MA-06-010.pdf (219.03 kB)
Download file

Norm Preconditioners for discontinuous Galerkin hp-Finite Element methods.

Download (219.03 kB)
report
posted on 26.02.2009, 15:53 by Emmanuil H. Georgoulis, Daniel Loghin
We consider a norm-preconditioning approach for the solution of discontinuous Galerkin finite element discretizations of second order PDE with non-negative characteristic form. In particular, we perform an analysis for the general case of discontinuous hp-finite element discretizations. Our solution method is a norm-preconditioned three-term GMRES routine. We find that for symmetric positive-definite diffusivity tensors the convergence of our solver is independent of discretization, while for the semidefinite case both theory and experiment indicate dependence on both h and p. Numerical results are included to illustrate performance on several test cases.

History

Publisher

Dept. of Mathematics, University of Leicester.

Available date

26/02/2009

Publisher version

http://www2.le.ac.uk/departments/mathematics/extranet/research-material/reports/res_rep06

Book series

MA 06-010

Language

en

Usage metrics

Categories

Keywords

Exports