Gerard Awanou
Published 2014-05-19, updated 2018-08-27Version 2
We prove the convergence of a hybrid discretization to the viscosity solution of the elliptic Monge-Ampere equation. The hybrid discretization uses a standard finite difference discretization in parts of the computational domain where the solution is expected to be smooth and a monotone scheme elsewhere. A motivation for the hybrid discretization is the lack of an appropriate Newton solver for the standard finite difference discretization on the whole domain.
Convergence of Variational Regularization Methods for Imaging on Riemannian Manifolds
Order of convergence of the finite element method for the $p(x)-$Laplacian
On the convergence of the quadratic method
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