The Resource A unified approach to the finite element method and error analysis procedures, John O. Dow
A unified approach to the finite element method and error analysis procedures, John O. Dow
Resource Information
The item A unified approach to the finite element method and error analysis procedures, John O. Dow represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.This item is available to borrow from 1 library branch.
Resource Information
The item A unified approach to the finite element method and error analysis procedures, John O. Dow represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.
This item is available to borrow from 1 library branch.
 Summary
 This book provides an indepth 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) pointwise 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, modelindependent results, and error measures * New polynomialbased 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 pointwise error measures * Essential background information provided in 12 appendices
 Language
 eng
 Extent
 1 online resource (xxiv, 533 pages)
 Contents

 General Introduction. Problem Definition and Development: Introduction. Principle of Minimum Potential Energy. Elements of the Calculus of Variations. Derivation of the Plane Stress Problem. RayleighRitz Variational Solution Technique. Physically Interpretable Displacement Polynomials: Strain Gradient Notation: Introduction. Strain Gradient Notation. Strain Gradient Representation of Discrete Structures. Strain Transformations. APriori Error Analysis Procedures: Introduction. The Development of Strain Gradient Based Finite Elements. Four Node Quadrilateral Element. Six Node Linear Strain Element. Eight and Nine Node Elements. Shear Locking and Aspect Ratio Stiffening. The Strain Gradient Reformation of the Finite Differences Method: Introduction. Elements of the Finite Difference Method. Finite Difference Boundary Condition Models. Extensions to the Finite Difference Method. APosteriori Error Analysis Procedures: Introduction. The Zienkiewicz/Zhu Error Estimation Procedure. Error Estimation Based on Finite Difference Smoothing. PointWise Error Estimates. SuperConvergence of the Augmented Finite Element Results. Adaptive Refinement of Finite Difference Models. Subject Index
 Isbn
 9780080543420
 Label
 A unified approach to the finite element method and error analysis procedures
 Title
 A unified approach to the finite element method and error analysis procedures
 Statement of responsibility
 John O. Dow
 Title variation
 Finite element method and error analysis procedures
 Language
 eng
 Summary
 This book provides an indepth 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) pointwise 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, modelindependent results, and error measures * New polynomialbased 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 pointwise error measures * Essential background information provided in 12 appendices
 Cataloging source
 OPELS
 http://library.link/vocab/creatorDate
 1941
 http://library.link/vocab/creatorName
 Dow, John O.
 Dewey number
 620/.001/51535
 Illustrations
 illustrations
 Index
 index present
 LC call number
 TA347.F5
 LC item number
 D69 1999eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Finite element method
 Error analysis (Mathematics)
 Finite element method
 Error analysis (Mathematics)
 TECHNOLOGY & ENGINEERING
 TECHNOLOGY & ENGINEERING
 Error analysis (Mathematics)
 Finite element method
 Finite element method
 Error analysis (Mathematics)
 Label
 A unified approach to the finite element method and error analysis procedures, John O. Dow
 Link
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 General Introduction. Problem Definition and Development: Introduction. Principle of Minimum Potential Energy. Elements of the Calculus of Variations. Derivation of the Plane Stress Problem. RayleighRitz Variational Solution Technique. Physically Interpretable Displacement Polynomials: Strain Gradient Notation: Introduction. Strain Gradient Notation. Strain Gradient Representation of Discrete Structures. Strain Transformations. APriori Error Analysis Procedures: Introduction. The Development of Strain Gradient Based Finite Elements. Four Node Quadrilateral Element. Six Node Linear Strain Element. Eight and Nine Node Elements. Shear Locking and Aspect Ratio Stiffening. The Strain Gradient Reformation of the Finite Differences Method: Introduction. Elements of the Finite Difference Method. Finite Difference Boundary Condition Models. Extensions to the Finite Difference Method. APosteriori Error Analysis Procedures: Introduction. The Zienkiewicz/Zhu Error Estimation Procedure. Error Estimation Based on Finite Difference Smoothing. PointWise Error Estimates. SuperConvergence of the Augmented Finite Element Results. Adaptive Refinement of Finite Difference Models. Subject Index
 Control code
 ocn162571925
 Dimensions
 unknown
 Extent
 1 online resource (xxiv, 533 pages)
 Form of item
 online
 Isbn
 9780080543420
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations
 Specific material designation
 remote
 Stock number
 80514:80514
 System control number

 (Sirsi) o162571925
 (OCoLC)162571925
 Label
 A unified approach to the finite element method and error analysis procedures, John O. Dow
 Link
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 General Introduction. Problem Definition and Development: Introduction. Principle of Minimum Potential Energy. Elements of the Calculus of Variations. Derivation of the Plane Stress Problem. RayleighRitz Variational Solution Technique. Physically Interpretable Displacement Polynomials: Strain Gradient Notation: Introduction. Strain Gradient Notation. Strain Gradient Representation of Discrete Structures. Strain Transformations. APriori Error Analysis Procedures: Introduction. The Development of Strain Gradient Based Finite Elements. Four Node Quadrilateral Element. Six Node Linear Strain Element. Eight and Nine Node Elements. Shear Locking and Aspect Ratio Stiffening. The Strain Gradient Reformation of the Finite Differences Method: Introduction. Elements of the Finite Difference Method. Finite Difference Boundary Condition Models. Extensions to the Finite Difference Method. APosteriori Error Analysis Procedures: Introduction. The Zienkiewicz/Zhu Error Estimation Procedure. Error Estimation Based on Finite Difference Smoothing. PointWise Error Estimates. SuperConvergence of the Augmented Finite Element Results. Adaptive Refinement of Finite Difference Models. Subject Index
 Control code
 ocn162571925
 Dimensions
 unknown
 Extent
 1 online resource (xxiv, 533 pages)
 Form of item
 online
 Isbn
 9780080543420
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations
 Specific material designation
 remote
 Stock number
 80514:80514
 System control number

 (Sirsi) o162571925
 (OCoLC)162571925
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.waubonsee.edu/portal/Aunifiedapproachtothefiniteelementmethod/UZq8c1j8NWk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.waubonsee.edu/portal/Aunifiedapproachtothefiniteelementmethod/UZq8c1j8NWk/">A unified approach to the finite element method and error analysis procedures, John O. Dow</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.waubonsee.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.waubonsee.edu/">Waubonsee Community College</a></span></span></span></span></div>