The Coupling of Boundary Integral and Finite Element Methods for the Navier-Stokes Equations in an Exterior Domain

The Coupling of Boundary Integral and Finite Element Methods for the Navier-Stokes Equations in an Exterior Domain

Year:    1989

Author:    Kai-Tai Li, Yin-Nian He

Journal of Computational Mathematics, Vol. 7 (1989), Iss. 2 : pp. 157–173

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1989-JCM-9466

Journal of Computational Mathematics, Vol. 7 (1989), Iss. 2 : pp. 157–173

Published online:    1989-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

Author Details

Kai-Tai Li

Yin-Nian He