Axel G. R. Turnquist

collaborators

2 papers

math.AP2024

Optimal Transport Using Cost Functions with Preferential Direction with Applications to Optics Inverse Problems

We focus on Optimal Transport PDE on the unit sphere $S^{2}$ with a particular type of cost function $c (x, y) = F (x \cdot y, x \cdot e^, y \cdot e^)$ which we call…

math.NA2021

Adaptive Mesh Methods on Compact Manifolds via Optimal Transport and Optimal Information Transport

Axel G. R. Turnquist

Moving mesh methods are designed to redistribute a mesh in a regular way. This applied problem can be considered to overlap with the problem of finding a diffeomorphic mapping betw…