Please use this identifier to cite or link to this item:
|Title:||Norm Preconditioners for discontinuous Galerkin hp-Finite Element methods.|
|Authors:||Georgoulis, Emmanuil H.|
|Publisher:||Dept. of Mathematics, University of Leicester.|
|Abstract:||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.|
|Series/Report no.:||MA 06-010|
|Appears in Collections:||Reports, Dept. of Mathematics|
Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.