TY - JOUR

T1 - Integral equation methods for stokes flow and isotropic elasticity in the plane

AU - Greengard, Leslie

AU - Kropinski, Mary Catherine

AU - Mayo, Anita

N1 - Funding Information:
1Supported by the Applied Mathematical Sciences Program of the U.S. Department of Energy under Contract DEFGO288ER25053, by a NSF Presidential Young Investigator Award, and by a Packard Foundation Fellowship.
Funding Information:
2 Supported by the Visiting Members Program of the Courant Institute and by the Office of Naval Research Grant N00014-94-1-0419. Current address: Department of Mathematics and Statistics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6.

PY - 1996/5

Y1 - 1996/5

N2 - 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.

AB - 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.

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U2 - 10.1006/jcph.1996.0102

DO - 10.1006/jcph.1996.0102

M3 - Article

AN - SCOPUS:0030140338

VL - 125

SP - 403

EP - 414

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 2

ER -