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| File | Size | Format | |
|---|---|---|---|
| 878872167.pdf | 601,76 kB | Adobe PDF | View/Open |
| Title: | A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems |
| Authors: | Ahmed, Naveed; John, Volker; Matthies, Gunar; Novo, Julia |
| URI: | https://doi.org/10.34657/1833 https://oa.tib.eu/renate/handle/123456789/2266 |
| Issue Date: | 2016 |
| Published in: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2347, ISSN 2198-5855 |
| Journal: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Volume: | 2347 |
| Publisher: | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Abstract: | The local projection stabilization (LPS) method in space is considered to approximate the evolutionary Oseen equations. Optimal error bounds independent of the viscosity parameter are obtained in the continuous-in-time case for the approximations of both velocity and pressure. In addition, the fully discrete case in combination with higher order continuous Galerkin-Petrov (cGP) methods is studied. Error estimates of order k + 1 are proved, where k denotes the polynomial degree in time, assuming that the convective term is time-independent. Numerical results show that the predicted order is also achieved in the general case of time-dependent convective terms. |
| Keywords: | Evolutionary Oseen problem; inf-sup stable pairs of finite element spaces; local projection stabilization (LPS) methods; continuous Galerkin–Petrov (cGP) methods |
| Type: | report; Text |
| Publishing status: | publishedVersion |
| DDC: | 510 |
| License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
| Appears in Collections: | Mathematik |
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Ahmed, Naveed, Volker John, Gunar Matthies and Julia Novo, 2016. A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Ahmed, N., John, V., Matthies, G. and Novo, J. (2016) A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
Ahmed N, John V, Matthies G, Novo J. A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Vol. 2347. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 2016.
Ahmed, N., John, V., Matthies, G., & Novo, J. (2016). A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems (Version publishedVersion, Vol. 2347). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
Ahmed N, John V, Matthies G, Novo J. A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Vol. 2347. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik; 2016.
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