get Book

A Posteriori Error Estimation Techniques for Finite Element Methods by Rudiger Verfurth,Rüdiger Verfürth Pdf

A posteriori error estimation techniques are fundamental to the efficient numerical solution of PDEs arising in physical and technical applications. This book gives a unified approach to these techniques and guides graduate students, researchers, and practitioners towards understanding, applying and developing self-adaptive discretization methods.

The Finite Element Method: Its Basis and Fundamentals

Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
The Finite Element Method Its Basis and Fundamentals Book PDF

Author : Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
Publisher : Butterworth-Heinemann
Page : 756 pages
File Size : 45,5 Mb
Release : 2013-08-31
Category : Technology & Engineering
ISBN : 9780080951355

Get Book

The Finite Element Method: Its Basis and Fundamentals by Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu Pdf

The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book’s content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field problems Automatic mesh generation Plate bending and shells Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development. Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience. Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms.

Modeling and Problem Solving Techniques for Engineers

Laszlo Horvath,Imre Rudas
Modeling and Problem Solving Techniques for Engineers Book PDF

Author : Laszlo Horvath,Imre Rudas
Publisher : Elsevier
Page : 350 pages
File Size : 49,8 Mb
Release : 2004-07-23
Category : Mathematics
ISBN : 9780126022506

Get Book

Modeling and Problem Solving Techniques for Engineers by Laszlo Horvath,Imre Rudas Pdf

Summary: "Today, the majority of engineers in many varied fields must utilize CAD/CAM systems in their work, but due to the increasing number and sophistication of programs and methods available, no one engineer can possibly be an expert in all of them. This book will help, by offering a detailed and comprehensive survey of all the leading computer-aided engineering methods, effectively providing a map to this sometimes confusing world. It is especially written for design and production engineers practicing in the modern industrial environment, where design, analysis, manufacturing planning, production planning and computer controlled equipment programming are all governed by CAD/CAM systems. The authors, who are engineering professors as well as IT professionals, clearly explain concepts, approaches, principles, and practical methods in purposefully IT-jargon free language, so that engineers will not get lost in a tangle of acronyms. It profides basic theoretical background and examines the relative value of various competitive computer-aided engineering methods, so that engineers will feel confident in making design tool choices, without having to become specialists in the development issues surrounding each system"--Back cover.

Bounding Uncertainty in Civil Engineering

Alberto Bernardini,Fulvio Tonon
Bounding Uncertainty in Civil Engineering Book PDF

Author : Alberto Bernardini,Fulvio Tonon
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 52,7 Mb
Release : 2010-03-15
Category : Science
ISBN : 9783642111907

Get Book

Bounding Uncertainty in Civil Engineering by Alberto Bernardini,Fulvio Tonon Pdf

Taking an engineering, rather than a mathematical, approach, Bounding uncertainty in Civil Engineering - Theoretical Background deals with the mathematical theories that use convex sets of probability distributions to describe the input data and/or the final response of systems. The particular point of view of the authors is centered on the applications to civil engineering problems, and the theory of random sets has been adopted as a basic and relatively simple model. However, the authors have tried to elucidate its connections to the more general theory of imprecise probabilities, Choquet capacities, fuzzy sets, p-boxes, convex sets of parametric probability distributions, and approximate reasoning both in one dimension and in several dimensions with associated joint spaces. If choosing the theory of random sets may lead to some loss of generality, it has, on the other hand, allowed for a self-contained selection of the topics and a more unified presentation of the theoretical contents and algorithms. With over 80 examples worked out step by step, the book should assist newcomers to the subject (who may otherwise find it difficult to navigate a vast and dispersed literature) in applying the techniques described to their own specific problems.

Finite Element Analysis with Error Estimators

J. E. Akin
Finite Element Analysis with Error Estimators Book PDF

Author : J. E. Akin
Publisher : Elsevier
Page : 465 pages
File Size : 54,9 Mb
Release : 2005-06-22
Category : Technology & Engineering
ISBN : 9780080472751

Get Book

Finite Element Analysis with Error Estimators by J. E. Akin Pdf

This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic. The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics Includes source code for creating and proving FEA error estimators

Novel Finite Element Technologies for Solids and Structures

Jörg Schröder,Paulo de Mattos Pimenta
Novel Finite Element Technologies for Solids and Structures Book PDF

Author : Jörg Schröder,Paulo de Mattos Pimenta
Publisher : Springer Nature
Page : 202 pages
File Size : 55,6 Mb
Release : 2019-11-26
Category : Mathematics
ISBN : 9783030335205

Get Book

Novel Finite Element Technologies for Solids and Structures by Jörg Schröder,Paulo de Mattos Pimenta Pdf

This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.

The Finite Element Method

Douglas H. Norrie,Gerard de Vries
The Finite Element Method Book PDF

Author : Douglas H. Norrie,Gerard de Vries
Publisher : Academic Press
Page : 337 pages
File Size : 50,8 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483218915

Get Book

The Finite Element Method by Douglas H. Norrie,Gerard de Vries Pdf

The Finite Element Method: Fundamentals and Applications demonstrates the generality of the finite element method by providing a unified treatment of fundamentals and a broad coverage of applications. Topics covered include field problems and their approximate solutions; the variational method based on the Hilbert space; and the Ritz finite element method. Finite element applications in solid and structural mechanics are also discussed. Comprised of 16 chapters, this book begins with an introduction to the formulation and classification of physical problems, followed by a review of field or continuum problems and their approximate solutions by the method of trial functions. It is shown that the finite element method is a subclass of the method of trial functions and that a finite element formulation can, in principle, be developed for most trial function procedures. Variational and residual trial function methods are considered in some detail and their convergence is examined. After discussing the calculus of variations, both in classical and Hilbert space form, the fundamentals of the finite element method are analyzed. The variational approach is illustrated by outlining the Ritz finite element method. The application of the finite element method to solid and structural mechanics is also considered. This monograph will appeal to undergraduate and graduate students, engineers, scientists, and applied mathematicians.

The Finite Element Method in Engineering

Singiresu S. Rao
The Finite Element Method in Engineering Book PDF

Author : Singiresu S. Rao
Publisher : Elsevier
Page : 688 pages
File Size : 55,6 Mb
Release : 2011-03-15
Category : Technology & Engineering
ISBN : 9780080470504

Get Book

The Finite Element Method in Engineering by Singiresu S. Rao Pdf

The Finite Element Method in Engineering is the only book to provide a broad overview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. This is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on mathematical equations. The book provides a host of real-world applications of finite element analysis, from structural design to problems in fluid mechanics and thermodynamics. It has added new sections on the assemblage of element equations, as well as an important new comparison between finite element analysis and other analytical methods showing advantages and disadvantages of each. This book will appeal to students in mechanical, structural, electrical, environmental and biomedical engineering. The only book to provide a broadoverview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods, showing the advantages and disadvantages of each.