Alexandre Caboussat

Error Indicators and Adaptivity for a Least-Squares Method Applied to the Monge-Ampère Equation

Abstract We introduce novel a posteriori error indicators for a nonlinear least-squares solver for smooth solutions of the Monge-Ampère equation on convex polygonal domains in $$\mathbb {R}^2$$ R 2 . The theoretical analysis is carried out for smooth solutions. At each iteration,...