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Finite Element Methods

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Overview

These proceedings originated from a conference commemorating the 50th anniversary of the publication of Richard Courant's seminal paper, Variational Methods for Problems of Equilibrium and Vibration. These papers address fundamental questions in numerical analysis and the special problems that occur in applying the finite element method to various fields of science and engineering.
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Editorial Reviews

Mathematics of Computation
Anyone who is working in the field of finite elements would certainly find some of the papers in this book interesting...a valuable addition to any library.
Applications of Mathematics
...contains Courant's original groundbreaking paper and papers by over 80 experts in finite element methods which deal with both fundamental questions in numerical analysis and special problems that occur in applying the finite element method to various fields of science and engineering.
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Product Details

Table of Contents

Two robot patch recovery methods with built-in field equations and boundary conditions; superconvergence similarities in standard and mixed finite element methods; on the FEM for the Navier-Stokes equations in the domains with corner singularities; projections in finite element analysis and application; element analysis method and superconvergence; quadratic interpolation polynomials in vertices of strongly regular triangulations; explicit error bounds for a nonconforming finite element method; analysis of the average efficiency of an error estimator; on the mesh for difference schemes of higher accuracy for the heat-conduction equation; shape design sensitivity formulae approximated by means of a recovered gradient method; a posteriori error estimates for three-dimensional axisymmetric elliptic problems; hierarchical basis error estimators for Raviart-Thomas discretizations of arbitrary order; the superconvergence of finite element methods on domains with reentrant corners; error estimation for linear and nonlinear problems; superconvergent recovery operators - derivative recovery techniques; superclose FE-theory becomes a table of integrals; adaptive finite element method for systems of reaction-diffusion equations; pointwise error estimates, superconvergence and extrapolation; approximate solution of problem on viscous flow with evaporating non-compact free boundary; shape calculus and FEM in smooth domains; general principles of superconvergence in Galerkin finite element methods; a survey of superconvergence techniques in finite element methods; adaptive procedure with superconvergent patch recovery for linear parabolic problems; bibliography on superconvergence.

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