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Journal Papers

Submitted or In Press
  1. M. Girfoglio, A. Quaini, G. Rozza: A POD-Galerkin reduced order model for a LES filtering approach, Submitted.
    ariXiv:2009.13593
  2. M. Hess, A. Quaini, G. Rozza: A comparison of reduced-order modeling approaches for PDEs with bifurcating solutions, Submitted.
  3. D. Kim, A. Quaini: Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment, Math. Models Methods Appl. Sci., Published online.
    arXiv:2003.08357 | link

Appeared
  1. 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
  2. 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
  3. 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
  4. 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
  5. V. Yushutin, A. Quaini, M. Olshanskii: Numerical modelling of phase separation on dynamic surfaces, J. Comput. Phys., 407:109126, 2020.
    link | arXiv:1907.11314
  6. 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.
    link
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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.
    link
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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.
    link
  22. 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
  23. 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.
    link
  24. 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.
    link
  25. 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.
    link
  26. 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.
    link
  27. 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.
    link
  28. 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.
    link
  29. 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.
    link
  30. 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.
    link
  31. 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.
    link
  32. 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.
    link

Proceedings and Book Chapters

Submitted or In Press

Appeared
  1. 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.
    link | arXiv:1812.11051
  2. 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
  3. 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
  4. 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.
  5. 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
  6. 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.
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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.
    link
  13. 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.
    link
  14. 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.
    link

PhD Thesis

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