"CONVERGENCE OF THE BOUNDARY INTEGRAL METHOD FOR INTERFACIAL STOKES FLO" by David M. Ambrose, Michael Siegel et al.
 

CONVERGENCE OF THE BOUNDARY INTEGRAL METHOD FOR INTERFACIAL STOKES FLOW

Document Type

Article

Publication Date

3-1-2023

Abstract

Abstract. Boundary integral numerical methods are among the most accurate methods for interfacial Stokes flow, and are widely applied. They have the advantage that only the boundary of the domain must be discretized, which reduces the number of discretization points and allows the treatment of complicated interfaces. Despite their popularity, there is no analysis of the convergence of these methods for interfacial Stokes flow. In practice, the stability of discretizations of the boundary integral formulation can depend sensitively on details of the discretization and on the application of numerical filters. We present a convergence analysis of the boundary integral method for Stokes flow, focusing on a rather general method for computing the evolution of an elastic capsule or viscous drop in 2D strain and shear flows. The analysis clarifies the role of numerical filters in practical computations.

Identifier

85145930050 (Scopus)

Publication Title

Mathematics of Computation

External Full Text Location

https://doi.org/10.1090/mcom/3787

ISSN

00255718

First Page

695

Last Page

748

Issue

340

Volume

92

Grant

DMS-1907684

Fund Ref

National Science Foundation

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