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The Coupling Of Boundary Integral And Finite Element Methods For The Navier-Stokes Equations In An Exterior Domain

Kai-tai Li 1, Yin-nian He 1

1 Institute for Computational and Applied Mathematics, Xi'an Jiaotong University, Xi'an, Shanxi

Revised Online 2006-11-29
Abstract

In this paper, a technique of coupling variational formulation of FEM and BIE(boundary integral equation) is used to deal with stationary Navier-Stokes equations in an unbounded domain. We discuss well-posedness for the coupling variational problem, the regularization method and FEM-BEM approximation. Finally, operator splitting and optimal control techniques are used to treat the difficulty of nonlinearity and constraints in computer implementation.

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