Volume 17, Issue 6
Finite Element Nonlinear Galerkin Coupling Method for the Exterior Steady Navier-Stokes Problem

Yin Nian He, Kai Tai Li & Fu Hai Gao

DOI:

J. Comp. Math., 17 (1999), pp. 595-608

Published online: 1999-12

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  • Abstract

In this paper we represent a new numerical method for solving the steady Navier-Stokes equations in three dimensional unbounded domain. The method consists in coupling the boundary integral and the finite element nonlinear Galerkin methods. An artificial smooth boundary is intrdouced seperating an interior inhomogeneous region from an exterior one. The Navier-Stokes equations in the exterior region are approximated by the Oseen equations and the approximate solution is represented by an integral equation over the artificial boundary. Moreover, a finite element nonlinear Galerkin method is used to approximate the resulting variational problem. Finally, the existence and error estimates are derived.

  • Keywords

Navier-Stokes equations Oseen equations Boundary integral Finite element Nonlinear Galerkin method

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@Article{JCM-17-595, author = {}, title = {Finite Element Nonlinear Galerkin Coupling Method for the Exterior Steady Navier-Stokes Problem}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {6}, pages = {595--608}, abstract = { In this paper we represent a new numerical method for solving the steady Navier-Stokes equations in three dimensional unbounded domain. The method consists in coupling the boundary integral and the finite element nonlinear Galerkin methods. An artificial smooth boundary is intrdouced seperating an interior inhomogeneous region from an exterior one. The Navier-Stokes equations in the exterior region are approximated by the Oseen equations and the approximate solution is represented by an integral equation over the artificial boundary. Moreover, a finite element nonlinear Galerkin method is used to approximate the resulting variational problem. Finally, the existence and error estimates are derived. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9130.html} }
TY - JOUR T1 - Finite Element Nonlinear Galerkin Coupling Method for the Exterior Steady Navier-Stokes Problem JO - Journal of Computational Mathematics VL - 6 SP - 595 EP - 608 PY - 1999 DA - 1999/12 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9130.html KW - Navier-Stokes equations KW - Oseen equations KW - Boundary integral KW - Finite element KW - Nonlinear Galerkin method AB - In this paper we represent a new numerical method for solving the steady Navier-Stokes equations in three dimensional unbounded domain. The method consists in coupling the boundary integral and the finite element nonlinear Galerkin methods. An artificial smooth boundary is intrdouced seperating an interior inhomogeneous region from an exterior one. The Navier-Stokes equations in the exterior region are approximated by the Oseen equations and the approximate solution is represented by an integral equation over the artificial boundary. Moreover, a finite element nonlinear Galerkin method is used to approximate the resulting variational problem. Finally, the existence and error estimates are derived.
Yin Nian He, Kai Tai Li & Fu Hai Gao. (1970). Finite Element Nonlinear Galerkin Coupling Method for the Exterior Steady Navier-Stokes Problem. Journal of Computational Mathematics. 17 (6). 595-608. doi:
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