Nitsche’s method for general boundary conditions
Mika Juntunen, Rolf Stenberg
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Source: Crossref
Published: Sep 25, 2008
DOI: 10.1090/s0025-5718-08-02183-2
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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.
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