Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000001619125 | TA347.F5 S92 1991 | Open Access Book | Book | Searching... |
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Summary
Summary
Covers the fundamentals of linear theory of finite elements, from both mathematical and physical points of view. Major focus is on error estimation and adaptive methods used to increase the reliability of results. Incorporates recent advances not covered by other books.
Author Notes
Barna Szabo and Ivo Babu'ka are the authors of Finite Element Analysis, published by Wiley.
Reviews 1
Choice Review
Szabo and Babuska focus on the p-version concepts in finite element analysis. They are the two most prominent experts on this aspect of finite element analysis known to this reviewer. This is the first book to emphasize this area of finite element analysis, so it supplements rather than competes with other similar works. Convergence basics, and the advantages of p over h convergence, are central topics of various chapters. Elastostatic or structural mechanics are the bases of the primary class of problems addressed in the book, which covers all aspects from basis, formulation, assembly, through solution and computation of strains and stresses. Some mathematical maturity is assumed of the reader; engineers seeking a better understanding of the use of finite elements in their research will find this book a little too abstract. In this respect, the book lies between T.J.R. Hughes's The Finite Element Method (1987) and R.D. Cook's Concepts and Applications of Finite Element Analysis (1st ed., CH, Mar'75) or K.-J. Bathe's Finite Element Procedures in Engineering Analysis (1972). The text is crisp and clear to the reader with the necessary mathematical background. Each chapter concludes with a good list of references. Libraries collecting applied mathematics and upper-level applied mechanics material should have this book available for students and researchers.-W. C. Schnobrich, University of Illinois at Urbana-Champaign
Table of Contents
| Mathematical Models and Engineering Decisions |
| Generalized Solutions Based on the Principle of Virtual Work |
| Finite Element Discretizations in One Dimension |
| Extensions and Their Convergence Rates in One Dimension |
| Two-Dimensional Linear Elastostatic Problems |
| Element-Level Basis Functions in Two Dimensions |
| Computation of Stiffness Matrices and Load Vectors for Two Dimensional Elastostatic Problems |
| Potential Flow Problems |
| Assembly, Constraint Enforcement, and Solution |
| Extensions and Their Convergence Rates in Two Dimensions |
| Computation of Displacements, Stresses and Stress Resultants |
| Computation of the Coefficients of Asymptotic Expansions |
| Three-Dimensional Linear Elastostatic Problems |
| Models for Plates and Shells |
| Miscellaneous Topics |
| Estimation and Control of Errors of Discretization |
| Mathematical Models |
| Appendices |
| Index |
