Numerical Zoom for a Multi-Scale Problem

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Abstract

The domain is always a rectangular box, either because it is the physical domain or because it is the numerical zoom. The selection of the numerical zoom is done by the user within the public domain visualization software medit. A patch to the software has been written for us by P. Frey which allows to select a region with the mouse. Then the automatic triangulation of the zoom domain is done within the open source tool freefem3D and the boundary condition u_2=0 are applied automatically on the zoom bounding box. Therefore the mesh in the zoom region has nothing to do with the mesh at one level up. The computation of the integrals in the variational formulations involves products of functions defined on different meshes; quadrature points are used within each element of both triangulations.

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