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Paper The following article is Open access

Differentiation on spaces of triangulations and optimized triangulations.

Published under licence by IOP Publishing Ltd
, , Citation Jean-Pierre Magnot 2016 J. Phys.: Conf. Ser. 738 012088 DOI 10.1088/1742-6596/738/1/012088

1742-6596/738/1/012088

Abstract

We describe a smooth structure, called Frolicher 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 get an optimized H1 approximation in a prescribed a class of triangulations.

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10.1088/1742-6596/738/1/012088