Guido Kanschat

Discontinuous Galerkin Methods for Viscous Incompressible Flow - Advances in Numerical Mathematics Guido Kanschat 2008 edition

Guido Kanschat reviews several discontinuous Galerkin schemes for elliptic and viscous flow problems. Setting out from Nitsche's method for weak boundary conditions, he studies the interior penalty and LDG methods. Combined with a stable advection discretization, they yield stable DG methods for linear flow problems of Stokes and Oseen type which are applies to the Navier-Stokes problem. The author not only presents the analytical tehcniques used to study these methods but also devotes a major discussion to the efficient neumerical solution of discrete problems.