The research unit focuses on the construction, theoretical analysis and implementation of numerical methods for partial differential equations and for mathematical models in applied sciences and scientific computing.

Keywords

numerical methods for partial differential equations, finite elements, spectral elements, isogeometric analysis, mimetic discretizations, adaptive methods, phase transition problems, domain decomposition methods, computational electrocardiology, computational neuroscience, numerical methods for conservation laws ,numerical methods in image analysis, computational biology

Pubblications

L. Beirao da Veiga, D. Cho, L.F. Pavarino, S. Scacchi. Overlapping Schwarz methods for Isogeometric Analysis. SIAM J. Numer. Anal., 50 (3), 1394-1416, 2012.

F. Fierro, A. Veeser. A posteriori error estimators, gradient recovery by averaging, and superconvergence. Numer. Math. 103 (2), 267-298, 2006.

G. Aletti, P. Causin, G. Naldi, M. Semplice . A Multiscale Computational Model of Chemotactic Axon Guidance. In: Handbook of Research on Computational and Systems Biology : Interdisciplinary Applications (2011), ISBN: 978-1-60960-491-2

L. F. Pavarino, E. Zampieri. Implicit spectral element methods and Neumann-Neumann preconditioners for acoustic waves. Comp. Meth. Appl. Mech. Eng. 195/19-22 (2006) 2649-2673.

R. H. Nochetto, G. Savaré, C. Verdi. A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Comm. Pure Appl. Math. 53 (5), 525-589, 2000.

Funded Projects related to the Research Theme

PRIN2008: Finite element methods: adaptivity and applications

PRIN2009: Domain decomposition methods for elliptic problems and reaction-diffusion systems

PRIN 2009, Advanced numerical methods for evolution equations and multiscale problems

FIRB2011: Isogeometric Methods

MAE, Italia-India 2012-2014: Cerebellum inspired approach for pattern classification in robots

Components

Members from the Department of Mathematics
Lorenzo BEIRAO DA VEIGA		info
Nicoletta BRESSAN		info
Paola CAUSIN		info
Francesca FIERRO		info
Giovanni NALDI		info
Luca PAVARINO		info
Simone SCACCHI		info
Andreas VEESER		info
Claudio VERDI		info
Elena ZAMPIERI		info