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arXiv · 1602.04790

Differentiation on spaces of triangulations and optimized triangulations

Jean-Pierre Magnot
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Abstract

We describe a smooth structure, called Fr\"olicher space, on CW complexes and spaces of triangulations. This structure enables differential methods for e.g. minimization of functionnals. As an application, we exhibit how an optimized triangulation can be obtained in order to solve a standard PDE.

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Jean-Pierre Magnot. 2016-02-15. Differentiation on spaces of triangulations and optimized triangulations. https://doi.org/10.1088/1742-6596/738/1/012088

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