2 papers
math.NA2021
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…
math.NA2021
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…