期刊
MATHEMATICS OF COMPUTATION
卷 78, 期 267, 页码 1353-1374出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0025-5718-08-02183-2
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资金
- Finnish National Graduate School in Engineering Mechanics
- Academy of Finland
- TEKES
- National Technology Agency of Finland
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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