Title	On analysis of discrete exterior calculus
Creator	Tsogtgerel, Gantumur
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-12T15:32
Description	Among the major applications of discrete exterior calculus (in the sense of Hirani et al) are discretization of the Hodge-Laplace operator and various related problems. However, convergence issues for those problems are not completely resolved; as far as we are aware, there is no proof of convergence except for the Poisson equation in two dimensions, which is immediate because the discrete problem is identical to the one that arises from affine finite elements. Moreover, even in two dimensions, there have been some puzzling numerical experiments reported in the literature, apparently suggesting that there is convergence without consistency.
Extent	36 minutes
Subject	Mathematics; Numerical analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: McGill University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-12-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0361775
URI	http://hdl.handle.net/2429/63881
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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