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Title	Fast and accurate evaluation of boundary integrals in 3D Stokes flow
Creator	Svetlana Tlupova
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-17T09:33
Description	We present a numerical method for computing the Stokeslet and stresslet integrals in Stokes flow, motivated by applications such as swimming of microorganisms, particle and drop motion, or biomembrane and red blood cell mechanics. Evaluating the integrals accurately for points near the boundary, e.g., when two interfaces are close together, is the most difficult case. The accurate solution is obtained by regularizing the kernels and adding analytically derived correction terms to eliminate the largest error. On the surface, high order regularizations are designed so that corrections are not required. To evaluate the resulting sums efficiently, we developed a kernel-independent treecode based on barycentric Lagrange interpolation.
Extent	33.0 minutes
Subject	Mathematics Numerical Analysis, Partial Differential Equations, Women And Early Careers In Math
Geographic Location	Banff (Alta.)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: Farmingdale State College
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385506
URI	http://hdl.handle.net/2429/72280
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository	DSpace

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