Axel G. R. Turnquist

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20212026

most citedA Convergent Numerical Method for the Reflector Antenna Problem via Optimal Transport on the Sphere

1 citations · 1 across the 9 of their papers we have counts for

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math.AP2024

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

Axel G. R. Turnquist

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.AP2023

Optimal Transport with Defective Cost Functions with Applications to the Lens Refractor Problem

Axel G. R. Turnquist

We define and discuss the properties of a class of cost functions on the sphere which we term defective cost functions. We then discuss how to extend these definitions and some pro…