uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Automatically stable discontinuous Petrov–Galerkin methods for stationary transport problems: Quasi-optimal test space norm
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2013 (English)In: Computers & Mathematics with Applications, ISSN 0898-1221Article in journal (Refereed) Published
Abstract [en]

We investigate the application of the discontinuous Petrov–Galerkin (DPG) finite element framework to stationary convection–diffusion problems. In particular, we demonstrate how the quasi-optimal test space norm improves the robustness of the DPG method with respect to vanishing diffusion. We numerically compare coarse-mesh accuracy of the approximation when using the quasi-optimal norm, the standard norm, and the weighted norm. Our results show that the quasi-optimal norm leads to more accurate results on three benchmark problems in two spatial dimensions. We address the problems associated to the resolution of the optimal test functions with respect to the quasi-optimal norm by studying their convergence numerically. In order to facilitate understanding of the method, we also include a detailed explanation of the methodology from the algorithmic point of view.

Place, publisher, year, edition, pages
2013.
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-287791DOI: 10.1016/j.camwa.2013.07.016OAI: oai:DiVA.org:uu-287791DiVA: diva2:923459
Available from: 2016-04-26 Created: 2016-04-26 Last updated: 2016-04-26

Open Access in DiVA

No full text

Other links

Publisher's full texthttp://www.sciencedirect.com/science/article/pii/S0898122113004446?np=y

Search in DiVA

By author/editor
Niemi, Antti
By organisation
Theoretical Physics
Subatomic Physics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 182 hits
ReferencesLink to record
Permanent link

Direct link