Title
A multilevel discontinuous Galerkin method
Abstract
A variable V-cycle preconditioner for an interior penalty finite element discretization for elliptic problems is presented. An analysis under a mild regularity assumption shows that the preconditioner is uniform. The interior penalty method is then combined with a discontinuous Galerkin scheme to arrive at a discretization scheme for an advection-diffusion problem, for which an error estimate is proved. A multigrid algorithm for this method is presented, and numerical experiments indicating its robustness with respect to diffusion coefficient are reported.
Related to
Institute for Mathematics and Its Applications>IMA Preprints Series
Series/Report Number
IMA Preprints Series;
1735
Suggested Citation
Gopalakrishnan, Jayadeep; Kanschat, Guido.
(2000).
A multilevel discontinuous Galerkin method.
Retrieved from the University of Minnesota Digital Conservancy,
https://hdl.handle.net/11299/3501.