Towards adaptive discontinuous Petrov-Galerkin methods

P. Bringmann, C. Carstensen, D. Gallistl, F. Hellwig, D. Peterseim, S. Puttkammer, H. Rabus, J. Storn

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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)
Original languageEnglish
Pages (from-to)741-744
Number of pages4
JournalProceedings in Applied Mathematics and Mechanics
Volume16
DOIs
Publication statusPublished - 2016
Externally publishedYes
Event87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mahematiker-Vereinigung (DMV) 2016 - Braunschweig, Germany
Duration: 7 Mar 201611 Mar 2016
Conference number: 87
https://jahrestagung.gamm-ev.de/index.php/2016/joint-dmv-and-gamm-annual-meeting

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Bringmann, P., Carstensen, C., Gallistl, D., Hellwig, F., Peterseim, D., Puttkammer, S., ... Storn, J. (2016). Towards adaptive discontinuous Petrov-Galerkin methods. Proceedings in Applied Mathematics and Mechanics, 16, 741-744. https://doi.org/10.1002/pamm.201610359