@article {2020,
	title = {A spectral element reduced basis method for navier{\textendash}stokes equations with geometric variations},
	journal = {Lecture Notes in Computational Science and Engineering},
	volume = {134},
	year = {2020},
	pages = {561-571},
	abstract = {<p>We consider the Navier-Stokes equations in a channel with a narrowing of varying height. The model is discretized with high-order spectral element ansatz functions, resulting in 6372 degrees of freedom. The steady-state snapshot solutions define a reduced order space through a standard POD procedure. The reduced order space allows to accurately and efficiently evaluate the steady-state solutions for different geometries. In particular, we detail different aspects of implementing the reduced order model in combination with a spectral element discretization. It is shown that an expansion in element-wise local degrees of freedom can be combined with a reduced order modelling approach to enhance computational times in parametric many-query scenarios.</p>},
	doi = {10.1007/978-3-030-39647-3_45},
	author = {Martin W. Hess and Annalisa Quaini and Gianluigi Rozza}
}
