335 IGPM335.pdf        February 2012
TITLE Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes
AUTHORS Joachim Schöberl, Christoph Lehrenfeld
ABSTRACT Hybrid discontinuos Galerkin methods are popular discretization methods in applications from fluid dynamics and many others. Often large scale linear systems arising from elliptic operators have to be solved. We show that standard p-version domain decomposition techniques can be applied, but we have to develop new technical tools to prove poly-logarithmic condition number estimates, in particular on tetrahedral meshes.
KEYWORDS hybrid Discontinuous Galerkin methods, p-version finite elements, domain decomposition
DOI 10.1007/978-3-642-30316-6_2
PUBLICATION Advanced Finite Element Methods and Applications : [dedicated to Ulrich Langer and Arnd Meyer] / Thomas Apel ; Olaf Steinbach
Lecture Notes in Applied and Computational Mechanics
66, 27-56 (2013)
CORRESPONDING AUTHOR Joachim Schöberl, Christoph Lehrenfeld