00412nas a2200109 4500008004100000245006200041210006200103300001400165490000800179100002000187856009500207 2021 eng d00aAsymptotic approach to a rotational Taylor swimming sheet0 aAsymptotic approach to a rotational Taylor swimming sheet a103–1160 v3491 aCorsi, Giovanni uhttps://www.math.sissa.it/publication/asymptotic-approach-rotational-taylor-swimming-sheet00495nas a2200157 4500008004100000245007500041210006900116260001500185300001300200490000800213100002000221700002200241700001600263700001500279856004300294 2019 eng d00aA neutrally stable shell in a Stokes flow: a rotational Taylor's sheet0 aneutrally stable shell in a Stokes flow a rotational Taylors she c2019/07/26 a201901780 v4751 aCorsi, Giovanni1 aDeSimone, Antonio1 aMaurini, C.1 aVidoli, S. uhttps://doi.org/10.1098/rspa.2019.017802105nas a2200217 4500008004100000245018600041210006900227260003600296520123100332100002501563700001701588700002001605700001701625700001901642700002101661700002101682700002101703700001701724700001601741856013001757 2016 en d00aAdvances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives0 aAdvances in geometrical parametrization and reduced order models aCrete, GreecebECCOMASc06/20163 a
Several problems in applied sciences and engineering require reduction techniques in order to allow computational tools to be employed in the daily practice, especially in iterative procedures such as optimization or sensitivity analysis. Reduced order methods need to face increasingly complex problems in computational mechanics, especially into a multiphysics setting. Several issues should be faced: stability of the approximation, efficient treatment of nonlinearities, uniqueness or possible bifurcations of the state solutions, proper coupling between fields, as well as offline-online computing, computational savings and certification of errors as measure of accuracy. Moreover, efficient geometrical parametrization techniques should be devised to efficiently face shape optimization problems, as well as shape reconstruction and shape assimilation problems. A related aspect deals with the management of parametrized interfaces in multiphysics problems, such as fluid-structure interaction problems, and also a domain decomposition based approach for complex parametrized networks. We present some illustrative industrial and biomedical problems as examples of recent advances on methodological developments.
1 aSalmoiraghi, Filippo1 aBallarin, F.1 aCorsi, Giovanni1 aMola, Andrea1 aTezzele, Marco1 aRozza, Gianluigi1 aPapadrakakis, M.1 aPapadopoulos, V.1 aStefanou, G.1 aPlevris, V. uhttps://www.math.sissa.it/publication/advances-geometrical-parametrization-and-reduced-order-models-and-methods-computational