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Alessio Fumagalli

Postdoctoral fellow
  • E-mailAlessio.Fumagalli@uib.no
  • Phone+47 55 58 28 19+47 458 42 914
  • Visitor Address
    Realfagbygget, Allégt. 41
  • Postal Address
    Postboks 7803
    5020 Bergen

Personal data

Citizenship Italian

Place of birth Lecco (LC) 23900, Italy

 

Research interest

Main research topic: modelling and simulation of fluid flows in fractured porous media.

  • Partial differential equations and approximation methods (finite element and finite volume methods).
  • Numerical modelling of multi-phase flows in porous media.
  • Extended finite element method (XFEM).
  • Virtual element method (VEM).
  • Reduced models to handle fractures and faults in underground.
  • Numerical upscaling in heterogeneous reservoirs.

Professional experience

  • 2015, Oct. - 2018, Sept. Postdoctoral fellow at the Department of Mathematics, University of Bergen, Bergen, Norway. Advisor Eirik Keilegavlen and Inga Berre. Project title An integrated geological and mathematical framework for the characterization, modelling and simulation of fractured geothermal reservoir.
  • 2014, March - 2015, Sept. Postdoctoral fellow at the Department of Mathematics, Politecnico di Milano, Milan, Italy. Advisor Luca Formaggia. Project title Modelli numerici per tecniche di upscaling innovative per flussi in mezzi porosi eterogenei e fratturati (Numerical methods for upscaling in fractured and heterogeneous porous media). In collaboration with ENI S.p.a. Exploration & Production Division.
  • 2013, March - 2014, Feb. Postdoctoral fellow at the Department of Technologie, Informatique et Mathématiques Appliquées, Institut Française du Pétrole - Energies nouvelles (IFP - Energies nouvelles), Rueil-Malmaison, Paris, France. Advisor Isabelle Faille. Project title Etude des schémas hybrides pour la modélisation des failles conductices (Hybrid schemes for conductive fault modelling). In collaboration with the research group POMDAPI at Institut national de recherche en informatique et en automatique (Inria) Paris-Rocquencourt: Jérôme Jaffré and Jean E. Roberts.
  • 2012, May - 2013, Feb. Postdoctoral fellow at the Department of Mathematics, Politecnico di Milano, Milan, Italy. Advisor Luca Formaggia. Project title Modelli numerici tridimensionali per trasporto bifase in mezzi fratturati in ambito parallelo (Three-dimensional numerical modelling for two-phases flows in fractured porous media and in parallel computing framework). In collaboration with ENI S.p.a. Exploration & Production Division.
  • 2010, Jan. - 2013, Feb. Member of the administrative board and developer community of the finite element library LifeV. See www.lifev.org and https://github.com/lifev/lifev.
  • 2010, Sept. and 2011, Feb. Scientific collaboration with Michel Kern, Inria Roquencourt, Paris France, in writing and testing a three-dimensional two-phase flow solver in a parallel computing framework.

Education

  • 2009, Jan. - 2012, May Doctor of Philosophy in Mathematical Models and Methods in Engineering at Politecnico di Milano, Italy. Thesis title Numerical Modelling of Flows in Fractured Porous Media by the XFEM Method. Advisor Luca Formaggia. External examiner Paolo Ruffo and Jérôme Jaffré. Members of the dissertation committee: Maurizio Falcone, Miguel Fernandez, Jérôme Jaffré, Paolo Ruffo and Enrico Zio. In collaboration with ENI S.p.a. Exploration & Production Division.
  • 2006, Sept. - 2008, Dec. Master degree in Mathematical Engineering at Politecnico di Milano, Italy. Thesis title Un problema con discontinuità libera per una trave elasto-plastica (A free discontinuity problem for an elastic-plastic cantilever). Advisor Franco Tomarelli. Final mark 110/110.
  • 2003, Sept. - 2006, Sept. Bachelor degree in Mathematical Engineering at Politecnico di Milano, Italy. Thesis title Algoritmi adattivi per l’equazione di Black e Scholes (Adaptive algorithms for the Black and Scholes equation). Advisor Alessandro Veneziani. Final mark 100/110.
  • 1998, Sept. - 2003, July Diploma of secondary education with specialization in informatics. Technical institute S. Ten. Vasc. A. Badoni, Lecco, Italy. Final mark 90/100.

Research Support

  • 2016, Nov. - 2017, June Financing institution Akademia Agreement 2016. Grant for academic exchanges and travel expenses (25000 NOK).
  • 2016, Apr. - 2017, June Financing institution Meltzer Research Fund. Grant for academic exchanges and travel expenses (20000 NOK).
  • 2015, Dec. - 2016, Sept. Financing institution Akademia Agreement 2015. Grant for academic exchanges and travel expenses (20000 NOK).
  • 2014, Sept. - 2015, Sept. Financing institution Istituto Nazionale di Alta Matematica, Gruppo Nazionale per il Calcolo Scientifico. Grant “Contributo Progetto Giovani Ricercatori 2014”, for conference and travel expenses (1500 EUR).

Teaching activities

Assistant and responsible for laboratory sessions
  • A. Y. 2014-2015: undergraduate course Curve e Superfici: Analisi Geometrico-Differenziale (Curves and Surfaces: Differential and Geometrical Analyses), Fashion Design, Politecnico di Milano, Anna Scotti.
  • A.Y. 2010-2011, 2011-2012: undergraduate course Matematica Numerica (Numerical Mathematics), Mathematical Engineering, Politecnico di Milano, Stefano Micheletti.
  • A.Y. 2010-2011, 2011-2012: graduate course Programmazione Avanzata per il Calcolo Scientifico (Advance Programming for Scientific Computing), Mathematical Engineering, Politecnico di Milano. Luca Formaggia.
  • A.Y. 2009-2010: undergraduate course Metodi Analitici e Numerici per l’Ingegneria (Analytical and Numerical Methods for the Engineer), Mechanical Engineering, Politecnico di Milano. Maria Cristina Cerutti.
  • A.Y. 2008-2009, 2009-2010: undergraduate course Calcolo Numerico (Numerical Computing), Biomedical Engineering, Politecnico di Milano. Davide Ambrosi.
Tutoring
  • A.Y. 2010-2011, 2011-2012: graduate course Programmazione Avanzata per il Calcolo Scientifico (Advance Programming for Scientific Computing), Mathematical Engineering, Politecnico di Milano. Luca Formaggia.

Scientific activities

Articles published
  • Bernd Flemisch, Inga Berre, Wietse Boon, Alessio Fumagalli, Nicolas Schwenck, Anna Scotti, Ivar Stefansson, and Alexandru Tatomir. “Benchmark of single-phase flow in fractured porous media with non-conforming discretization methods”. In: Advances in Water Resources 111 (Jan. 2018), pp. 239–258. doi: 10.1016/j.advwatres.2017.10.036
  • Alessio Fumagalli and Eirik Keilegavlen. “Dual Virtual Element Method for Discrete Fractures Networks”. In: SIAM Journal on Scientific Computing 40.1 (2018), B228–B258. doi: doi.org/10.1137/16M1098231 11. Alessio Fumagalli, Stefano Zonca, and Luca Formaggia. “Advances in computation of local problems for flow-based upscaling in fractured reservoirs”. In: Mathematics and Computers in Simulation 137 (July 2017), pp. 299–324. doi: 10.1016/j.matcom.2017.01.007
  • Marco Del Pra, Alessio Fumagalli, and Anna Scotti. “Well posedness of fully coupled fracture/bulk Darcy flow with XFEM”. In: SIAM Journal on Numerical Analysis (2016). Accepted
  • Bernd Flemisch, Alessio Fumagalli, and Anna Scotti. “A Review of the XFEM-Based Approximation of Flow in Fractured Porous Media”. In: Advances in Discretization Methods: Discontinuities, Virtual Elements, Fictitious Domain Methods. Ed. by Giulio Ventura and Elena Benvenuti. Vol. 12. SEMA SIMAI Springer Series. Cham: Springer International Publishing, 2016. Chap. Advances in Discretization Methods, pp. 47–76. isbn: 978-3-319-41246-7. doi: 10.1007/978-3-319-41246-7˙3. url: http://dx.doi.org/10.1007/978-3-319-41246-7_3
  • Alessio Fumagalli, Luca Pasquale, Stefano Zonca, and Stefano Micheletti. “An upscaling procedure for fractured reservoirs with embedded grids”. In: Water Resources Research 52.8 (2016), pp. 6506–6525. issn: 1944-7973. doi: 10.1002/2015WR017729. url: http://dx.doi.org/10.1002/2015WR017729
  • Isabelle Faille, Alessio Fumagalli, Jérôme Jaffré, and Jean E. Roberts. “Model reduction and discretization using hybrid finite volumes of flow in porous media containing faults”. In: Computational Geosciences 20.2 (2016), pp. 317–339. issn: 1573-1499. doi: 10.1007/s10596-016-9558-3. url: http://link.springer.com/article/10.1007%2Fs10596-016-9558-3
  • Alberto Ferroni, Luca Formaggia, and Alessio Fumagalli. “Numerical analysis of Darcy problem on surfaces”. In: ESAIM: Mathematical Modelling and Numerical Analysis (2015). doi: 10.1051/m2an/2015095. url: http://www.esaim-m2an.org/component/article?access=doi&doi=10.1051/m2an/2015095
  • Mauro Castelli and Alessio Fumagalli. “An evolutionary system for exploitation of fractured geothermal reservoirs”. In: Computational Geosciences 20.2 (2016), pp. 385–396. issn: 1573-1499. doi: 10.1007/s10596-015-9552-1. url: http://link.springer.com/article/10.1007/s10596-015-9552-1
  • Alessio Fumagalli and Stefano Zonca. “An efficient upscaling procedure for highly fractured reservoirs”. In: Proceedings of the 6th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources. 2015
  • Luca Formaggia, Anna Scotti, and Alessio Fumagalli. “The Challange of Complexity in Sedimentary and Reservoir Simulations”. In: Proceedings of the 23rd Conference on Computational Mechanics ACME-UK 2015. Ed. by Antonio J. Gil and Rubén Sevilla. Apr. 2015, pp. 33–36. isbn: 978-0-9567462-4-5. url: http://eng-intranet-web.swan.ac.uk/acme2015/ACMEUK2015.pdf
  • Alessio Fumagalli and Anna Scotti. “An Efficient XFEM Approximation of Darcy Flows in Arbitrarily Fractured Porous Media”. In: Oil and Gas Sciences and Technologies - Revue d’IFP Energies Nouvelles 69.4 (Apr. 2014), pp. 555–564. doi: 10.2516/ogst/2013192. url: ogst.ifpenergiesnouvelles.fr/articles/ogst/abs/first/ogst130007/ogst130007.html
  • Luca Formaggia, Alessio Fumagalli, Anna Scotti, and Paolo Ruffo. “A reduced model for Darcy’s problem in networks of fractures”. In: ESAIM: Mathematical Modelling and Numerical Analysis 48 (July 2014), pp. 1089–1116. issn: 1290-3841. doi: 10.1051/m2an/2013132. url: http://www.esaim-m2an.org/article_S0764583X13001325
  • Alessio Fumagalli and Anna Scotti. “A numerical method for two-phase flow in fractured porous media with non-matching grids”. In: Advances in Water Resources 62, Part C.0 (2013). Computational Methods in Geologic CO2 Sequestration, pp. 454–464. issn: 0309-1708. doi: 10.1016/j.advwatres.2013.04.001. url: http://www.sciencedirect.com/science/article/pii/S0309170813000523
  • Alessio Fumagalli and Anna Scotti. “A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids”. In: Numerical Mathematics and Advanced Applications 2011. Ed. by Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, and Michael V. Tretyakov. Springer Berlin Heidelberg, 2013, pp. 499–507. isbn: 978-3-642-33133-6. doi: 10.1007/978-3-642-33134-3˙53. url: link.springer.com/chapter/10.1007%2F978-3-642-33134-3_53
  • Alessio Fumagalli and Anna Scotti. “An unfitted method for two-phase flow in fractured porous media”. In: CMWR 2012 Proceedings. 2012. url: http://cmwr2012.cee.illinois.edu/Papers/Special%20Sessions/CO2%20Sequestration/Scotti.Anna.pdf
  • Alessio Fumagalli and Anna Scotti. “Numerical modelling of multiphase subsurface flow in the presence of fractures”. In: Communications in Applied and Industrial Mathematics 3.1 (2011). issn: 2038-0909. doi: 10.1685/journal.caim.380. url: http://caim.simai.eu/index.php/caim/article/view/380
Articles subject to reviewing
  • Bernd Flemisch, Inga Berre, Wietse Boon, Alessio Fumagalli, Nicolas Schwenck, Anna Scotti, Iva Stefansson, and Alexandru Tatomir. “Benchmark of single-phase flow in fractured porous media with non-conforming discretization methods”. Submitted to: Advances in Water Resources, available at arXiv:1701.01496 [math.NA]. 2016
  • Alessio Fumagalli and Eirik Keilegavlen. “Dual Virtual Element Method for Discrete Fractures Networks”. Submitted to: SIAM Journal on Scientific Computing (SISC), available at: arXiv:1610.02905 [math.NA]. 2016
  • Alessio Fumagalli, Stefano Zonca, and Luca Formaggia. “Advances in computation of local problems for flow-based upscaling in fractured reservoirs”. Submitted to: Mathematics and Computers in Simulation. 2015
Articles in preparation
  • Alessio Fumagalli, Luca Pasquale, Stefano Zonca, and Stefano Micheletti. “A numerical flow-based upscaling techniques for highly fractured porous media”. In preparation for: Computer Methods in Applied Mechanics and Engineering. 2015
  • Isabelle Faille, Alessio Fumagalli, Jérôme Jaffré, and Jean E. Roberts. “A double-layer reduced model for fault flow on slipping domains with hybrid finite volume scheme”. In preparation for: SIAM - Journal of Scientific Computing. 2014
Oral presentations in conferences, workshops and seminars
  • Integrated flow simulation and outcrop interpretation in fractured geothermal systems. Seminar at Department of Applied Mathematics in SINTEF, Oslo, Norway. 21 September 2016. Co-author Eirik Keilegavlen.
  • An integrated geological and mathematical framework for geothermal reservoirs. from outcrops to a VEM approximation. Seminar at Department of Mathematics in University of Milano-Bicocca, Milan, Italy. 2 September 2016. Co-author Eirik Keilegavlen.
  • An integrated geological and mathematical framework for geothermal reservoirs. Flow & Transport in Permeable Media, Gordon Research Seminar. PGA Catalunya Business and Convention, Girona, Spain. 30-31 July 2016. Co-author Eirik Keilegavlen.
  • An integrated geological and mathematical framework for geothermal reservoirs. 8th International Conference on Porous Media of the International Society of Porous Media (InterPore). Hilton Cincinnati Netherland Plaza, Cincinnati, Ohio, USA. 9-12 May 2016. Co-author Eirik Keilegavlen.
  • Non-matching schemes for upscaling in fractured porous media. eXtended Discretization MethodS (XDMS) 2015. University of Ferrara, Ferrara, Italy. 9-11 September 2015. Co-authors Anna Scotti, Stefano Zonca.
  • Upscaling techniques for highly fractured porous media with non-matching discretization. SIAM Mathematical & Computational Issues on Geosciences 2015. Stanford University, Stanford, California USA. 29 June-2 July 2015. Co-authors Paola Panfili, Luca Pasquale, Stefano Zonca.
  • An efficient upscaling technique for highly fractured reservoir. International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources (MAMERN) 2015. University of Pau, France. 1-5 June 2015. Co-authors Paola Panfili, Luca Pasquale, Stefano Zonca.
  • A double-layer reduced model for flow in fault zones using hybrid finite volume schemes. SIAM Annual Meeting 2014. The Palmer House, Chicago, Illinois, USA. 7-11 July 2014. Co-authors Isabelle Faille, Jérôme Jaffré, Jean E. Roberts.
  • Double-layer reduced model for faults with the hybrid finite volume scheme. Computational Methods in Water Resources. University of Stuttgart, Germany. 10-13 June 2014. Co-authors Isabelle Faille, Jérôme Jaffré, Jean E. Roberts.
  • Numerical methods for flows in fractured porous media. FRACINI first workshop. INRIA Rennes - Bretagne Atlantique, Rennes, France. 28-30 April 2014. Co-authors Luca Formaggia, Anna Scotti.
  • XFEM for heterogeneous porous media with networks of fractures. XFEM 2013, thematic conference of ECCOMAS. Espace Tête d’Or, Lyon, France. 11-13 September 2013. Co-authors Luca Formaggia, Anna Scotti.
  • Assessment of an HPC two-phase flow solver in porous media for realistic cases. SIAM Mathematical & Computational Issues on Geosciences. Department of Mathematics University of Padova, Italy. 17-20 June 2013. Co-authors Antonio Cervone, Luca Formaggia.
  • XFEM for Darcy problems with networks of fractures. Società Italiana per la Matematica Applicata e Industriale (SIMAI) Biannual Congress. Politecnico di Torino, Turin, Italy. 25-26 June 2012. Co-authors Luca Formaggia, Anna Scotti.
  • Reduced models for intersecting fractures in porous media with non-matching grids. 4th International Conference on Porous Media of the International Society of Porous Media (InterPore). Purdue University, Lafayette, Indiana, USA. 14-16 May 2012. Co-authors Luca Formaggia, Anna Scotti.
  • Modelli ridotti per flussi in mezzi porosi fratturati con griglie di calcolo non conformi. XIX Congresso dell’Unione Matematica Italiana. Dipartimento di Matematica dell’Università di Bologna, Bologna, Italy. 12-17 September 2011. Co-author Anna Scotti.
  • Interface Conditions for Fluid Flow in Porous Media with Reduced Order and Non Matching Fractures. SIAM Mathematical & Computational Issues on Geosciences. Hilton Long Beach Centre, Long Beach, California, USA. 21-24 March 2011. Co-author Anna Scotti.
  • Models for oil expulsion and migration in fractured media. Reduction Strategies for the Simulation of Complex Problems. MOX, Department of Mathematics, Politecnico di Milano, Milan, Italy. 19-21 January 2011. Co-authors Luca Formaggia, Anna Scotti
  • Darcy solvers. Second LifeV annual meeting. MOX, Department of Mathematics, Politecnico di Milano, Milan, Italy. 3-4 January 2011.
  • Computational aspects for oil secondary migration. Seminar held at INRIA Roquencourt, Paris, France. 16 September 2010. Organizers: Jérôme Jaffré, Michel Kern.
Poster presentations in conferences and workshops
  • An integrated geological and mathematical framework for geothermal reservoirs. Flow & Transport in Permeable Media, Gordon Research Seminar and Gordon Research Conference. PGA Catalunya Business and Convention, Girona, Spain. 30-31 July and 1-5 August 2016. Co-author Eirik Keilegavlen.
  • LifeV::Geophysics@EuroTUG2012. European Trilinos user group 2012 (EuroTUG). École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland. 4-6 June 2012. Co-authors Antonio Cervone, Nur Fadel, Guido Iori, Michel Kern.
  • Reduced models for fractures in porous media with non-matching grids. 4th International Conference on Porous Media of the International Society of Porous Media (InterPore). Purdue University, Lafayette, Indiana, USA. 14-16 May 2012. Co-authors Luca Formaggia, Anna Scotti.
Organization of minisymposia and conferences
  • Member of the organization committee of the conference eXtended Discretization MethodS (XDMS) 2015. University of Ferrara, Ferrara, Italy. 9-11 September 2015.
  • Minisymposium title Enriched methods for flow and mechanics in heterogeneous porous media at eXtended Discretization MethodS 2015. 9 participants. University of Ferrara, Ferrara, Italy. 9-11 September 2015. Co-organizers Stefano Berrone, Oliver Sander, Anna Scotti.
  • Minisymposium title Advances in Numerical Methods for Complex Fractured-porous Media at SIAM Mathematical & Computational Issues on Geosciences 2015, 6 participants. Stanford University, Stanford, California USA. 29 June-2 July 2015. Co-organizers Stefano Berrone, Sandra Pieraccini, Anna Scotti.
  • Minisymposium title Modeling and Numerical Issues for fractured-porous media at SIAM Annual Meeting 2014, 12 participants. The Palmer House, Chicago, Illinois, USA. 7-11 July 2014. Co-organizer Géraldine Pichot.
  • Minisymposium title Numerical resolution of PDE: the potentiality of the LifeV library at Società Italiana per la Matematica Applicata e Industriale (SIMAI) Biannual Congress, 4 participants. Politecnico di Torino, Turin, Italy. 25-26 June 2012. Co-organizer Franco Dassi.
Student advising
  • Marco Del Pra. “Mixed and extended finite elements for flow in fractured porous media”. Advisor: Lourenço Beirão Da Veiga, Luca Formaggia. Co-advisor: Anna Scotti, Alessio Fumagalli. Master Thesis. Università degli Studi di Milano, 2015
  • Alberto Ferroni. “Numerical Simulation of the Darcy’s Problem on Surfaces in ℝ3”. Advisor: Luca Formaggia. Co-advisor: Alessio Fumagalli. Master Thesis. Politecnico di Milano, July 2013
  • Guido Iori. “Una metodologia XFEM per problemi ellittici 3D con superfici di discontinuità”. Advisor: Luca Formaggia. Co-advisor: Alessio Fumagalli. Master Thesis. Politecnico di Milano, Dec. 2011

Academic duties

  • Member of four selection committees for Ph.D. positions in applied and computational mathematics related to “Toppforsk project: Thermo-Mechanical Subsurface Energy Storage (TheMSES)”. Department of Mathematics, University of Bergen. June and July 2016.
  • Internal examiner of the master thesis of David Landa Márban, “Modeling and Simulation of Microbial Enhanced Oil Recovery: a New Approach which Includes the Role of Interfacial Area”. 20th June 2016.
  • Internal examiner of the master thesis of Davide Illiano, “Iterative Schemes for Solving Coupled, non-Linear Flow and Transport in Porous Media”. 16th Dec. 2016.

Scientific refereeing activities

Reviewer of journals on numerical analysis and scientific computing: Computational Geosciences, Computers and Mathematics with Applications, Journal of Ambient Intelligence and Humanized Computing, SIAM Journal on Numerical Analysis (SINUM).

 

 

Treatment of personal informations is authorised according to the local privacy laws. Autorizzo il trattamento dei dati personali contenuti nel mio curriculum vitæ in base art. 13 del D. Lgs. 196/2003.

Journal articles
  • Flemisch, Bernd; Berre, Inga; Boon, Wietse; Fumagalli, Alessio; Schwenck, Nicolas; Scotti, Anna; Stefansson, Ivar; Tatomir, Alexandru. 2018. Benchmarks for single-phase flow in fractured porous media. Advances in Water Resources. 111: 239-258. doi: 10.1016/j.advwatres.2017.10.036
  • Fumagalli, Alessio. 2018. Dual virtual element method in presence of an inclusion. Applied Mathematics Letters. 86: 22-29. doi: 10.1016/j.aml.2018.06.004
  • Fumagalli, Alessio; Faille, Isabelle. 2018. A Double-Layer Reduced Model for Fault Flow on Slipping Domains with an Hybrid Finite Volume Scheme. Journal of Scientific Computing. 1-26. doi: 10.1007/s10915-018-0740-8
  • Fumagalli, Alessio; Keilegavlen, Eirik. 2018. Dual virtual element method for discrete fractures networks. SIAM Journal on Scientific Computing. 40: 228-258. doi: 10.1137/16M1098231
  • Fumagalli, Alessio; Keilegavlen, Eirik; Scialo, Stefano. 2018. Input and benchmarking data for flow simulations in discrete fracture networks. Data in Brief. 21: 1135-1139. doi: 10.1016/j.dib.2018.10.088
  • Nordbotten, Jan Martin; Boon, Wietse; Fumagalli, Alessio; Keilegavlen, Eirik. 2018. Unified approach to discretization of flow in fractured porous media. Computational Geosciences. 1-13. doi: 10.1007/s10596-018-9778-9
  • Fumagalli, Alessio; Pasquale, Luca; Zonca, Stefano; Micheletti, Stefano. 2016. An upscaling procedure for fractured reservoirs with embedded grids. Water resources research. 52: 6506-6525. doi: 10.1002/2015WR017729

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