Higher order approximations to the boundary conditions for the finite element method-Reference-Cited by-同舟云学术

Higher order approximations to the boundary conditions for the finite element method

Published:1976 Issue:134 Volume:30 Page:250-262
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Blair J. J.

Abstract

We consider here the approximation of essential boundary conditions for the finite element solutions of second order elliptic equations in two dimensions. Nonhomogeneous boundary conditions on curved boundaries are treated. The approach is to use trial functions which interpolate (in a generalized sense) functions satisfying the boundary conditions. The work is directed to showing in what manner this interpolation should be done to achieve the maximum accuracy and computational simplicity. These methods can be used to construct approximations of arbitrary high order of accuracy. Several examples are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1976-30-134/S0025-5718-1976-0398123-3/S0025-5718-1976-0398123-3.pdf

Reference17 articles.

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