The Mathematics of Finite Elements and Applications: Proceedings of the Brunel University Conference of the Institute of Mathematics and Its Applications Held in April 1972 |
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Contents
FINITE ELEMENTSTHE BACKGROUND STORY By O C Zienkiewicz | 37 |
SOME RECENT ADVANCES IN THE MATHEMAtics of Finite ElemENTS | 59 |
ERROR ANALYSIS OF FINITE ELEMENT METHODS WITH TRIANGLES | 83 |
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accuracy analysis applications approach approximation assumed body boundary conditions bounds calculated co-ordinates coefficients complete components consider constant continuous convergence corresponding crack creep curved defined denote depends derivatives determined developed differential equations direct displacement distribution edge elastic elimination energy Engineering equations error exact example expressed factor finite element method flow forces functions given gives integration interpolation introduce involved iterative linear load material means mesh nodal nodes normal obtained operator parameters plane plate polynomials positive possible potential present problem procedure properties reduced REFERENCES region represent respectively satisfy shell shown side simple solution solved space square step stiffness matrix strain stress structure surface symmetric Table techniques temperature theory triangle triangular University values variational vector zero