Linear variational principle for Riemann mappings and discrete conformality [Applied Mathematics]

We consider Riemann mappings from bounded Lipschitz domains in the plane to a triangle. We show that in this case the Riemann mapping has a linear variational principle: It is the minimizer of the Dirichlet energy over an appropriate affine space. By discretizing the variational principle in a natural way...

Source: Proceedings of the National Academy of Sciences - January 15, 2019 Category: Science Authors: Nadav Dym, Raz Slutsky, Yaron Lipman Tags: Physical Sciences Source Type: research