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 1975, Volume 2
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Basis Functions for Curved Elements in the Mathematical
Overcoming Loss of Accuracy when using Curved Finite
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accuracy algorithm application approximation assumed basis functions bilinear form boundary conditions boundary value problems calculation Chebyshev equation coefficients computed considered constant convection convergence corresponding cubic curved side defined degrees of freedom denote derivatives differential equations dimensional displacement domain eigenvalues elastic element stiffness error bounds example finite difference finite element analysis finite element method flow fluid formulation Galerkin Galerkin methods given gradient Hermite interpolation initial integration interpolation isoparametric Jacobi method linear load Math Mathematics Mech mesh Meth nodes nonlinear norm number of iterations obtained Oden 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 University variables variation vector velocity viscous Whiteman zero Zienkiewicz Zlamal