Numerical studies of variational-type time-discretization techniques for transient Oseen problem

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Naveed Ahmed Gunar Matthies

Abstract

In this paper, we combine continuous Galerkin-Petrov (cGP) and discontinuous Galerkin (dG) time stepping schemes with local projection method applied to inf-sup stable discretization of the transient Oseen problem. Using variational-type time-discretization methods of polynomial degree k, we show that the cGP(k) and dG(k) methods are accurate of order k+1, in the whole time interval. Moreover, in the discrete time points, the cGP(k)-method is super convergent of order 2k and the dG(k)-method is of order 2k +1. Furthermore, the dependence of the results on the choice of the stabilization parameters are discussed. 

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AHMED, Naveed; MATTHIES, Gunar. Numerical studies of variational-type time-discretization techniques for transient Oseen problem. Proceedings of the Conference Algoritmy, [S.l.], p. 404-415, nov. 2015. Available at: <http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/351>. Date accessed: 22 oct. 2017.
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