## Mathematics of Finite Elements and Applications |

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### Contents

CONTRIBUTORS | 37 |

SoME REcENr ADvANcEs IN THE MATHEMATIcs on FINITE ELEMENTs | 59 |

Ennon 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 coeﬂicients components consider constant convergence corresponding crack creep curved deﬁned deﬂection degrees of freedom denote derivatives differential equations dimensional Dirichlet problem displacement domain eigenvalues elastic energy Engineering error bounds exact solution ﬁeld ﬁnd Finite Element Method ﬁnite element solution ﬁnite-difference ﬁrst ﬁxed ﬂow formulation Galerkin Galerkin method Gaussian elimination given heat conduction Hermite interpolation integration interpolation functions isoparametric iterative methods linear load Math mathematical Mech mesh Meth nodal point nodes nonlinear norm obtained Oden parameters piecewise plane polynomials positive deﬁnite Proc procedure quadratic quadrilateral rectangular satisﬁed shell singularity sinh Sobolev space solved space stiffness matrix strain strain tensor stress structure subspace surface symmetric technique temperature theorem trial functions triangle triangular elements variables variational principle vector zero Zienkiewicz Zlamal