@article {2016,
	title = {Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes},
	number = {AMOS Advanced Modelling and Simulation in Engineering Sciences},
	year = {2016},
	institution = {Springer, AMOS Advanced Modelling and Simulation in Engineering Sciences},
	abstract = {In this work we provide a combination of isogeometric analysis with reduced order modelling techniques, based on proper orthogonal decomposition, to guarantee computational reduction for the numerical model, and with free-form deformation, for versatile geometrical parametrization. We apply it to computational fluid dynamics problems considering a Stokes flow model. The proposed reduced order model combines efficient shape deformation and accurate and stable velocity and pressure approximation
for incompressible viscous flows, computed with a reduced order method.
Efficient offine-online computational decomposition is guaranteed in view of repetitive calculations for parametric design and optimization problems.
Numerical test cases show the efficiency and accuracy of the proposed reduced order model.},
	url = {http://urania.sissa.it/xmlui/handle/1963/35199},
	author = {Filippo Salmoiraghi and F. Ballarin and Luca Heltai and Gianluigi Rozza}
}
@article {JaggliIapichinoRozza2014,
	title = {An improvement on geometrical parameterizations by transfinite maps},
	journal = {Comptes Rendus Mathematique},
	volume = {352},
	number = {3},
	year = {2014},
	pages = {263{\textendash}268},
	abstract = {We present a method to generate a non-affine transfinite map from a given reference domain to a family of deformed domains. The map is a generalization of the Gordon-Hall transfinite interpolation approach. It is defined globally over the reference domain. Once we have computed some functions over the reference domain, the map can be generated by knowing the parametric expressions of the boundaries of the deformed domain. Being able to define a suitable map from a reference domain to a desired deformation is useful for the management of parameterized geometries.},
	doi = {10.1016/j.crma.2013.12.017},
	author = {J{\"a}ggli, C. and Laura Iapichino and Gianluigi Rozza}
}
