Speaker
Niklas Eidecker
Description
The talk is concerned with the numerical analysis of the Beckmann problem of optimal transport. We apply a quadratic regularization of the Beckmann problem and discretize the regularized problem by means of Raviart Thomas finite elements. Moreover, we provide a priori estimates of regularization and discretization error for the minimal objective value. Together with H²-regularity estimates for the regularized solution, these estimates allow an error balancing resulting in an optimal coupling of regularization parameter and mesh size. Numerical tests confirm the theoretical findings.
