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Journal Papers

Submitted or In Press
  1. Y. Wang, Y. Palzhanov, D. T. Dang, A. Quaini, M. Olshanskii, S. Majd: On fusogenicity of positively charged phased-separated lipid vesicles: experiments and computational simulations. Submitted.
    arXiv:2308.08425
  2. A. Hajisharifi, M. Girfoglio, A. Quaini, G. Rozza: A Comparison of data-driven Reduced Order Models for the simulation of mesoscale atmospheric flow. Submitted.
    arXiv:2307.08790
  3. M. Olshanskii, Y. Palzhanov, A. Quaini: A scalar auxiliary variable unfitted FEM for the surface Cahn-Hilliard equation. Submitted.
    arXiv:2306.00318
  4. N. Clinco, M. Girfoglio, A. Quaini, G. Rozza: Filter stabilization for the mildly compressible Euler equations with application to atmosphere dynamics simulations. Submitted.
    arXiv:2305.12978

Appeared
  1. N. Bellomo, J. Liao, A. Quaini, L. Russo, and C. Siettos: Human behavioral crowds review, critical analysis, and research perspectives. Math. Models Methods Appl. Sci., 33(8):1611-1659, 2023.
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  2. M. Girfoglio, A. Quaini, G. Rozza: Validation of an OpenFOAM-based solver for the Euler equations with benchmarks for mesoscale atmospheric modeling. AIP Advances, 13(5):055024, 2023.
    arXiv:2302.04836 | link
  3. M. Girfoglio, A. Quaini, G. Rozza: A Hybrid Reduced Order Model for nonlinear LES filtering, J. Comput. Phys., 486:112127, 2023.
    arXiv:2107.12933 | link
  4. M. Girfoglio, A. Quaini, G. Rozza: A linear filter regularization for POD-based Reduced Order Models of the quasi-geostrophic equations. Comptes-Rendus Mecaniques, 351(S1):1-21, 2023.
    arXiv:2211.16851 | link
  5. Y. Tissaoui, S. Marras, A. Quaini, F. A.V. De Braganca Alves, F.X. Giraldo: A non-column based, fully unstructured implementation of Kessler's microphysics with warm rain using continuous and discontinuous spectral elements. J. Adv. Model. Earth Syst., 15(3):e2022MS003283, 2023.
    arXiv:2207.02190 | link
  6. M. Hess, A. Quaini, G. Rozza: A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with Dynamic Mode Decomposition and manifold interpolation. Adv. Comput. Math., 49, 22, 2023.
    arXiv:2201.10872 | link
  7. M. Girfoglio, A. Quaini, G. Rozza: A novel Large Eddy Simulation model for the Quasi-Geostrophic Equations in a Finite Volume setting, J. Comput. Appl. Math., 418:114656, 2023.
    arXiv:2202.00295 | link
  8. C. Balzotti, P. Siena, M. Girfoglio, A. Quaini, G. Rozza: A data-driven Reduced Order Method for parametric optimal blood flow control: application to coronary bypass graft. Commun. Optim. Theory, 2022:1-19, Article ID 26, 2022.
    arXiv:2206.15384 | link
  9. M. Olshanskii, Y. Palzhanov, A. Quaini: A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds. Vietnam Journal of Mathematics, 50:929–945, 2022.
    arXiv:2110.15873 | link
  10. M. Girfoglio, A. Quaini, G. Rozza: A POD-Galerkin reduced order model for the Navier-Stokes equations in stream function-vorticity formulation, Computers & Fluids, 244:105536, 2022.
    arXiv:2201.00756 | link
  11. Y. Wang, Y. Palzhanov, A. Quaini, M. Olshanskii, S. Majd: Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation. BBA - Biomembranes, 1864(7):183898, 2022.
    arXiv:2111.03022 | link
  12. N. Bellomo, L. Gibelli, A. Quaini, and A. Reali: Towards a mathematical theory of behavioral human crowds. Math. Models Methods Appl. Sci., 32(2):321-358, 2022.
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  13. Olshanskii, A. Quaini, Q. Sun: A finite element method for two-phase flow with material viscous interface, Comput. Methods Appl. Math. 22(2):443-464, 2022.
    arXiv:2106.02922 | link
  14. M. Hess, A. Quaini, G. Rozza: A comparison of reduced-order modeling approaches for PDEs with bifurcating solutions, Electron. Trans. Numer. Anal. (ETNA), 56, 52-65, 2022.
    arXiv:2010.07370 | link
  15. Y. Palzhanov, A. Zhiliakov, A. Quaini, and M. Olshanskii: A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow, Comput. Methods Appl. Mech. Engrg., 387:114167, 2021.
    arXiv:2104.08996 | link
  16. Olshanskii, A. Quaini, Q. Sun: An unfitted finite element method for two-phase Stokes problems with slip between phases, J. Sci. Comput., 89(2), 41, 2021.
    arXiv:2101.09627 | link
  17. M. Girfoglio, A. Quaini, G. Rozza: Pressure stabilization strategies for a LES filtering Reduced Order Model, Fluids, 6(9): 302, 2021.
    arXiv:2106.15887 | link
  18. M. Girfoglio, A. Quaini, G. Rozza: Fluid-structure interaction simulations with a LES filtering approach in solids4Foam, Commun. Appl. Ind. Math.,12 (1): 13-28, 2021.
    arXiv:2102.08011 | link
  19. D. Kim, K. O'Connell, W. Ott, A. Quaini: A kinetic theory approach for 2D crowd dynamics with emotional contagion, Math. Models Methods Appl. Sci., 31(6):1137-1162, 2021.
    arXiv:2012.08108 | link
  20. M. Girfoglio, A. Quaini, G. Rozza: A POD-Galerkin reduced order model for a LES filtering approach, J. Comput. Phys., 436:110260, 2021.
    ariXiv:2009.13593 | link
  21. A. Zhiliakov, Y. Wang, A. Quaini, M. Olshanskii, S. Majd: Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes, BBA - Biomembranes, 1863(1):183446, 2021.
    arXiv:2006.14125 | link
  22. D. Kim, A. Quaini: Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment, Math. Models Methods Appl. Sci., 30(10):1893-1915, 2020.
    arXiv:2003.08357 | link
  23. K. Rathinakumar, A. Quaini: A microscopic approach to study the onset of a highly infectious disease spreading, Mathematical Biosciences, 329:108475, 2020.
    arXiv:2004.09554 | link
  24. F. Pichi, A. Quaini, G. Rozza: A Reduced Order Modeling technique to study bifurcating phenomena: application to the Gross-Pitaevskii equation, SIAM J. Sci. Comput., 42(5):B1115-B1135, 2020.
    arXiv:1907.07082 | link
  25. M. Hess, A. Quaini, G. Rozza: Reduced basis model order reduction for Navier-Stokes equations in domains with walls of varying curvature, Int. J. Comput. Fluid Dyn., 34(2):119-126, 2020.
    link | arXiv:1901.03708
  26. V. Yushutin, A. Quaini, M. Olshanskii: Numerical modelling of phase separation on dynamic surfaces, J. Comput. Phys., 407:109126, 2020.
    link | arXiv:1907.11314
  27. H. Xu, F. Di Massimo, D. Baroli, A. Quaini, A. Veneziani: Backflow stabilization by deconvolution-based Large Eddy Simulation modeling, J. Comput. Phys., 404:109103, 2020.
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  28. D. Kim, A. Quaini: A kinetic theory approach to model pedestrian dynamics in bounded domains with obstacles, Kinetic Rel. Models, 12(6):1273-1296, 2019.
    link | arXiv:1901.07620
  29. M. Girfoglio, A. Quaini, G. Rozza: A Finite Volume approximation of the Navier-Stokes equations with nonlinear filtering stabilization, Computers and Fluids, 187:27-45, 2019.
    link | arXiv:1901.05251
  30. M. Hess, A. Alla, A. Quaini, G. Rozza, M. Gunzburger: A localized reduced-order modeling approach for PDEs with bifurcating solutions, Comput. Methods Appl. Mech. Engrg., 351:379-403, 2019.
    link | arXiv:1807.08851
  31. V. Yushutin, A. Quaini, S. Majd, M. Olshanskii: A computational study of lateral phase separation in biological membranes, Int. J. Num. Meth. Biomed. Eng., 35(3):e3181, 2019.
    link | arXiv:1808.06741
  32. M. Olshanskii, A. Quaini, A. Reusken, V. Yushutin: A finite element method for the surface Stokes problem, SIAM J. Sci. Comput., 40(4):A2492-A2518, 2018.
    link | arXiv:1801.06589
  33. Y. Wang, A. Quaini, S. Canic: A higher-order Discontinuous Galerkin/Arbitrary Lagrangian Eulerian partitioned approach to solving fluid-structure interaction problems with incompressible, viscous fluids and elastic structures, Accepted in J. Sci. Comput., 76(1):481-520, 2018.
    link | preprint
  34. Y. Wang, A. Quaini, S. Canic, M. Vukicevic, S. Little: 3D experimental and computational analysis of eccentric mitral regurgitant jets in a mock imaging heart chamber, Cardiovascular Engineering and Technology, 8(4):419-438, 2017.
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  35. D. Forti, M. Bukac, A. Quaini, S. Canic, S. Deparis: A monolithic approach to fluid-composite structure interaction, J. Sci. Comput., 72(1):396-421, 2017.
    link | preprint
  36. G. Pitton, A. Quaini, G. Rozza: Computational reduction strategies for the detection of steady bifurcations in incompressible fluid-dynamics: Applications to Coanda effect in cardiology, J. Comput. Phys., 344:534-557, 2017.
    link | arXiv:1708.09718
  37. S. Basting, A. Quaini, R. Glowinski, S. Canic: An extended ALE method for fluid-structure interaction problems with large structural displacements, J. Comput. Phys., 331:312-336, 2017.
    link | preprint
  38. L. Shi, S. Canic, A. Quaini, T.-W. Pan: A study of self-propelled elastic cylindrical micro-swimmers using modeling and computation, J. Comput. Phys., 314:264-286, 2016.
    link | preprint
  39. L. Bertagna, A. Quaini, A. Veneziani: Deconvolution-based nonlinear filtering for incompressible flows at moderately large Reynolds numbers, Int. J. Num. Meth. Fluids, 81(8):463-488, 2016.
    link | preprint
  40. A. Quaini, R. Glowinski, S. Canic: Symmetry breaking and Hopf bifurcation for incompressible viscous flow in a contraction-expansion channel, Int. J. Comput. Fluid Dyn., 30(1):7-19, 2016.
    link | preprint
  41. M. Bukac, S. Canic, R. Glowinski, B. Muha, A. Quaini: A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures, Int. J. Num. Meth. Fluids, 74(8):577-604, 2014.
    link | preprint
  42. R. Glowinski and A. Quaini: When Euler-Poisson-Darboux meets Painleve and Bratu: On the numerical solution of nonlinear wave equations, Methods and Applications of Analysis, 20(4):405-424, 2013.
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  43. T. Passerini, A. Quaini, U. Villa, A. Veneziani, S. Canic: Validation of an open source framework for the simulation of blood flow in rigid and deformable vessels, Int. J. Num. Meth. Biomed. Eng., 29(11):1192-1213, 2013.
    link | preprint
  44. R. Glowinski and A. Quaini: On the numerical solution of a nonlinear wave equation associated with the first Painleve equation: an operator-splitting approach, Chin. Ann. of Math., Series B, 34(2):237-254, 2013.
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  45. R. Glowinski and A. Quaini: On an inequality of C. Sundberg: a computational investigation via nonlinear programming, J. Optim. Theory Appl., 158(3):739-772, 2013.
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  46. M. Bukac, S. Canic, R. Glowinski, J. Tambaca, A. Quaini: Fluid-structure interaction in blood flow capturing non-zero longitudinal displacement, J. Comput. Phys., 235:515-541, 2013.
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  47. A. Quaini, S. Canic, R. Glowinski, S.R. Igo, C.J. Hartley, W.A. Zoghbi, and S.H. Little: Validation of a 3D computational fluid-structure interaction model simulating flow through an elastic aperture, J. Biomech, 45(2):310-318, 2012.
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  48. A. Quaini, S. Canic, G. Guidoboni, R. Glowinski, S.R. Igo, C.J. Hartley, W.A. Zoghbi, and S.H. Little: A three-dimensional computational fluid-dynamics model of regurgitant mitral valve flow: validation against in vitro standards and 3D color Doppler methods, Cardiovascular Engineering and Technology, 2(2):77-89, 2011.
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  49. A. Quaini, S. Canic and D. Paniagua: Numerical characterization of hemodynamics conditions near the aortic valve after implantation of Left Venitricle Assist Device, Math. Biosci. Eng., 8(3):785-806, 2011.
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  50. S. Badia, A. Quaini, and A. Quarteroni: Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction, J. Comput. Phys., 228(21):7986-8014, 2009.
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  51. S. Badia, A. Quaini, and A. Quarteroni: Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect, Comput. Methods Appl. Mech. Engrg., 197:4216-4232, 2008.
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  52. S. Badia, A. Quaini, and A. Quarteroni: Splitting methods based on algebraic factorization for fluid-structure interaction, SIAM J. Sci. Comput., 30(4):1778-1805, 2008.
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  53. A. Quaini and A. Quarteroni: A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method., Math. Models Methods Appl. Sci., 17(6):957-983, 2007.
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Proceedings and Book Chapters

Submitted or In Press
  1. M. Girfoglio, A. Quaini, G. Rozza: GEA: a new finite volume-based open source code for the numerical simulation of atmospheric and ocean flows. Submitted.
    arXiv:2303.10499
  2. M. Hess, A. Quaini, G. Rozza: Data-Driven Enhanced Model Reduction for Bifurcating Models in Computational Fluid Dynamics. In: eccomas2022.
    link | arXiv:2202.09250

Appeared
  1. D. Kim, A. Quaini: A 2D kinetic model for crowd dynamics with disease contagion, Accepted in: N. Bellomo, M. Chaplain (eds) Predicting Pandemics in a Globally Connected World Volume 1 - Towards a multiscale, multidisciplinary vision through modeling and simulations, Birkhauser-Springer, 2022.
    arXiv:2107.11401
  2. D. Kim, A. Quaini: A kinetic theory approach to model crowd dynamics with disease contagion, Accepted in: N. Bellomo, L. Gibelli (eds) Crowd Dynamics Volume 3 - Modeling and Social Applications. Modeling and Simulation in Science, Engineering and Technology, Birkhauser-Springer, 2021.
    arXiv:2103.15151
  3. M. Hess, A. Quaini, G. Rozza: A spectral element reduced basis method for Navier-Stokes equations with geometric variations, In: Sherwin S., Moxey D., Peiro' J., Vincent P., Schwab C. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018. Lecture Notes in Computational Science and Engineering, vol 134, Springer Cham, 2020.
    link | arXiv:1812.11051
  4. K. Bicol and A. Quaini: On the sensitivity to model parameters in a filter stabilization technique for advection dominated advection-diffusion-reaction problems, In: van Brummelen H., Corsini A., Perotto S., Rozza G. (eds) Numerical Methods for Flows. Lecture Notes in Computational Science and Engineering, vol 132. Springer, Cham.
    link | arXiv:1805.01376
  5. L. Bertagna, A. Quaini, L.G. Rebholz, A. Veneziani: On the sensitivity to the filtering radius in Leray models of incompressible flow, In: Chetverushkin B., Fitzgibbon W., Kuznetsov Y., Neittaanmäki P., Periaux J., Pironneau O. (eds) Contributions to Partial Differential Equations and Applications. Computational Methods in Applied Sciences, vol 47. Springer, Cham, pages 111-130, 2019.
    link | preprint
  6. S. Basting, A. Quaini, R. Glowinski, S. Canic: On the implementation and benchmarking of an extended ALE Method for FSI problems, In Fluid-Structure Interaction: Modeling, Adaptive Discretizations and Solvers, S. Frei, B. Holm, T. Richter, T. Wick, H. Yang Eds., pages 3–39, 2017.
  7. A. Quaini, R. Glowinski, S. Canic: A computational study on the generation of the Coanda effect in a mock heart chamber, RIMS Kokyuroku series, No. 2009-4, 2016.
    link
  8. A. Quaini and R. Glowinski: Splitting methods for some nonlinear wave problems, Accepted in Splitting Methods in Communication and Imaging, Science and Engineering, R. Glowinski, S.J. Osher, W. Yin Eds, pages 643--676, 2016.
  9. A. Cesmelioglu, H. Lee, A. Quaini, K. Wang, S.-Y. Yi: Optimization-based decoupling algorithms for a fluid-poroelastic system, Topics in Numerical Partial Differential Equations and Scientific Computing. In The IMA Volumes in Mathematics and its Applications, volume 160: 79-98, 2016.
    link | preprint
  10. S. Basting, A. Quaini, R. Glowinski, S. Canic: Comparison of time discretization schemes to simulate the motion of an inextensible beam, Numerical Mathematics and Advanced Applications - ENUMATH 2013. In Lecture Notes in Computational Science and Engineering, A. Abdulle, S. Deparis, D. Kressner, F. Nobile, M. Picasso Eds., volume 103: 175-183, 2015.
    link | preprint
  11. R. Glowinski, A. Quaini: On the numerical solution of a nonlinear wave equation associated with the first Painleve equation: an operator-splitting approach, In Partial Differential Equations: Theory, Control and Approximation, P.G. Ciarlet, T. Li, Y. Maday Eds., pages 243--264, 2014.
    link
  12. T. Passerini, A. Quaini, U. Villa, A. Veneziani, S. Canic: Validation of an open source framework for the simulation of blood flow, ASME 2013 Conference on Frontiers in Medical Devices: Applications of Computer Modeling and Simulation, FMD 2013, FMD2013-16125, 2013.
    link
  13. T. Passerini, A. Quaini, U. Villa, A. Veneziani, S. Canic: Validation of an open source framework for the simulation of blood flow in rigid and deformable vessels, ASME 2013 Summer Bioengineering Conference, SBC 2013, volume 1 A, 2013.
    link
  14. A. Quaini, S. Canic, G. Guidoboni, R. Glowinski,S. Igo, C. Hartley, W. Zoghbi, S. Little: Numerical Simulation of an Ultrasound Imaging Model of Mitral Valve Regurgitation, Abstract in Valves in the Heart of the Big Apple VI: Evaluation and Management of Valvular Heart Diseases 2010, Cardiology, volume 115, pages 251-293, 2010.
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  15. A. Quarteroni, G. Rozza, and A. Quaini: Reduced basis methods for optimal control of advection-diffusion problems, In Advances in Numerical Mathematics, W. Fitzgibbon, R. Hoppe, J. Periaux, O, Pironneau, and Y. Vassilevski Eds., pages 193-216, 2006.
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  16. A. Quarteroni, G. Rozza, L. Dedè, and A. Quaini: Numerical approximation of a control problem for advection-diffusion processes, Proceedings of IFIP05 Conference. In System modeling and optimization, F. Ceragioli, A. Dontchev, H. Furuta, K. Marti, L. Pandolfi Eds. volume 199, pages 261-273, 2006.
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PhD Thesis

A. Quaini, Algorithms for Fluid-Structure Interaction Problems Arising in Hemodynamics.
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