Discontinuous Petrov-Galerkin (DPG) methods for convection-diffusion problems

  • Rob Stevenson (University of Amsterdam, Netherlands)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)


We discuss Petrov-Galerkin discretizations with optimal test spaces, or equivalently, least squares methods, for solving convection-dominated convection diffusion problems. In view of the expected occurrence of layers, we aim at methods that yield near-best approximations for the primal field variable in L2 by discontinuous piecewise polynomials. A necessary condition for obtaining a robust method is that it still applies in the limit of a vanishing diffusion. We compare some existing and new PG formulations in view of both these design principles, and illustrate our findings with some numerical comparisons.

The talk is based on joint work with Dirk Broersen (KdVI, Amsterdam).

10/28/13 10/30/13

Numerical Analysis and Scientific Computing

Universität Leipzig Felix-Klein-Hörsaal

Katja Heid

Jörg Lehnert

Jürgen Jost

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Felix Otto

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Harry Yserentant

Technische Universität Berlin