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
SN - 0021-9991
VL - 125
SP - 403
EP - 414
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 2
ER -