The Mathematics of Finite Elements and Applications: Proceedings of the Brunel University Conference of the Institute of Mathematics and Its Applications Held in ...Academic Press, 1972 - Engineering mathematics |
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Page 47
... triangles in a triangular network in the ( x , y ) plane can be transformed into the standard triangle , it is convenient to work in terms of the standard triangle , and at an appropriate point to transfer the result back to a particular ...
... triangles in a triangular network in the ( x , y ) plane can be transformed into the standard triangle , it is convenient to work in terms of the standard triangle , and at an appropriate point to transfer the result back to a particular ...
Page 51
... triangle to be divided into three small triangles having the centroid of the triangle as a common vertex . The three small triangles 2 π3 G FIG . 1 P are shown with respect to the standard triangle in Fig . 1. The corrective functions ...
... triangle to be divided into three small triangles having the centroid of the triangle as a common vertex . The three small triangles 2 π3 G FIG . 1 P are shown with respect to the standard triangle in Fig . 1. The corrective functions ...
Page 97
... triangle inequality on the right - hand side and then the triangle inequality on each of the three integrals , followed by Hölder's inequality on each integral . Then we take the L , norm of the resulting inequality and use the triangle ...
... triangle inequality on the right - hand side and then the triangle inequality on each of the three integrals , followed by Hölder's inequality on each integral . Then we take the L , norm of the resulting inequality and use the triangle ...
Contents
CONTRIBUTORS | 1 |
AN INTRODUCTION TO THE MATHEMATICS OF THE FINITE ELEMENT | 37 |
SOME RECENT ADVANCES IN THE MATHEMATICS OF FINITE ELEMENTS | 59 |
Copyright | |
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Common terms and phrases
accuracy algorithm analysis applications approximation assumed basis functions boundary conditions boundary value problems calculated co-ordinates coefficients components consider constant convergence corresponding creep curved defined degrees of freedom denote derivatives differential equations dimensional Dirichlet problem displacement domain eigenvalues elastic element stiffness energy Engineering error bounds exact solution finite element analysis finite element method finite element solution finite-difference Galerkin Galerkin method Gaussian elimination given heat conduction Hermite interpolation integration interpolation functions isoparametric linear Math mathematical Mech mesh Meth nodal point nodes nonlinear norm obtained parameters piecewise plane polynomials Proc procedure quadrilateral rectangular satisfy shell singularity sinh Sobolev space solved space stiffness matrix strain stress structure subspace surface symmetric technique temperature theorem trial functions triangle triangular elements u₁ variables variational principle vector zero Zienkiewicz Zlámal ду дх