Numerical Analysis Seminar

Seminar information archive ~04/01Next seminarFuture seminars 04/02~

Date, time & place Tuesday 16:30 - 18:00 056Room #056 (Graduate School of Math. Sci. Bldg.)


16:30-18:00   Room #056 (Graduate School of Math. Sci. Bldg.)
Eric Chung (Chinese University of Hong Kong)
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations (English)
[ Abstract ]
In this talk, we present a staggered discontinuous Galerkin method for the approximation of the incompressible Navier-Stokes equations. Our new method combines the advantages of discontinuous Galerkin methods and staggered meshes, and results in many good properties, namely local and global conservations, optimal convergence and superconvergence through the use of a local postprocessing technique. Another key feature is that our method provides a skew-symmetric discretization of the convection term, with the aim of giving a better conservation property compared with existing discretizations. We also analyze the stability and convergence of the method. In addition, we will present some numerical results to show the performance of the proposed method.