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

Dow, John O.; Dow, Julian A. T.

Hardcover

ISBN 10: 0122214404 ISBN 13: 9780122214400

Publisher: Academic Press, 1998

Synopsis

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

About this title

Review

"Serves as a supplemental text for an undergraduate and a primary textbook for a graduate course, and as a reference for practicing engineers and researchers in computational mechanics. Dow (structural mechanics, U. of Colorado-Boulder) provides background material about finite element results and techniques that can improve their accuracy. From a common theoretical foundation, he develops three error analysis techniques: modeling errors in individual elements, discretization errors in the overall model, and point-wise errors in the final stress or strain results." -- Copyright © 1999 Book News, Inc., Portland, OR All rights reserved

From the Back Cover

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.

Key Features:
* 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

About the author:
John O. Dow is an Associate Professor at the University of Colorado at Boulder in the Department of Civil, Environmental and Architectural Engineering. He is a specialist in structural mechanics with extensive industrial experience in automotive engineering, aerospace engineering, and civil engineering application. Professor Dow is an active consultant in the industry of structural mechanics. His graduate students are employed as structural software engineers, bridge designers, offshore structures designers, and aerospace designers and analysis.|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.

Key Features:
* 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

About the author:
John O. Dow is an Associate Professor at the University of Colorado at Boulder in the Department of Civil, Environmental and Architectural Engineering. He is a specialist in structural mechanics with extensive industrial experience in automotive engineering, aerospace engineering, and civil engineering application. Professor Dow is an active consultant in the industry of structural mechanics. His graduate students are employed as structural software engineers, bridge designers, offshore structures designers, and aerospace designers and analysis.

About this edition

• Publisher: Academic Press
• Publication date: 1998
• ISBN 10: 0122214404
• ISBN 13: 9780122214400
• Binding: Hardcover
• Number of pages: 560