335 | RWTH Publication No: 47265 2012   IGPM335.pdf |
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 |