Differentiation on spaces of triangulations and optimized triangulations
arXiv:1602.04790 · doi:10.1088/1742-6596/738/1/012088
Abstract
We describe a smooth structure, called Frölicher 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.