摘要
Abstract In this article we briefly studied the fictitious domain methods for steady and nonsteady Navier-Stokes equations based on Penalty factorεon the extended domain. The convergence u<sup>?</sup>→u in H<sub>0</sub><sup>1</sup>（Ω）<sup>d</sup> and L<sup>2</sup>（Ω）<sup>d</sup>（d=2,3） is given as well as p<sup>?</sup>→p in L<sub>0</sub><sup>2</sup>（Ω）.
In this article we briefly studied the fictitious domain methods for steady and nonsteady Navier-Stokes equations based on Penalty factor ε on the extended domain. The convergence u^2→u in H^1_0(Ω) and L2(Ω)_d(d=2,3) is given as well as p~→@@ in L^2_0(Ω).
