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Structure Department of Civil, Environmental and Architectural Engineering
Telephone 0498275589
Qualification Professore associato confermato
Scientific sector MAT/08 - NUMERICAL ANALYSIS
University telephone book  Show

Office hours
Thursday from 14:00 to 16:30 Studio docente
(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.
- Low-rank updated of preconditioners for the Jacobi-Davidson 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
-- Low-rank 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.


L.Bergamaschi and A.Martinez.
Generalized block tuned preconditioners for SPD eigensolvers.
Springer INdAM Series, 2018.

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.
BFGS-like 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, 32:107-116, 2018.

L.Bergamaschi and E.Bozzo.
Computing the smallest eigenpairs of the graph Laplacian.
S$\vec{e$MA Journal}, 75:1-16, 2018.

L.Bergamaschi and A.Martinez.
Two-stage spectral preconditioners for iterative eigensolvers.
Numer. Lin. Alg. Appl., {24}({3}):{1-14}, 2017.

L.Bergamaschi and A.Martinez.
Efficiently preconditioned inexact Newton methods for large
symmetric eigenvalue problems.
Optimization Methods & Software, 30:301-322, 2015.

A.Martinez, J.Mas, and M.Putti.
Low-rank update of preconditioners for the nonlinear Richard's equation.
Mathematical and Computer Modelling, 57(7-8):1933-1941, 2013.

L.Bergamaschi and A.Martinez.
Banded target matrices and recursive FSAI for parallel preconditioning.
Numerical Algorithms, 61(2):223-241, 2012.

L.Bergamaschi and A.Martinez.
RMCP: Relaxed mixed constraint preconditioners for saddle point linear systems arising in geomechanics.
Comp. Methods App. Mech. Engrg., {221-222}:{54-62}, 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,

Eigenvalue distribution of constraint-preconditioned symmetric saddle point matrices.
Numer. Lin. Alg. Appl., {19}({4}):{754-772}, 2012.

L.Bergamaschi, R.Bru, A.Martinez, and M.Putti.
Quasi-Newton acceleration of {ILU} preconditioners for nonlinear two-phase flow equations in porous media.
Advances in Engineering Software, 46(1):63-68, 2012.

L.Bergamaschi and A.Martinez.
FSAI-based parallel mixed constraint preconditioners for saddle point problems arising in geomechanics.
J. Comput. Appl. Math., 236(3):308-318, 2011.

L.Bergamaschi, R.Bru, and A.Martinez.
Low-rank update of preconditioners for the inexact Newton method with SPD jacobian.
Mathematical and Computer Modelling, 54(7-8):1863-1873, 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):381-402, 2010.

A.Martinez, L.Bergamaschi, M.Caliari, and M.Vianello.
A massively parallel exponential integrator for adection-diffusion models.
J. Comput. Appl. Math., 231(1):82-91, 2009.

L.Bergamaschi, M.Ferronato, and G.Gambolati.
Mixed constraint preconditioners for the solution to FE coupled consolidation equations.
J. Comp. Phys., 227(23):9885-9897, 2008.

Lecturer's Publications (PDF): 9B561EF76499CA365F2C7D7B1B1CDD00.pdf

List of taught course units in A.Y. 2018/19
Degree course code (?) Degree course track Course unit code Course unit name Credits Year Period Lang. Teacher in charge
IN0533 COMMON INM0016658 6 1st Year First
IN2452 COMMON INP8083362 6 1st Year First
IN2191 COMMON INP5070378 6 1st Year First