Oberwolfach Reports

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Volume 9, Issue 1, 2012, pp. 555–609
DOI: 10.4171/OWR/2012/10

Theory and Applications of Discontinuous Galerkin Methods

Susanne C. Brenner[1], Ronald H.W. Hoppe[2] and Béatrice Rivière[3]

(1) Department of Mathematics, Louisiana State University, LA 70803-4918, Baton Rouge, USA
(2) Lehrstuhl für Angewandte Mathematik I, Universität Augsburg, Universitätsstr. 14, 86159, Augsburg, Germany
(3) Department of Mathematics, Rice University, 6100 S. Main St., TX 77005-1892, Houston, USA

The workshop was organized by Susanne C. Brenner (Louisiana State University), Ronald Hoppe (University of Houston, Augsburg University) and Béatrice Rivière (Rice University). There were twenty-one lectures. The meeting was well attended with participants from Europe, England, North America and India. Both theoretical and computational talks on state-of-the-art discontinuous Galerkin methods were given by leading experts as well as by promising young mathematicians. The workshop addressed important issues in the development of discontinuous Galerkin methods. These issues include (but are not limited to) the formulation of more efficient methods with fewer number of degrees of freedom, the formulation of methods for coupled problems, the analysis of guaranteed a posteriori error estimation, and faster and accurate solvers. Scientific discussions continued in the evening among smaller groups of participants.

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Brenner Susanne, Hoppe Ronald, Rivière Béatrice: Theory and Applications of Discontinuous Galerkin Methods. Oberwolfach Rep. 9 (2012), 555-609. doi: 10.4171/OWR/2012/10