A SECOND ORDER IN TIME MODIFIED LAGRANGE-GALERKIN FINITE ELEMENT METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

作者：Bermejo R^*; Galan del Sastre P; Saavedra L

来源：SIAM Journal on Numerical Analysis, 2012, 50(6): 3084-3109.

DOI：10.1137/11085548X

• Lagrange-Galerkin
• Navier-Stokes equations
• mixed finite elements

We introduce a second order in time modified Lagrange-Galerkin (MLG) method for the time dependent incompressible Navier-Stokes equations. The main ingredient of the new method is the scheme proposed to calculate in a more efficient manner the Galerkin projection of the functions transported along the characteristic curves of the transport operator. We present error estimates for velocity and pressure in the framework of mixed finite elements when either the mini-element or the P2/P1 Taylor-Hood element are used.

• 出版日期2012