Abstract
The paper deals with a combination of the Fourier-finite-element method with the Nitsche-finite-element method (as a mortar method). The approach is applied to the Dirichlet problem for the Poisson equation in 3D axisymmetric domains with non-axisymmetric data. The approximating Fourier method yields a splitting of the 3D problem into 2D problems on the meridian plane of the given domain. For solving these 2D problems, the Nitsche-finite-element method with non-matching meshes is applied. Some important properties of the approximation scheme are derived and the rate of convergence in an H 1 -like norm as well as in the L 2 -norm is estimated for a regular solution. Finally, some numerical results are presented.
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