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Volume 7, Issue 2
The Coupling of Boundary Integral and Finite Element Methods for the Navier-Stokes Equations in an Exterior Domain

Kai-Tai Li & Yin-Nian He

J. Comp. Math., 7 (1989), pp. 157-173.

Published online: 1989-07

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  • 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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@Article{JCM-7-157, author = {Li , Kai-Tai and He , Yin-Nian}, title = {The Coupling of Boundary Integral and Finite Element Methods for the Navier-Stokes Equations in an Exterior Domain}, journal = {Journal of Computational Mathematics}, year = {1989}, volume = {7}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9466.html} }
TY - JOUR T1 - The Coupling of Boundary Integral and Finite Element Methods for the Navier-Stokes Equations in an Exterior Domain AU - Li , Kai-Tai AU - He , Yin-Nian JO - Journal of Computational Mathematics VL - 2 SP - 157 EP - 173 PY - 1989 DA - 1989/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9466.html KW - AB -

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.

Li , Kai-Tai and He , Yin-Nian. (1989). The Coupling of Boundary Integral and Finite Element Methods for the Navier-Stokes Equations in an Exterior Domain. Journal of Computational Mathematics. 7 (2). 157-173. doi:
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