The master project is to implement the reduced basis element method in three dimensions. The underlying problem may be heat diffusion, like a thermal fin or fluid flow problems. The project will give a good understanding of how geometries other than the unit square are included in numerical solution of PDEs, and there are several challenges in the implementation of the reduced basis method. The goal of the project is to use the reduced basis element method to find an approximation to the underlying problem for a large number of generic geometries, and possibly choose the optimal geometry with respect to some criterion.

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