Differentiation on spaces of triangulations and optimized triangulations.

[摘要] 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 H1approximation in a prescribed a class of triangulations.

[发布机构] Lycée Jeanne d'Arc, Avenue de Grande Bretagne, Clermont-Ferrand; F-63000, France^1

[效力级别] 数学

[关键词] CW-complex;Differential methods