@article {PacciariniRozza2014,
	title = {Stabilized reduced basis method for parametrized advection-diffusion PDEs},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	volume = {274},
	year = {2014},
	pages = {1{\textendash}18},
	abstract = {<p>In this work, we propose viable and efficient strategies for the stabilization of the reduced basis approximation of an advection dominated problem. In particular, we investigate the combination of a classic stabilization method (SUPG) with the Offline-Online structure of the RB method. We explain why the stabilization is needed in both stages and we identify, analytically and numerically, which are the drawbacks of a stabilization performed only during the construction of the reduced basis (i.e. only in the Offline stage). We carry out numerical tests to assess the performances of the {\textquoteleft}{\textquoteleft}double{\textquoteright}{\textquoteright} stabilization both in steady and unsteady problems, also related to heat transfer phenomena.</p>},
	doi = {10.1016/j.cma.2014.02.005},
	author = {Pacciarini, P. and Gianluigi Rozza}
}
@conference {PacciariniRozza2014a,
	title = {Stabilized reduced basis method for parametrized scalar advection-diffusion problems at higher P{\'e}clet number: Roles of the boundary layers and inner fronts},
	booktitle = {11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014},
	year = {2014},
	pages = {5614{\textendash}5624},
	abstract = {<p>Advection-dominated problems, which arise in many engineering situations, often require a fast and reliable approximation of the solution given some parameters as inputs. In this work we want to investigate the coupling of the reduced basis method - which guarantees rapidity and reliability - with some classical stabilization techiques to deal with the advection-dominated condition. We provide a numerical extension of the results presented in [1], focusing in particular on problems with curved boundary layers and inner fronts whose direction depends on the parameter.</p>},
	url = {https://infoscience.epfl.ch/record/203327/files/ECCOMAS_PP_GR.pdf},
	author = {Pacciarini, P. and Gianluigi Rozza}
}
