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- Title
Towards adaptive discontinuous Petrov-Galerkin methods.
- Authors
Bringmann, P.; Carstensen, C.; Gallistl, D.; Hellwig, F.; Peterseim, D.; Puttkammer, S.; Rabus, H.; Storn, J.
- Abstract
The discontinuous Petrov-Galerkin (dPG) method is a minimum residual method with broken test functions for instant stability. The methodology is written in an abstract framework with product spaces. It is applied to the Poisson model problem, the Stokes equation, and linear elasticity with low-order discretizations. The computable residuum leads to guaranteed error bounds and motivates adaptive refinements. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
- Subjects
GALERKIN methods; MATHEMATICAL functions; STABILITY theory; POISSON algebras; STOKES equations
- Publication
PAMM: Proceedings in Applied Mathematics & Mechanics, 2016, Vol 16, Issue 1, p741
- ISSN
1617-7061
- Publication type
Article
- DOI
10.1002/pamm.201610359