Title	Constraints and penalties for phase-field flows in \(\mathbb{R}^2\) and \(\mathbb{R}^N\)
Creator	Negri, Matteo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-03-08T09:01
Description	We present two gradient flow evolutions, both obtained with alternate schemes for separately-quadratic phase-field energies. The first, in the plane strain setting, features a monotonicity constraint (in time) and a multi-step scheme, for better numerical results. The second, in higher dimension, features instead a penalty method. In this case, strong compactness of the phase-field variable allows to characterize evolutions in terms of curves of maximal slope with respect to the penalty-metric.
Extent	38.0 minutes
Subject	Mathematics; Mechanics of deformable solids; Calculus of variations and optimal control; optimization; Applied mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Pavia
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-09-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0380809
URI	http://hdl.handle.net/2429/71621
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

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