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 |
Contents
AN INTRODUCTION TO THE MATHEMATICS OF THE FINITE ELEMENT | 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 algorithm analysis applications approximation assumed basis functions boundary conditions boundary value problems bounds calculated co-ordinates coefficients components consider constant convergence cosh crack curved defined deformation degrees of freedom denote derivatives differential equations dimensional direct solution displacement eigenvalues elastic element stiffness energy Engineering error finite element analysis finite element method finite element solution finite-difference flow Galerkin Galerkin method Gaussian elimination given heat conduction integration interpolation functions isoparametric iterative methods K₁ linear load mathematical Mech mesh microstrip nodal point nodes nonlinear obtained Oden parameters Piezoelectric plane plastic polynomial preconditioned Proc procedure quadrilateral rectangular satisfy shell singularity sinh solved space stiffness matrix strain tensor stress structure sub-division subspace symmetric techniques temperature tensor theorem triangle triangular elements U₁ variational principle vector velocity zero Zienkiewicz ду дх