Integral equation methods for stokes flow and isotropic elasticity in the plane

Leslie Greengard, Mary Catherine Kropinski, Anita Mayo

Research output: Contribution to journalArticle

Abstract

We present a class of integral equation methods for the solution of biharmonic boundary value problems, with applications to two-dimensional Stokes flow and Isotropie elasticity. The domains may be multiply-connected and finite, infinite or semi-infinite in extent. Our analytic formulation is based on complex variables, and our fast multipole-based iterative solution procedure requires O(N) operations, where N is the number of nodes in the discretization of the boundary. The performance of the methods is illustrated with several large-scale numerical examples.

Original languageEnglish (US)
Pages (from-to)403-414
Number of pages12
JournalJournal of Computational Physics
Volume125
Issue number2
DOIs
StatePublished - May 1996

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complex variables
Stokes flow
iterative solution
boundary value problems
multipoles
Integral equations
integral equations
Elasticity
elastic properties
formulations
Boundary value problems

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

Integral equation methods for stokes flow and isotropic elasticity in the plane. / Greengard, Leslie; Kropinski, Mary Catherine; Mayo, Anita.

In: Journal of Computational Physics, Vol. 125, No. 2, 05.1996, p. 403-414.

Research output: Contribution to journalArticle

Greengard, Leslie ; Kropinski, Mary Catherine ; Mayo, Anita. / Integral equation methods for stokes flow and isotropic elasticity in the plane. In: Journal of Computational Physics. 1996 ; Vol. 125, No. 2. pp. 403-414.
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