»ã±¨±êÌâ (Title)£ºDifference finite element method for 3D incompressible N-S equations

»ã±¨ÈË (Speaker)£º·ëÐÂÁú ½ÌÊÚ£¨Ð½®´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê8ÔÂ27ÈÕ (ÖÜÈÕ) 10:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿E421

Ô¼ÇëÈË(Inviter)£ºÁõ¼ûÀñ

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ÌáÒª£º In this work, a difference finite element (DFE) method is presented for 3D incompressible Navier-Stokes(N-S) equations. This new method consists of transmitting the FE solution of 3D steady N-S equations into a series of the FE solution of 2D steady Oseen iterative equations, which are solved by using the FE pair (P1b,P1b,P1)¡ÁP1 satisfying the discrete LBB condition in 2D domain. Moreover, we use FE pair ((P1b,P1b,P1)¡ÁP1)¡Á(P1¡ÁP0) to solve 3D Oseen iterative equations, where the pair satisfies the discrete LBB condition in 3D domain. Next, we provide the existence and uniqueness of the DFE solutions of 3D Oseen iterative equations and deduce the convergence of the DFE solutions to the exact solution of 3D problems. Finally, numerical examples are presented to show the accuracy and effectiveness.