@inbook {2019,
	title = {A Spectral Element Reduced Basis Method in Parametric CFD},
	booktitle = {Numerical Mathematics and Advanced Applications - ENUMATH 2017},
	volume = {126},
	year = {2019},
	publisher = {Springer International Publishing},
	organization = {Springer International Publishing},
	chapter = {A Spectral Element Reduced Basis Method in Parametric CFD},
	abstract = {<p>We consider the Navier-Stokes equations in a channel with varying Reynolds numbers. The model is discretized with high-order spectral element ansatz functions, resulting in 14 259 degrees of freedom. The steady-state snapshot solu- tions define a reduced order space, which allows to accurately evaluate the steady- state solutions for varying Reynolds number with a reduced order model within a fixed-point iteration. In particular, we compare different aspects of implementing the reduced order model with respect to the use of a spectral element discretization. It is shown, how a multilevel static condensation in the pressure and velocity boundary degrees of freedom can be combined with a reduced order modelling approach to enhance computational times in parametric many-query scenarios.</p>},
	doi = {10.1007/978-3-319-96415-7_64 pages = 693{\textendash}701},
	url = {https://arxiv.org/abs/1712.06432},
	author = {Martin W. Hess and Gianluigi Rozza},
	editor = {Radu, Florin Adrian and Kumar, Kundan and Berre, Inga and Nordbotten, Jan Martin and Pop, Iuliu Sorin}
}
