A Nonlinear Least-squares Finite Element Method for the Monge-Ampere Equation

Explore a 51-minute conference talk presenting a nonlinear least-squares finite element method for solving the Monge-Ampere equation on convex planar domains. Delve into the innovative approach that utilizes a finite element space with unique degrees of freedom to ensure the convexity of approximate solutions. Learn about the method's application to the Dirichlet boundary value problem and its effectiveness in computing smooth convex solutions. Gain insights into advanced numerical techniques in computational mathematics and their practical implications for solving complex partial differential equations.