Dr. Alfonso Caiazzo

Research Group Numerical Mathematics and Scientific Computing

Weierstrass Institute for Applied Analysis and Stochastics
Mohrenstr. 39
10117 Berlin, Germany
Tel.: +49 (0)30 20372 332
Fax: +49 (0)30 2044975
Email: caiazzo (AT) wias-berlin.de

Short CV

May 2010 - Present: Postdoctoral researcher, WIAS-Berlin
May 2012 - Feb 2013: Research stay at the University of Trento (Italy), Department of Civil and Environmental Engineering (Prof. E. Toro)
Dec 2009 - Apr 2010: postdoc INRIA-Rocquencourt (REO team)
Dec 2008 - Nov 2009: ERCIM research fellowship, at INRIA-Rocquencourt (REO team)
Aug 2007 - Nov 2008: postdoc at University of Amsterdam
Mar 2006 - Jun 2007: researcher at Fraunhofer ITWM, Kaiserslautern (Germany)
Jan 2003 - Feb 2006: joint PhD program, Scuola Normale Superiore, Pisa (Italy) and TU Kaiserslautern

Research Interests:

Projects & Grants

Mathematical Framework for MR Poroelastography

Funding: MATH+ (01.21 - 12.21)

Project webpage
Computational multiscale methods for inverse estimation of effective properties of poroelastic tissues

Funding: DFG (09.21 - 08.24)
Partners: D. Peterseim, University of Augsburg

Mathematical Framework for MR Poroelastography

Funding: MATH+ (01.22 - 12.23)

Data-driven reduced-order methods for the non-invasive estimation of blood flow biomarkers from phase-contrast MRI data

(10.21 - 09.24)


  • A. Caiazzo, R. Maier, D. Peterseim. Reconstruction of quasi-local numerical effective models from low-resolution measurements, J. Scientific Computing, 85 (2020)
  • D. Janke, A. Caiazzo, N. Ahmed, N. Alia, O. Knoth, B. Moreau, U. Wilbrandt, D.A. Willink, T. Amon, V. John On the Feasibility of Using Open Source Solvers for the Simulation of a Turbulent Air Flow in a Dairy Barn , Computers and Electronics in Agriculture, 175, 105546 (2020)
  • C. McNamara, A. Caiazzo, I. Ramis-Conde, M. Chaplain. Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue: The effects of fibre and vascular structure J. Comp. Science, 40, 101067 (2020)
  • L. Heltai, A. Caiazzo. Multiscale modeling of vascularized tissues via non-matching immersed methods Int. J. Num. Methods Biomed. Engnr., 35(12), e3264 (2019)
  • L.O. Müller, A. Caiazzo, P.J. Blanco. Reduced-order unscented Kalman filter with observations in the frequency domain: Application to computational hemodynamics. IEEE Trans. Biomed. Engnr., 66(5), 1269--1276 (2019)
  • L. Blank, A. Caiazzo, F. Chouly, A. Lozinksi, J. Mura. Analysis of a stabilized penalty- free Nitsche method for the Brinkman, Stokes, and Darcy problems.
    ESAIM: M2AN 52(6), 2149-2185 (2018)
  • C. Bertoglio, A. Caiazzo, Y. Bazilevs, M. Braack, M. Emaily-Moghadam, V. Gravemeier, A.L. Marsden, O. Pironneau, I.E. Vignon-Clementel, W.A. Wall Benchmark problems for numerical treatment of backflow at open boundaries
    International Journal for Numerical Methods in Biomedical Engineering 34(2) (2018)
  • U. Wilbrandt, C. Bartsch, N. Ahmed, N. Alia, F. Anker, L. Blank, A. Caiazzo, S. Ganesa, S. Giere, G. Matthies, R. Meesala, A. Shamim, J. Venkatesan, V. John. ParMooN: a modernized program package based on mapped finite elements. Computers and Mathematics with Applications 7(1), pp. 74-88 (2017)
  • A. Caiazzo F. Caforio, G. Montecinos, L. O. Müller, P. J. Blanco E. F. Toro. Assessment of reduced‐order unscented Kalman filter for parameter identification in 1‐dimensional blood flow models using experimental data. International Journal for Numerical Methods in Biomedical Engineering 33(8) e2843 (2017)
  • C. Bertoglio, A. Caiazzo
    A Stokes-residual backflow stabilization method applied to physiological flows
    Journal of Computational Physics 313 pp.260-278 (2016)
  • A. Caiazzo, R. Guibert, I.E. Vignon-Clementel
    A reduced-order modeling for efficient design study of artificial valve in enlarged ventricularoutflow tracts
    Computer Methods in Biomechanics and Biomedical Engineering (in press)
  • A. Caiazzo, R. Guibert, Y. Boudjelmine, I.E. Vignon-Clementel
    CFD for the design of a stented valve reducer in enlarged ventricular outflow tracts
    Cardivascular Engineering and Technology 6(4) pp. 485-500 (2015) (WIAS preprint, ca. 5MB)
  • A. Caiazzo, I. Ramis-Conde
    Multiscale modeling of palisade formation in glioblastoma multiforme
    Journal of Theoretical Biology 383 pp. 145-156 (2015) (WIAS preprint, ca. 13MB)
  • A. Caiazzo, G. Montecinos, L.O. Mueller, E.F. Toro, E.M. Haacke
    Computational hemodynamics in stenotic internal jugular veins
    Journal of Mathematical Biology 70(4) pp. 745-772 (2015) ( url )
    (WIAS preprint, ca. 2.2MB)
  • A. Caiazzo, V. John, U. Wilbrandt
    On iterative subdomain methods for the Stokes-Darcy problem
    Computational Geoscience 18(5) pp. 711-728 (2014) ( url)
    (WIAS preprint, ca. 1.8MB)
  • A. Caiazzo, J. Mura
    Multiscale modeling of weakly compressible elastic materials in harmonic regime and application to microscale structure estimation
    SIAM Multiscale Modeling and Simulations 12(2) pp. 514-637 (2014) (url)
    (WIAS preprint, ca. 2.2MB)
  • C.Bertoglio, A.Caiazzo
    A tangential regularization method for backflow stabilization with application to blood flow simulations
    Journal of Computational Physics, 261, pp. 162-171 (2014) (WIAS preprint, ca. 1MB) , (url)
  • A. Caiazzo, T. Iliescu, V. John, S. Schyschlowa
    A numerical investigation of velocity-pressure reduced order models for incompressible flows
    Journal of Computational Physics 259 pp. 598-616 (2014) (WIAS preprint, ca. 2.2MB)
  • R. Guibert, K. McLeod, A. Caiazzo, T. Mansi, M.A. Fernandez, M. Sermesant, X. Pennec, I.E. Vignon-Clementel,Y. Boudjelmine, J.-F. Gerbeau
    Groupwise construction of reduced models for understanding and charachterisation of pulmonary blood flows from medical imaging
    Medical Image Analysis 18(1), pp.63-82 (2014) (url - sciencedirect)
  • C. Bertoglio, A. Caiazzo, M.A. Fernandez
    Fractional-step schemes for the coupling of distributed and lumped models in Hemodynamics
    SIAM J. Sci. Comp. 35(3), pp. B551-B575 (2013) (INRIA Research Report, ca. 1.8MB)
  • M. Natale, A. Caiazzo, E.M. Bucci, E. Ficarra
    A novel Gaussian Extrapolation Approach for 2D Gel Electrophoresis Saturated Protein Spots
    Genomics, Proteomics and Bioinformatics 10(6), pp.336-344 (2012) (PDF available online, ca.4.5MB)
  • M. Augustin, A. Caiazzo, A. Fiebach, J. Fuhrmann, V. John, A. Linke, R. Umla
    An assessment of discretizations for convection-dominated convection-diffusion equations
    Computer Methods in Applied Mechanics and Engineering 200, pp.3395-3409 (2011) (WIAS preprint) .
  • A. Caiazzo, M.A. Fernandez, V. Martin. (short communication)
    Analysis of a stabilized finite element method for fluid flows through a porous interface
    Applied Mathematics Letters 24, pp.2124-2127 (2011). (preprint PDF, ca. 143kb)
  • A. Caiazzo, M.A. Fernandez, J.-F. Gerbeau, V. Martin.
    Projection schemes for fluid flows thorugh a porous interface
    SIAM J. Sci. Comput. 33, pp. 541-564 (2011). (INRIA report PDF, ca. 360kb)
  • A. Caiazzo and D. Evans, J.-L. Falcone, J. Hegewald, E. Lorenz, B. Stahl, D. Wang, J. Bernsdorf,
    B. Chopard, J. Gunn, R. Hose, M. Krafczyk, P. Lawford, R. Smallwood, D. Walker, A.G. Hoekstra
    A Complex Automata approach for In-stent Restenosis: two-dimensional multiscale modeling and simulations
    J. of Computational Science, 2(1), pp. 9-17 (2011). (preprint PDF, ca. 360kb)
  • A. Caiazzo, S. Maddu. Lattice Boltzmann boundary conditions via singular forces: irregular expansion analysis and numerical investigations
    Computer and Mathematics with Applications, 58(5), pp. 930-939 (2009). (PDF, ca. 360kb)
  • A. Caiazzo, M. Junk, M. Rheinlaender. Comparison of analysis techniques for the lattice Boltzmann method
    Computer and Mathematics with Applications, 58(5), pp. 883-897 (2009).
  • A. Caiazzo, J.L. Falcone, B. Chopard, A.G. Hoekstra. Asymptotic Analysis of Complex Automata models for Reaction-Diffusion systems
    Applied Numerical Mathematics 59, pp. 2023-2034 (2009). doi:10.1016/j.apnum.2009.04.001 (PDF, ca. 300kb) .
  • E. Lorenz, A. Caiazzo, A.G. Hoekstra. Lees-Edwards boundary conditions for lattice Boltzmann suspension simulations.
    Physical Review E, 79(3) 036706, (2009) doi: 10.1103/PhysRevE.79.036706
  • E. Lorenz, A. Caiazzo, A.G. Hoekstra. Corrected momentum exchange method for lattice Boltzmann simulations of suspension flow.
    Physical Review E, 79(3), 036705, (2009) doi: 10.1103/PhysRevE.79.036705
  • A. Caiazzo. Analysis of lattice Boltzmann nodes initialization in Moving Boundary problems.
    Progress in Computational Fluid Dynamics, 8(1-4) pp. 3-10 (2008)
    doi:10.1504/PCFD.2008.018074 (PDF, ca. 200kb)
  • A. Caiazzo, M. Junk. Boundary Forces in lattice Boltzmann: analysis of Momentum Exchange algorithm.
    Computers and Mathematics with Applications, 55(7), pp. 1415-1423 (2008)
    doi:10.1016/j.camwa.2007.08.004 (PDF, ca. 200kb)
  • A. Caiazzo. Analysis of lattice Boltzmann initialization routines.
    J. Stat. Phys. 121(1-2), pp. 37-48 (2005)
    doi:10.1007/s10955-005-7010-5 (PDF, ca. 190kb)
  • Doctoral Dissertation (February 2007):
    Asymptotic Analysis of lattice Boltzmann method for Fluid-Structure Interaction problems.
    Techische Universtitaet, Kaiserslautern & Scuola Normale Superiore, Pisa
    (PDF, ca. 2,35Mb) , (DJVU, ca. 1,45Mb)
  • Habilitation thesis: Modeling of biological flows and tissues, FU Berlin, 2016



Ongoing work & collaborations

Multiscale modeling of pororelastic tissue - Magnetic Resonance Elastography
(with I. Sack, J.Mura, D. Peterseim, L. Heltai) Hemodynamics in the Aorta
(with V. John, L. Goubergits) Hybrid multiscale modeling for cancer growth
(with M. Chaplain, C. MacNamara, I. Ramis-Conde)

Previous Projects

Modeling of Venous Hemodynamics (with E. Toro, L. Müller, G. Montecinos) Numerical Simulation of Biological Flows Coupling of free flows and porous media flows for fuel cells modeling Reduced order models for incompressible flows COAST: Multiscale Coupling of Cellular Automata for Simulations of Complex Systems
(at University of Amsterdam, 2007-2009) Asymptotic analysis of Lattice Boltzmann Method
(with M.Junk, University of Konstanz, and ITWM Kaiserslautern, 2004-2008)


Estimation of microscale porosity using an homogenized model

Joint work with: J.Mura

Disk connected to a spring (lattice Boltzmann with rigid obstacle)

Joint work with: M.Junk

Stented abdominal aortic aneurysm (immersed stent as porous interface)

Joint work with: V.Martin, J.-F. Gerbeau, M.Fernandez

Blood flow in pulmonary artery (FSI + simplified model of pulmonary valve)

Joint work with: J.-F.Gerbeau, M.Fernandez, I.Vignon-Clementel

Multiscale model of in-stent restenosis

Coupled simulation of blood flow, drug diffusion, cellular tissue.
Joint work with: D.Evans,J.-L.Falcone, J.Hegewald, E.Lorenz, B.Stahl, D.Wang, J. Bernsdorf, B. Chopard, R. Hose, M. Krafczyk, P. Lawford, D. Walker, A.G. Hoekstra