Covers the fundamentals of the linear theory of finite elements, from both mathematical and physical viewpoints. Emphasis is placed on error estimation and adaptive methods for the reduction of errors. The p and hp versions used by aerospace companies in stress analysis programmes are described.

The authors cover the fundamentals of linear theory of finite elements from both the mathematical and physical viewpoint, with an emphasis on error estimation and adaptive methods for reducing error estimations for better reliability. The p and hp versions used by aerospace companies, and now becoming common throughout industry in all stress analysis programs, are also described.

Publisher:

Wiley-Interscience

ISBN:

9780471502739

Publication date:

April 1991

Length:

243mm

Width:

164mm

Thickness:

23mm

Weight:

708g

Pages:

384

Illustrations:

Illustrated

Readership:

Tertiary education; Professional & scholarly

Illustrated:

Illustrated

• 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