Differentiation on spaces of triangulations and optimized triangulations

Published 15 Feb 2016 in math.DG | (1602.04790v1)

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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Authors (1)

Jean-Pierre Magnot

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