Authors
Mika Juntunen, Rolf Stenberg
Publication date
2009
Journal
Mathematics of computation
Volume
78
Issue
267
Pages
1353-1374
Description
We introduce a method for treating general boundary conditions in the finite element method generalizing an approach, due to Nitsche (1971), for approximating Dirichlet boundary conditions. We use Poisson’s equations as a model problem and prove a priori and a posteriori error estimates. The method is also compared with the traditional Galerkin method. The theoretical results are verified numerically. References
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Scholar articles
M Juntunen, R Stenberg - Mathematics of computation, 2009