The Mathematics of Finite Elements and Applications II: MAFELAP 1975 : Proceedings of the Brunel University Conference of the Institute of Mathematics and Its Applications Held in April 1975John Robert Whiteman |
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Contents
CONTRIBUTORS | 1 |
SOME ASPECTS OF THE MATHEMATICS OF FINITE ELEMENTS | 25 |
BASIS FUNCTIONS FOR CURVED ELEMENTS IN THE MATHEMATICAL | 43 |
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A-stable accuracy analysis application approximation assumed basis functions bilinear form boundary conditions Brunel University calculation coefficients computed considered constant convection convergence curved side defined degrees of freedom derivatives differential equations dimensional displacement domain eigenvalues elastic elliptic example finite difference finite element analysis finite element method flow fluid formulae Galerkin Galerkin methods given gradient heat Hermite interpolation initial integration interpolation isoparametric linear load Math Mathematics Mech mesh Meth nodal nodes nonlinear norm number of iterations obtained parabolic parameters partial differential equations piecewise plane plate polynomial procedure quadratic region satisfied scheme shape functions shown in Fig Sobolev space SOLV space step stiffness matrix strain stream function streamline stress structural surface symmetric technique temperature Theorem tion triangle u₁ value problems variables variation vector velocity Whiteman zero Zienkiewicz ди др ду дх