Publications

Published or to appear

Analysis of the fully discrete Fat Boundary Method, coauthors: M. Ismail, B. Maury, Numerische Mathematik, to appear
A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory, coauthors: L. Castro, A.J.M. Ferreira, Composite Structures, to appear.
Domain decomposition strategies with black box subdomain solvers, ENUMATH 2009 Proc., to appear
An high order collocation method for the static and vibration analysis of composite plates using a first-order theory, coauthors: L. Castro, A.J.M. Ferreira, Composite Structures, 89(3), (2009)
Effcient design of residual based stabilization techniques for the three fields domain decomposition method, coathors: S. Falletta and G.M. Manzini, M3AS, 18(7) (2008)
The method of mothers for non-overlapping, non-matching DDM, coathors: F. Brezzi and G. Sagalli, Numer. Math., 107(3) (2007)
Analysis of substructuring preconditioners for Mortar methods in an Abstract Framework, coauthor: M. Pennacchio, Appl. Math. Lett., 20(2), (2007)
Local boundary estimates for the Lagrange Multiplier discretization of Dirichlet BVP with applications to domain decomposition, Calcolo 43(3), (2006)
Implementation of the Mortar Method in the Wavelet context, coauthors: S. Falletta, V. Perrier, Jour. of Sci. Comp., 29(2) (2006)
Recent Developments in Wavelet Methods for the solution of PDE's, in Atti del XVII Congresso dell'Unione Matematica Italiana, Milano, Settembre 2003 (2004)

The wavelet Mortar method in the adaptative framework, coauthor: A.S. Piquemal, C.R. Acad. Sci. Paris., Série I, Math. 338(8) (2004)
Preconditioning the Mortar Method by Substructuring, coauthor: M. Pennacchio, ANACM 1(2), (2004)
The Fat Boundary Method: semi-discrete scheme and numerical experiments, coauthors: M. Ismail, B. Maury, in Proc. of XV International Conf. on Domain Decomposition Methods, Berlin (Germany) (2003)
Nonmatching grids and Lagrange multipliers, coauthors: F. Brezzi, L.D. Marini, G. Sangalli, in Proc. of XV International Conf. on Domain Decomposition Methods, Berlin (Germany) (2003)
A nonlinear Richardson algorithm for the solution of elliptic PDE's, coauthors S. Mazet and M. Verani, M3AS, 13 (2003)
Wavelets on ]0,1[ at large scales , coauthor: S. Falletta, Journal of Fourier Analysis and Applications, 9(3) (2003)
Substructuring Preconditioners for the Three Fields Domain Decomposition Method Math. Comp. 73 (2003)
Analysis of a stabilized three fields domain decomposition method, Numer. Math. 63(4) (2003)
Convergence of a non-linear wavelet algorithm for the solution of PDE's, coauthor: M. Verani, Appl. Math. Lett. 16(1) (2003)

An Object Oriented implementation of the Mortar Method with approximate constraint, coauthor: S. Falletta, Pubbl. IMATI n. 10-PV (2004)
Substructuring Preconditioners for high order Mortar Methods, coauthor: M. Pennacchio, Pubbl. IMATI n. 12-PV (2004)
Approximation and super-approximation properties of weakly local spaces, coauthor: G. Iovane, Pubbl. IMATI n. 25PV08/22/0 (2008)
Adaptive wavelet collocation for plane elasticity problem, coauthor: L. Castro, Pubbl. IMATI n. 26PV08/23/0 (2008)

Updated: July 2010