For more information about this meeting, contact Xiaozhe Hu, Fei Wang, Hope Shaffer, Jinchao Xu, Toan Nguyen.
|Title:||W-cycle algorithms for hp-Discontinuous Galerkin discretizations|
|Seminar:||CCMA PDEs and Numerical Methods Seminar Series|
|Speaker:||Marco Sarti, Politecnico di Milano|
|In this talk I will discuss the main issues regarding the application of multigrid algorithms to high order Discontinuous Galerkin discretizations. I will first briefly introduce several Discontinuous Galerkin schemes for the Poisson equation, recalling some standard results regarding the well posedness of the problem and the error estimates. Then I will analyze the multilevel framework and underline the main differences with the conforming case. I will show that, employing standard smoothing schemes, we can recover the well known uniformity of the rate of convergence with respect to the mesh size and the number of levels, but the dependence on the polyonomial order employed cannot be eliminated. The theoretical estimates are then supported by several numerical tests on two and three dimensional model problems.|
Room Reservation Information
|Date:||02 / 21 / 2014|
|Time:||03:30pm - 05:00pm|