

BERGAMASCHI LUCA
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Office hours
(updated on 14/06/2018 15:03)
Proposals for thesis
 Mixed constraint preconditioners for Saddle Point linear systems arising from stabilized discretization of the Stokes Problem.
 Lowrank updated of preconditioners for the JacobiDavidson method Curriculum Vitae
Luca Bergamaschi received in 1994 the PhD in Computational Mathematics. From July 1995 to September 2007 he has been researcher in the field of Numerical Analyis at the Department of Civil Environmental and Architectural Engineering (University of Paduao). From October 1st, 2007 he is Associate Professor at the same department. He is currently teaching two basic courses of Calcolo Numerico and one of Calculus at the School of Engineering.
His scientific interests concern numerical linear algebra (iterative solution of large linear systems and eigenproblems), parallel algorithms in the solution of constrained optimization problems and discretized partial differential equations arising from flow, transport and geomechanical problems. He took part in several italian and european research projects among which the EC project Radionuclide Contamination of Soils and Groundwater at the Lake Karachai Waste Disposal Site (Russia) and the Chernobyl Accident Site (Ukraine): Field Analysis and Modeling Study. Luca Bergamaschi is author of about 120 scientific papers in international refereed journals, books and conference proceedings. Lecturer's Curriculum (PDF): 9B561EF76499CA365F2C7D7B1B1CDD00.pdf Research areas
 Lowrank update of preconditioners for sequences of linear systems.
 Preconditioners for iterative eigensolvers for the partial symmetric eigenvalue problem.  Preconditioners of KKT systems arising in the Interior Point solution of Constrained Optimization problems. Publications
RECENT PUBLICATIONS
L.Bergamaschi and A.Martinez. Generalized block tuned preconditioners for SPD eigensolvers. Springer INdAM Series, 2018. submitted. L.Bergamaschi, E.Facca, A.Martinez, and M.Putti. Spectral preconditioners for the efficient numerical solution of a continuous branched transport model. J. Comput. Appl. Math., 2018. Published online on Jan 31, 2018. L.Bergamaschi, V.De Simone, D.{di Serafino}, and A.Martinezez. BFGSlike updates of constraint preconditioners for sequences of KKT linear systems. Numer. Lin. Alg. Appl., 2018. Published online on Feb 6, 2018. L.Bergamaschi and A.Martinez. Spectral acceleration of parallel iterative eigensolvers for large scale scientific computing. Advances in Parallel Computing, 32:107116, 2018. L.Bergamaschi and E.Bozzo. Computing the smallest eigenpairs of the graph Laplacian. S$\vec{e$MA Journal}, 75:116, 2018. L.Bergamaschi and A.Martinez. Twostage spectral preconditioners for iterative eigensolvers. Numer. Lin. Alg. Appl., {24}({3}):{114}, 2017. L.Bergamaschi and A.Martinez. Efficiently preconditioned inexact Newton methods for large symmetric eigenvalue problems. Optimization Methods & Software, 30:301322, 2015. A.Martinez, J.Mas, and M.Putti. Lowrank update of preconditioners for the nonlinear Richard's equation. Mathematical and Computer Modelling, 57(78):19331941, 2013. L.Bergamaschi and A.Martinez. Banded target matrices and recursive FSAI for parallel preconditioning. Numerical Algorithms, 61(2):223241, 2012. L.Bergamaschi and A.Martinez. RMCP: Relaxed mixed constraint preconditioners for saddle point linear systems arising in geomechanics. Comp. Methods App. Mech. Engrg., {221222}:{5462}, 2012. L.Bergamaschi, A.Martinez, and G.Pini. Parallel Rayleigh {Q}uotient optimization with {FSAI}based preconditioning. J. Applied Mathematics, 2012, Article ID 872901, 14 pages, 2012. L.Bergamaschi. Eigenvalue distribution of constraintpreconditioned symmetric saddle point matrices. Numer. Lin. Alg. Appl., {19}({4}):{754772}, 2012. L.Bergamaschi, R.Bru, A.Martinez, and M.Putti. QuasiNewton acceleration of {ILU} preconditioners for nonlinear twophase flow equations in porous media. Advances in Engineering Software, 46(1):6368, 2012. L.Bergamaschi and A.Martinez. FSAIbased parallel mixed constraint preconditioners for saddle point problems arising in geomechanics. J. Comput. Appl. Math., 236(3):308318, 2011. L.Bergamaschi, R.Bru, and A.Martinez. Lowrank update of preconditioners for the inexact Newton method with SPD jacobian. Mathematical and Computer Modelling, 54(78):18631873, 2011. L.Bergamaschi, M.Ferronato, and G.Gambolati. Performance and robustness of block constraint preconditioners in finite element coupled consolidation problems. Int. J. Numer. Methods Engrg., 81(3):381402, 2010. A.Martinez, L.Bergamaschi, M.Caliari, and M.Vianello. A massively parallel exponential integrator for adectiondiffusion models. J. Comput. Appl. Math., 231(1):8291, 2009. L.Bergamaschi, M.Ferronato, and G.Gambolati. Mixed constraint preconditioners for the solution to FE coupled consolidation equations. J. Comp. Phys., 227(23):98859897, 2008. Lecturer's Publications (PDF): 9B561EF76499CA365F2C7D7B1B1CDD00.pdf List of taught course units in A.Y. 2018/19


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