Marco Picasso

A Recovery-Based Error Indicator for Finite Difference Methods

Abstract A novel recovery-based error indicator for high-order Finite Difference Methods, based on post-processing of the Finite Difference values is presented. The values obtained on the Finite Difference grid are interpolated into a suitable polynomial Finite Element space. A r...

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,...