Towards adaptive discontinuous Petrov-Galerkin methods

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

doi:10.1002/pamm.201610359

Towards adaptive discontinuous Petrov-Galerkin methods

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

Research output: Contribution to journal › Conference article › Academic › peer-review

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 language	English
Pages (from-to)	741-744
Number of pages	4
Journal	Proceedings in Applied Mathematics and Mechanics
Volume	16
DOIs	https://doi.org/10.1002/pamm.201610359
Publication status	Published - 2016
Externally published	Yes
Event	87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mahematiker-Vereinigung (DMV) 2016 - Braunschweig, Germany Duration: 7 Mar 2016 → 11 Mar 2016 Conference number: 87 https://jahrestagung.gamm-ev.de/index.php/2016/joint-dmv-and-gamm-annual-meeting

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10.1002/pamm.201610359

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title = "Towards adaptive discontinuous Petrov-Galerkin methods",

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. ({\textcopyright} 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)",

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

year = "2016",

doi = "10.1002/pamm.201610359",

language = "English",

volume = "16",

pages = "741--744",

journal = "Proceedings in Applied Mathematics and Mechanics",

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note = "87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mahematiker-Vereinigung (DMV) 2016 ; Conference date: 07-03-2016 Through 11-03-2016",

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T1 - Towards adaptive discontinuous Petrov-Galerkin methods

AU - Bringmann, P.

AU - Carstensen, C.

AU - Gallistl, D.

AU - Hellwig, F.

AU - Peterseim, D.

AU - Puttkammer, S.

AU - Rabus, H.

AU - Storn, J.

N1 - Conference code: 87

PY - 2016

Y1 - 2016

N2 - 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)

AB - 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)

U2 - 10.1002/pamm.201610359

DO - 10.1002/pamm.201610359

M3 - Conference article

SN - 1617-7061

VL - 16

SP - 741

EP - 744

JO - Proceedings in Applied Mathematics and Mechanics

JF - Proceedings in Applied Mathematics and Mechanics

T2 - 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mahematiker-Vereinigung (DMV) 2016

Y2 - 7 March 2016 through 11 March 2016

ER -

Towards adaptive discontinuous Petrov-Galerkin methods

Abstract

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