1 citations · 1 across the 2 of their papers we have counts for
5 papers
A Convergent Numerical Method for the Reflector Antenna Problem via Optimal Transport on the Sphere
Brittany Froese Hamfeldt, Axel G R Turnquist
We consider a PDE approach to numerically solving the reflector antenna problem by solving an Optimal Transport problem on the unit sphere with cost function $c(x,y) = -2\log \left…
A Convergent Finite Difference Method for Optimal Transport on the Sphere
Brittany Froese Hamfeldt, Axel G. R. Turnquist
We introduce a convergent finite difference method for solving the optimal transportation problem on the sphere. The method applies to both the traditional squared geodesic cost (a…
Convergent Finite Difference Methods for Fully Nonlinear Elliptic Equations in Three Dimensions
Brittany Froese Hamfeldt, Jacob Lesniewski
We introduce a generalized finite difference method for solving a large range of fully nonlinear elliptic partial differential equations in three dimensions. Methods are based on C…
A convergence framework for optimal transport on the sphere
Brittany Froese Hamfeldt, Axel G. R. Turnquist
We consider a PDE approach to numerically solving the optimal transportation problem on the sphere. We focus on both the traditional squared geodesic cost and a logarithmic cost, w…
A convergent finite difference method for computing minimal Lagrangian graphs
Brittany Froese Hamfeldt, Jacob Lesniewski
We consider the numerical construction of minimal Lagrangian graphs, which is related to recent applications in materials science, molecular engineering, and theoretical physics. I…