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Title: Exact and approximate boundary data interpolation in the finite element method
Authors: Barnhill, RE
Brown, JH
Gregory, JA
Mitchell, AR
Publication Date: 1981
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). January 1981, pp 1-14
Series/Report no.: ;TR/01/81
Abstract: Matching boundary data exactly in an elliptic problem avoids one of Strang's "variational crimes". (Strang and Fix (1973)). Supporting numerical evidence for this procedure is given by Marshall and Mitchell (1973), who considered the solution of Laplace's equation with Dirichlet boundary data by bilinear elements over squares and measured the errors in the L2 norm. Then Marshall and Mitchell (1978) obtained some surprising results: for certain triangular elements, matching the boundary data exactly produced worse results than the usual procedure of interpolating the boundary data.
Appears in Collections:Mathematics Technical Papers

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