{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,26]],"date-time":"2025-12-26T13:04:06Z","timestamp":1766754246189,"version":"3.37.3"},"reference-count":61,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,7,20]],"date-time":"2016-07-20T00:00:00Z","timestamp":1468972800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"INDAM-GNCS","award":["2015"],"award-info":[{"award-number":["2015"]}]},{"name":"PAR FSC UBE","award":["2014-2016"],"award-info":[{"award-number":["2014-2016"]}]},{"name":"PAR FSC OpenViewShip","award":["2014-2016"],"award-info":[{"award-number":["2014-2016"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv. Model. and Simul. in Eng. Sci."],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1186\/s40323-016-0076-6","type":"journal-article","created":{"date-parts":[[2016,7,20]],"date-time":"2016-07-20T09:39:41Z","timestamp":1469007581000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes"],"prefix":"10.1186","volume":"3","author":[{"given":"Filippo","family":"Salmoiraghi","sequence":"first","affiliation":[]},{"given":"Francesco","family":"Ballarin","sequence":"additional","affiliation":[]},{"given":"Luca","family":"Heltai","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0810-8812","authenticated-orcid":false,"given":"Gianluigi","family":"Rozza","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,7,20]]},"reference":[{"key":"76_CR1","volume-title":"Certified reduced basis methods for parametrized partial differential equations. SpringerBriefs in mathematics","author":"JS Hesthaven","year":"2015","unstructured":"Hesthaven JS, Rozza G, Stamm B. Certified reduced basis methods for parametrized partial differential equations. SpringerBriefs in mathematics. Berlin: Springer; 2015."},{"key":"76_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF03024948","volume":"15","author":"G Rozza","year":"2008","unstructured":"Rozza G, Huynh DBP, Patera AT. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Arch Comput Methods Eng. 2008;15:1\u201347.","journal-title":"Arch Comput Methods Eng"},{"issue":"4","key":"76_CR3","doi-asserted-by":"crossref","first-page":"1419","DOI":"10.1137\/S1064827598333181","volume":"21","author":"EA Christensen","year":"1999","unstructured":"Christensen EA, Br\u00f8ns M, S\u00f8rensen JN. Evaluation of proper orthogonal decomposition-based decomposition techniques applied to parameter-dependent nonturbulent flows. SIAM J Sci Comput. 1999;21(4):1419\u201334.","journal-title":"SIAM J Sci Comput"},{"key":"76_CR4","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1002\/1097-0363(20001115)34:5<425::AID-FLD67>3.0.CO;2-W","volume":"34","author":"SS Ravindran","year":"2000","unstructured":"Ravindran SS. A reduced-order approach for optimal control of fluids using proper orthogonal decomposition. Int J Numer Methods Fluids. 2000;34:425\u201348.","journal-title":"Int J Numer Methods Fluids"},{"issue":"2","key":"76_CR5","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1137\/S0036142900382612","volume":"40","author":"K Kunisch","year":"2002","unstructured":"Kunisch K, Volkwein S. Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. SIAM J Numer Anal. 2002;40(2):492\u2013515.","journal-title":"SIAM J Numer Anal"},{"issue":"4","key":"76_CR6","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1007\/s11831-011-9064-7","volume":"18","author":"F Chinesta","year":"2011","unstructured":"Chinesta F, Ladeveze P, Cueto E. A short review on model order reduction based on proper generalized decomposition. Arch Comput Methods Eng. 2011;18(4):395\u2013404.","journal-title":"Arch Comput Methods Eng"},{"key":"76_CR7","volume-title":"The proper generalized decomposition for advanced numerical simulations: a primer","author":"F Chinesta","year":"2013","unstructured":"Chinesta F, Keunings R, Leygue A. The proper generalized decomposition for advanced numerical simulations: a primer. Berlin: Springer; 2013."},{"key":"76_CR8","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1007\/978-3-540-69777-0_84","volume-title":"Numerical mathematics and advanced applications","author":"A Ern","year":"2008","unstructured":"Ern A, Perotto S, Veneziani A. Hierarchical model reduction for advection-diffusion-reaction problems. In: Kunisch K, Of G, Steinbach O, editors. Numerical mathematics and advanced applications. Berlin: Springer; 2008. p. 703\u201310."},{"issue":"4","key":"76_CR9","doi-asserted-by":"crossref","first-page":"1102","DOI":"10.1137\/090756624","volume":"8","author":"S Perotto","year":"2010","unstructured":"Perotto S, Ern A, Veneziani A. Hierarchical local model reduction for elliptic problems: a domain decomposition approach. Mult Model Simul. 2010;8(4):1102\u201327.","journal-title":"Mult Model Simul"},{"issue":"1","key":"76_CR10","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1186\/s40323-015-0046-4","volume":"2","author":"S Perotto","year":"2015","unstructured":"Perotto S, Zilio A. Space-time adaptive hierarchical model reduction for parabolic equations. Adv Model Simul Eng Sci. 2015;2(1):25.","journal-title":"Adv Model Simul Eng Sci"},{"key":"76_CR11","doi-asserted-by":"crossref","unstructured":"Quarteroni A, Rozza, G. Reduced order methods for modeling and computational reduction. Vol. 9. Berlin: Springer; 2014.","DOI":"10.1007\/978-3-319-02090-7"},{"issue":"1","key":"76_CR12","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1115\/1.1448332","volume":"124","author":"C Prud\u2019homme","year":"2002","unstructured":"Prud\u2019homme C, Rovas DV, Veroy K, Machiels L, Maday Y, Patera AT, Turinici G. Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bound methods. J Fluids Eng. 2002;124(1):70\u201380.","journal-title":"J Fluids Eng"},{"issue":"1","key":"76_CR13","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1051\/m2an:2005006","volume":"39","author":"MA Grepl","year":"2005","unstructured":"Grepl MA, Patera AT. A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. ESAIM: M2AN. 2005;39(1):157\u201381.","journal-title":"ESAIM: M2AN"},{"issue":"8","key":"76_CR14","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1002\/fld.867","volume":"47","author":"K Veroy","year":"2005","unstructured":"Veroy K, Patera A. Certified real-time solution of the parametrized steady incompressible Navier\u2013Stokes equations: rigorous reduced-basis a posteriori error bounds. Int J Numer Methods Fluids. 2005;47(8):773\u201388.","journal-title":"Int J Numer Methods Fluids"},{"issue":"1","key":"76_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/2190-5983-1-1","volume":"1","author":"A Quarteroni","year":"2011","unstructured":"Quarteroni A, Rozza G, Manzoni A. Certified reduced basis approximation for parametrized partial differential equations and applications. J Math Ind. 2011;1(1):1\u201349.","journal-title":"J Math Ind"},{"issue":"2","key":"76_CR16","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1051\/m2an:2008001","volume":"42","author":"B Haasdonk","year":"2008","unstructured":"Haasdonk B, Ohlberger M. Reduced basis method for finite volume approximations of parametrized linear evolution equations. ESAIM: Math Model Numer Anal. 2008;42(2):277\u2013302.","journal-title":"ESAIM: Math Model Numer Anal"},{"key":"76_CR17","first-page":"145","volume":"32","author":"M Ohlberger","year":"2008","unstructured":"Ohlberger M, Haasdonk B, Rozza G. A reduced basis method for evolution schemes with parameter-dependent explicit operators. Electron Trans Numer Anal. 2008;32:145\u201361.","journal-title":"Electron Trans Numer Anal"},{"issue":"2","key":"76_CR18","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1137\/10081157X","volume":"34","author":"M Drohmann","year":"2012","unstructured":"Drohmann M, Haasdonk B, Ohlberger M. Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation. SIAM J Sci Comput. 2012;34(2):937\u201369.","journal-title":"SIAM J Sci Comput"},{"key":"76_CR19","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.matcom.2012.11.012","volume":"89","author":"Z Luo","year":"2013","unstructured":"Luo Z, Li H, Sun P, An J, Navon IM. A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems. Math Comput Simul. 2013;89:50\u201368.","journal-title":"Math Comput Simul"},{"issue":"1","key":"76_CR20","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1002\/cnm.1295","volume":"27","author":"J Du","year":"2011","unstructured":"Du J, Zhu J, Luo Z, Navon IM. An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Int J Numer Methods Biomed Eng. 2011;27(1):78\u201394.","journal-title":"Int J Numer Methods Biomed Eng"},{"issue":"8","key":"76_CR21","doi-asserted-by":"crossref","first-page":"1373","DOI":"10.1016\/j.camwa.2006.11.012","volume":"52","author":"Y Cao","year":"2006","unstructured":"Cao Y, Zhu J, Luo Z, Navon IM. Reduced-order modeling of the upper tropical pacific ocean model using proper orthogonal decomposition. Comput Math Appl. 2006;52(8):1373\u201386.","journal-title":"Comput Math Appl"},{"issue":"2","key":"76_CR22","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1002\/fld.1452","volume":"55","author":"Z Luo","year":"2007","unstructured":"Luo Z, Chen J, Zhu J, Wang R, Navon IM. An optimizing reduced order FDS for the tropical pacific ocean reduced gravity model. Int J Numer Methods Fluids. 2007;55(2):143\u201361.","journal-title":"Int J Numer Methods Fluids"},{"issue":"23","key":"76_CR23","doi-asserted-by":"crossref","first-page":"1233","DOI":"10.1016\/j.crma.2011.10.024","volume":"349","author":"S Kaulmann","year":"2011","unstructured":"Kaulmann S, Ohlberger M, Haasdonk B. A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems. Comptes Rendus Mathematique. 2011;349(23):1233\u20138.","journal-title":"Comptes Rendus Mathematique"},{"key":"76_CR24","unstructured":"Iapichino L. Reduced basis methods for the solution of parametrized PDEs in repetitive and complex networks with application to CFD. PhD thesis, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, N. 5529, 2012"},{"key":"76_CR25","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1051\/m2an\/2015045","volume":"50","author":"PF Antonietti","year":"2016","unstructured":"Antonietti PF, Pacciarini P, Quarteroni A. A discontinuous Galerkin reduced basis element method for elliptic problems. ESAIM: M2AN. 2016;50:337\u201360.","journal-title":"ESAIM: M2AN"},{"key":"76_CR26","doi-asserted-by":"crossref","unstructured":"Pacciarini P. Discontinuous Galerkin reduced basis element methods for parametrized partial differential equations in partitioned domains. Ph.D. thesis, Department of Mathematics, Politecnico di Milano, 2016.","DOI":"10.1016\/j.camwa.2016.01.030"},{"issue":"4","key":"76_CR27","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1080\/00207160.2013.844431","volume":"91","author":"O Roderick","year":"2014","unstructured":"Roderick O, Anitescu M, Peet Y. Proper orthogonal decompositions in multifidelity uncertainty quantification of complex simulation models. Int J Comput Math. 2014;91(4):748\u201369.","journal-title":"Int J Comput Math"},{"key":"76_CR28","unstructured":"Pitton G, Rozza G. A reduced basis method for bifurcation problems in incompressible fluid dynamics. submitted; 2015."},{"issue":"01","key":"76_CR29","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1051\/mmnp\/20094104","volume":"4","author":"E Chahine","year":"2009","unstructured":"Chahine E, Laborde P, Renard Y. A reduced basis enrichment for the extended finite element method. Math Model Nat Phenom. 2009;4(01):88\u2013105.","journal-title":"Math Model Nat Phenom"},{"issue":"5","key":"76_CR30","doi-asserted-by":"crossref","first-page":"574","DOI":"10.1002\/cnm.1491","volume":"28","author":"S Niroomandi","year":"2012","unstructured":"Niroomandi S, Alfaro I, Gonzalez D, Cueto E, Chinesta F. Real-time simulation of surgery by reduced-order modeling and X-FEM techniques. Int J Numer Methods Biomed Eng. 2012;28(5):574\u201388.","journal-title":"Int J Numer Methods Biomed Eng"},{"issue":"39","key":"76_CR31","doi-asserted-by":"crossref","first-page":"4135","DOI":"10.1016\/j.cma.2004.10.008","volume":"194","author":"TJ Hughes","year":"2005","unstructured":"Hughes TJ, Cottrell JA, Bazilevs Y. Isogeometric analysis: cad, finite elements, nurbs, exact geometry and mesh refinement. Comput Methods Appl Mech Eng. 2005;194(39):4135\u201395.","journal-title":"Comput Methods Appl Mech Eng"},{"key":"76_CR32","doi-asserted-by":"crossref","unstructured":"Cottrell JA, Hughes TJ, Bazilevs Y. Isogeometric analysis: toward integration of CAD and FEA. Newyork: Wiley; 2009.","DOI":"10.1002\/9780470749081"},{"issue":"45\u201346","key":"76_CR33","doi-asserted-by":"publisher","first-page":"3242","DOI":"10.1016\/j.cma.2011.06.007","volume":"200","author":"PN Nielsen","year":"2011","unstructured":"Nielsen PN, Gersborg AR, Gravesen J, Pedersen NL. Discretizations in isogeometric analysis of Navier\u2013Stokes flow. Comput Methods Appl Mech Eng. 2011;200(45\u201346):3242\u201353. doi: 10.1016\/j.cma.2011.06.007 .","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"08","key":"76_CR34","doi-asserted-by":"crossref","first-page":"1421","DOI":"10.1142\/S0218202513500139","volume":"23","author":"JA Evans","year":"2013","unstructured":"Evans JA, Hughes TJ. Isogeometric divergence-conforming b-splines for the steady Navier\u2013Stokes equations. Math Models Methods Appl Sci. 2013;23(08):1421\u201378.","journal-title":"Math Models Methods Appl Sci"},{"key":"76_CR35","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/j.jcp.2013.01.006","volume":"241","author":"JA Evans","year":"2013","unstructured":"Evans JA, Hughes TJR. Isogeometric divergence-conforming B-splines for the unsteady Navier\u2013Stokes equations. J Comput Phys. 2013;241:141\u201367. doi: 10.1016\/j.jcp.2013.01.006 .","journal-title":"J Comput Phys"},{"key":"76_CR36","doi-asserted-by":"publisher","first-page":"264","DOI":"10.1016\/j.amc.2015.03.104","volume":"267","author":"BS Hosseini","year":"2015","unstructured":"Hosseini BS, M\u00f6ller M, Turek S. Isogeometric analysis of the Navier\u2013Stokes equations with Taylor\u2013Hood B-spline elements. Appl Math Comput. 2015;267:264\u201381. doi: 10.1016\/j.amc.2015.03.104 .","journal-title":"Appl Math Comput"},{"issue":"2","key":"76_CR37","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1016\/j.cad.2012.10.018","volume":"45","author":"W Wang","year":"2013","unstructured":"Wang W, Zhang Y, Liu L, Hughes TJR. Trivariate solid T-spline construction from boundary triangulations with arbitrary genus topology. CAD Comput Aided Des. 2013;45(2):351\u201360. doi: 10.1016\/j.cad.2012.10.018 .","journal-title":"CAD Comput Aided Des"},{"issue":"29\u201330","key":"76_CR38","doi-asserted-by":"publisher","first-page":"2943","DOI":"10.1016\/j.cma.2007.02.009","volume":"196","author":"Y Zhang","year":"2007","unstructured":"Zhang Y, Bazilevs Y, Goswami S, Bajaj CL, Hughes TJR. Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow. Comput Methods Appl Mech Eng. 2007;196(29\u201330):2943\u201359. doi: 10.1016\/j.cma.2007.02.009 .","journal-title":"Comput Methods Appl Mech Eng"},{"key":"76_CR39","unstructured":"Salmoiraghi F. Reduced order models for potential flows past parametrized NACA airfoils based on an isogeometric boundary element method. Master thesis, Politecnico di Milano. 2014."},{"key":"76_CR40","doi-asserted-by":"crossref","first-page":"1147","DOI":"10.1016\/j.cma.2014.11.037","volume":"284","author":"A Manzoni","year":"2015","unstructured":"Manzoni A, Salmoiraghi F, Heltai L. Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils. Comput Methods Appl Mech Eng. 2015;284:1147\u201380.","journal-title":"Comput Methods Appl Mech Eng"},{"key":"76_CR41","unstructured":"Ded\u00e8 L, Quarteroni A, Zhu S. Isogeometric analysis and proper orthogonal decomposition for parabolic problems. Technical report EPFL MATHICSE 44.2014. 2014."},{"key":"76_CR42","unstructured":"Rinaldi M. Reduced basis method for isogeometric analysis: application to structural problems. Master thesis, Politecnico di Milano. 2014."},{"issue":"4","key":"76_CR43","first-page":"151","volume":"20","author":"TW Sederberg","year":"1986","unstructured":"Sederberg TW, Parry SR. Free-form deformation of solid geometric models. ACM. 1986;20(4):151\u201360.","journal-title":"ACM"},{"key":"76_CR44","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/BF00271473","volume":"2","author":"N Aubry","year":"1991","unstructured":"Aubry N. On the hidden beauty of the proper orthogonal decomposition. Theor Comp Fluid Dyn. 1991;2:339\u201352.","journal-title":"Theor Comp Fluid Dyn"},{"key":"76_CR45","doi-asserted-by":"publisher","unstructured":"Salmoiraghi F, Ballarin F, Heltai L, Rozza G. Isogeometric analysis based reduced order modelling for incompressible viscous flows in parametrized shapes: applications to underwater shape design. 2015. doi: 10.14293\/P2199-8442.1.SOP-MATH.P4F56E.v1 .","DOI":"10.14293\/P2199-8442.1.SOP-MATH.P4F56E.v1"},{"issue":"11\u201312","key":"76_CR46","doi-asserted-by":"crossref","first-page":"1407","DOI":"10.1002\/fld.2337","volume":"65","author":"A Buffa","year":"2011","unstructured":"Buffa A, De Falco C, Sangalli G. Isogeometric analysis: stable elements for the 2D stokes equation. Int J Numer Methods Fluids. 2011;65(11\u201312):1407\u201322.","journal-title":"Int J Numer Methods Fluids"},{"key":"76_CR47","doi-asserted-by":"publisher","first-page":"514","DOI":"10.1016\/j.cma.2013.09.017","volume":"268","author":"L Heltai","year":"2014","unstructured":"Heltai L, Arroyo M, DeSimone A. Nonsingular isogeometric boundary element method for stokes flows in 3D. Comput Methods Appl Mech Eng. 2014;268:514\u201339. doi: 10.1016\/j.cma.2013.09.017 .","journal-title":"Comput Methods Appl Mech Eng"},{"key":"76_CR48","doi-asserted-by":"crossref","unstructured":"Wang Y, Benson DJ, Nagy AP. A multi-patch nonsingular isogeometric boundary element method using trimmed elements. Comput Mech. 2015. 1\u201319.","DOI":"10.1007\/s00466-015-1165-y"},{"issue":"9","key":"76_CR49","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1016\/j.crma.2004.08.006","volume":"339","author":"M Barrault","year":"2004","unstructured":"Barrault M, Maday Y, Nguyen NC, Patera AT. An empirical interpolation method: application to efficient reduced-basis discretization of partial differential equations. C R Math Acad Sci Paris. 2004;339(9):667\u201372.","journal-title":"C R Math Acad Sci Paris"},{"issue":"1","key":"76_CR50","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1007\/s00791-006-0044-7","volume":"12","author":"G Rozza","year":"2009","unstructured":"Rozza G. Reduced basis methods for Stokes equations in domains with non-affine parameter dependence. Comput Vis Sci. 2009;12(1):23\u201335. doi: 10.1007\/s00791-006-0044-7 .","journal-title":"Comput Vis Sci"},{"issue":"4","key":"76_CR51","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1002\/num.20249","volume":"23","author":"A Quarteroni","year":"2007","unstructured":"Quarteroni A, Rozza G. Numerical solution of parametrized Navier-Stokes equations by reduced basis methods. Numer Methods Partial Differ Equ. 2007;23(4):923\u201348. doi: 10.1002\/num.20249 .","journal-title":"Numer Methods Partial Differ Equ"},{"issue":"5","key":"76_CR52","doi-asserted-by":"publisher","first-page":"646","DOI":"10.1002\/fld.2712","volume":"70","author":"A Manzoni","year":"2012","unstructured":"Manzoni A, Quarteroni A, Rozza G. Shape optimization for viscous flows by reduced basis methods and free-form deformation. Int J Numer Methods Fluids. 2012;70(5):646\u201370. doi: 10.1002\/fld.2712 .","journal-title":"Int J Numer Methods Fluids"},{"issue":"2","key":"76_CR53","doi-asserted-by":"publisher","first-page":"1187","DOI":"10.1137\/110819950","volume":"34","author":"T Lassila","year":"2012","unstructured":"Lassila T, Quarteroni A, Rozza G. A reduced basis model with parametric coupling for fluid-structure interaction problems. SIAM J Sci Comput. 2012;34(2):1187\u2013213. doi: 10.1137\/110819950 .","journal-title":"SIAM J Sci Comput"},{"issue":"23\u201324","key":"76_CR54","doi-asserted-by":"crossref","first-page":"1583","DOI":"10.1016\/j.cma.2010.01.007","volume":"199","author":"T Lassila","year":"2010","unstructured":"Lassila T, Rozza G. Parametric free-form shape design with PDE models and reduced basis method. Comput Methods Appl Mech Eng. 2010;199(23\u201324):1583\u201392.","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"3","key":"76_CR55","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1007\/s10915-013-9807-8","volume":"60","author":"F Ballarin","year":"2014","unstructured":"Ballarin F, Manzoni A, Rozza G, Salsa S. Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows. J Sci Comput. 2014;60(3):537\u201363.","journal-title":"J Sci Comput"},{"issue":"6","key":"76_CR56","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1109\/38.329096","volume":"14","author":"HJ Lamousin","year":"1994","unstructured":"Lamousin HJ, Waggenspack WN Jr. NURBS-based free-form deformations. IEEE Comput Graph Appl. 1994;14(6):59\u201365.","journal-title":"IEEE Comput Graph Appl"},{"key":"76_CR57","unstructured":"Ballarin F. Reduced-order models for patient-specific haemodynamics of coronary artery bypass grafts. PhD thesis, Department of Mathematics, Politecnico di Milano. 2015. http:\/\/hdl.handle.net\/10589\/102804"},{"key":"76_CR58","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1016\/j.jcp.2016.03.065","volume":"315","author":"F Ballarin","year":"2016","unstructured":"Ballarin F, Faggiano E, Ippolito S, Manzoni A, Quarteroni A, Rozza G, Scrofani R. Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD\u2013Galerkin method and a vascular shape parametrization. J Comput Phys. 2016;315:609\u201328.","journal-title":"J Comput Phys"},{"issue":"5","key":"76_CR59","doi-asserted-by":"crossref","first-page":"1136","DOI":"10.1002\/nme.4772","volume":"102","author":"F Ballarin","year":"2015","unstructured":"Ballarin F, Manzoni A, Quarteroni A, Rozza G. Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. Int J Numer Methods Eng. 2015;102(5):1136\u201361.","journal-title":"Int J Numer Methods Eng"},{"issue":"1","key":"76_CR60","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/s00211-013-0534-8","volume":"125","author":"G Rozza","year":"2013","unstructured":"Rozza G, Huynh DBP, Manzoni A. Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants. Numer Math. 2013;125(1):115\u201352.","journal-title":"Numer Math"},{"issue":"7","key":"76_CR61","doi-asserted-by":"crossref","first-page":"1244","DOI":"10.1016\/j.cma.2006.09.005","volume":"196","author":"G Rozza","year":"2007","unstructured":"Rozza G, Veroy K. On the stability of the reduced basis method for Stokes equations in parametrized domains. Comput Methods Appl Mech Eng. 2007;196(7):1244\u201360.","journal-title":"Comput Methods Appl Mech Eng"}],"container-title":["Advanced Modeling and Simulation in Engineering Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s40323-016-0076-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1186\/s40323-016-0076-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s40323-016-0076-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,11]],"date-time":"2019-09-11T09:35:11Z","timestamp":1568194511000},"score":1,"resource":{"primary":{"URL":"http:\/\/amses-journal.springeropen.com\/articles\/10.1186\/s40323-016-0076-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,20]]},"references-count":61,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,12]]}},"alternative-id":["76"],"URL":"https:\/\/doi.org\/10.1186\/s40323-016-0076-6","relation":{},"ISSN":["2213-7467"],"issn-type":[{"type":"electronic","value":"2213-7467"}],"subject":[],"published":{"date-parts":[[2016,7,20]]},"article-number":"21"}}