Title	The forward-backward scheme for the minimizing total variation flow in $H^{-s}$.
Creator	Muszkieta, Monika
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-19T16:41
Description	In the talk, we consider a gradient flow of the total variation in the negative Sobolev space $H^{-s}$, $s\in[0,1]$, under the periodic boundary condition. We derive a dual formulation of a convex variational problem associated with a semi-implicit time discretization of this flow. Based on the forward-backward scheme, we construct a minimizing sequence of a given functional and discuss issues concerning its convergence. We also show and compare results of numerical experiments for simple initial data and different values of the index s. This is joint work with Y. Giga (University of Tokyo) and P. Rybka (University of Warsaw).
Extent	19.0
Subject	Mathematics; Partial differential equations; Numerical analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Wrocław University of Science and Technology
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376904
URI	http://hdl.handle.net/2429/68737
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos