## The Mathematics of Finite Elements and Applications: Highlights 1993World leaders in diverse disciplines, whose common interest is finite element methods, address the latest developments in the field. Mathematical theory, engineering and scientific applications, computational techniques, large scale analysis and implementation of related methods are among the subjects discussed. |

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### Contents

Error Estimation and Control in Computational Fluid Dynamics | 1 |

Reliability of Computational Mechanics | 25 |

Numerical Techniques for Problems of Quasistatic and Dynamic | 45 |

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accuracy adaptive algorithm adaptive mesh adaptive mesh refinement algorithm asymptotic Babuska boundary conditions boundary value problem coefficients components constant convergence defined Demkowicz denote derived dimensional discrete domain decomposition edge efficient elastic Elements and Applications elliptic problems Engineering Euler equations example Figure finite element analysis finite element approximation finite element method finite element solution finite volume finite volume methods flow fluid flux formulation Galerkin given Givoli global error gradients hyperbolic incompressible integral interface interpolation iteration J. R. Whiteman linear MAFELAP Mathematics of Finite matrix mesh refinement Meth Navier-Stokes equations nodal nodes nonlinear obtained Oden optimal parabolic parallel computation parameter partial differential equations piecewise plate polynomial posteriori error estimates pressure procedure residual scheme simulation smooth solved solver space spatial stability step strain strategy stress structure subdomains superconvergent technique tetrahedral Theorem triangle unstructured grid variables vector velocity viscoelastic Zienkiewicz