The Mathematical Institute, University of Oxford, Eprints Archive

Two Variational Techniques for the Approximation of Curves of Maximal Slope

Ortner, Christoph (2005) Two Variational Techniques for the Approximation of Curves of Maximal Slope. Technical Report. Unspecified. (Submitted)

[img]
Preview
PDF
376Kb

Abstract

This report generalizes several results on approximations of curves of maximal slope in the book by Ambrosio, Gigli and Savare (Gradient Flows, 2005), allowing general approximations of the functional and of the metric. The conditions guaranteeing the convergence of the approximations are closely related to the conditions of $\Gamma$-convergence. Complete convergence results are obtained for $\lambda$-convex functionals together with general results indicating a possible procedure for even more general problems.

The theory presented provides convergence results as well as explicit a-priori error estimates for gradient flows of functionals which may be non-convex as well as non-differentiable.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1143
Deposited By:Lotti Ekert
Deposited On:12 May 2011 08:34
Last Modified:12 May 2011 08:34

Repository Staff Only: item control page