## 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, Volume 1 |

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### 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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### 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 crack 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 example finite element analysis finite element method finite element solution finite-difference formulation Galerkin Galerkin method Gaussian elimination given heat conduction Hermite interpolation integration interpolation functions isoparametric linear load Math mathematical Mech mesh Meth nodal point nodes nonlinear norm obtained Oden operator parameters piecewise plane polynomials Proc procedure quadratic quadrilateral rectangular respectively Ritz satisfy shell singularity sinh Sobolev space solved space stiffness matrix strain strain tensor stress structure subspace surface symmetric technique temperature tensor theorem trial functions triangle triangular elements variables variational principle vector zero Zienkiewicz Zlamal