Title:         Discontinuous Galerkin methods for elliptic problems

Authors:       Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, and Donatella Marini

Source:        in: "Discontinuous Galerkin Methods: Theory, Computation and
Applications" (B. Cockburn, G. Karniadakis, and C. W. Shu, eds.),
Lecture Notes in Computational Science and Engineering 11,
Springer-Verlag, New York, 2000, pp. 89-101.

Status:        Published

Abstract:      We provide a common framework for the understanding,
comparison, and analysis of several discontinuous Galerkin methods that
have been proposed for the numerical treatment of elliptic problems.
This class includes the recently introduced methods of Bassi and Rebay
(together with the variants proposed by Brezzi, Manzini, Marini, Pietra
and Russo), the local discontinuous Galerkin methods of Cockburn and
Shu, and the method of Baumann and Oden.  It also includes the
so-called  interior penalty methods developed some time ago by Douglas
and Dupont, Wheeler, Baker, and Arnold among others.

URL:           http://ima.umn.edu/~arnold/papers/dg.pdf