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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

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
Creator
Subject
Genre
Language
eng
Summary
This book 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
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
Instantiates
Publication
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. Rayleigh-Ritz Variational Solution Technique. Physically Interpretable Displacement Polynomials: Strain Gradient Notation: Introduction. Strain Gradient Notation. Strain Gradient Representation of Discrete Structures. Strain Transformations. A-Priori 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. A-Posteriori Error Analysis Procedures: Introduction. The Zienkiewicz/Zhu Error Estimation Procedure. Error Estimation Based on Finite Difference Smoothing. Point-Wise Error Estimates. Super-Convergence 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
Publication
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. Rayleigh-Ritz Variational Solution Technique. Physically Interpretable Displacement Polynomials: Strain Gradient Notation: Introduction. Strain Gradient Notation. Strain Gradient Representation of Discrete Structures. Strain Transformations. A-Priori 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. A-Posteriori Error Analysis Procedures: Introduction. The Zienkiewicz/Zhu Error Estimation Procedure. Error Estimation Based on Finite Difference Smoothing. Point-Wise Error Estimates. Super-Convergence 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

Library Locations

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      Collins Hall 2nd Floor Waubonsee Community College Route 47 at Waubonsee Drive, Sugar Grove, IL, 60554-9454, US
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