List of Publications

Published or to appear

• S. Bertoluzza, Discretization of Parabolic Inequalities, Calcolo 26 (1989)
• S. Bertoluzza, D. Funaro, Remarks about the Matrices Relative to the Pseudospectral Approximation of Neumann Problems in Proc. of IMACS Int. Symp. on ``Iterative Methods in Linear Algebra'', Brussels, 2-4 April 1991, R. Beauwens and P. de Groen eds., North Holla.
• S. Bertoluzza, Numerical Computation of Wavelet Expansion: Ws,p Error Estimates, Appl. Math. Letters, 4, n. 6 (1991).
• S. Bertoluzza, Some Error Estimates for Wavelet Expansion, Math. Mod. and Meth. in Appl. Sci., 2, n. 4 (1992)
• S. Bertoluzza, Y. Maday, J.C. Ravel, A dynamically Adaptive Wavelet Method for solving Pertial Differential Equations, Computer Methods in Applied Mechanics and Engineering, 116, (1994).
• S. Bertoluzza, G. Naldi, A Wavelet Collocation Method for the Numerical Solution of Pertial Differential Equations, Applied and Computational Harmonic Analysis, 3, 1--9 (1996).
• S. Bertoluzza, G. Naldi, Some Remarks on Wavelet Interpolation, Comput. Appl. Math., 13 n.1 (1994).
• S. Bertoluzza, G. Naldi, J.C. Ravel, Wavelet Methods for the Numerical Solution of Boundary Value Problems on the Interval, in ``Wavelets: Theory Algorithms and Applications'', C.K. Chui, L. Montefusco e L. Puccio eds, Academic Press (1994).
• M.G. Albanesi, S. Bertoluzza, On the Coupling of Human Visual System Model and Wavelet Transform for Image Compression, in SPIE Procedings, Vol. 2303 (1994), ``Mathematical Imaging, Wavelet Applications in Signal and Image processing''.
• S. Bertoluzza, A Posteriori Error Estimates for the Wavelet Galerkin Method, Applied Mathematics Letters 8, n. 5 (1995).
• S. Bertoluzza, Adaptive wavelet collocation method for the solution of Burgers Equation, Transport Theory and Statistical Physics 25, (1996).
• S. Bertoluzza, Adaptive wavelet collocation for the solution of steady state equation, SPIE Proceedengs v. 2491 "Wavelets Applications II'' (1995).
• M.G. Albanesi, S. Bertoluzza, Human Vision Model and Wavelets for High Quality Image Compression, in "Proceedings of Fifth International Conference on `Image Processing and its Applications' Heriot-Watt University, Edimburgo, 3-6 Luglio 1995.
• S. Bertoluzza, Interior Estimates for the wavelet galerkin method, Numerische Matematik, 78 (1997).
• S. Bertoluzza, On the Rate of Convergence of the Wavelet Galerkin Method, Proc. ICIAM 95.
• M.G. Albanesi, S. Bertoluzza, M. Ferretti, Human Visual Model and Wavelets for multi-resolution image coding, Vistas in Astronomy, 40 (1996).
• S. Bertoluzza, P. Pietra, Adaptive Wavelet Collocation for nonlinear BVPs, Proc. of ICAOS '96, Lecture Notes in Control and Information Sciences, Springer Verlag, London (1996).
• S. Bertoluzza, R. Masson, Espaces vitesse-pression d'ondelettes adaptatives satisfaisant la condition Inf-Sup, C.R.A.S., coauthor: R. Masson
• S. Bertoluzza, An Adaptive Collocation Method based on Interpolating Wavelets, in "Multiresolution Analysis and Wavelets for the Numerical Solution of Partial Differential Equations", W. Dahmen, A. Kurdila, P. Oswald eds., Academic Press (1997).
• S. Bertoluzza, Stabilization by Multiscale Decomposition , Appl. Math. Lett. 6, (1998)
• S. Bertoluzza, C. Canuto, A. Tabacco, Negative Norm Stabilization of Convection Diffusion Problems , Appl. Math. Lett. 13 (2000).
• S. Bertoluzza, Wavelet Stabilization of the Lagrange Multiplier Method, Numer. Mathem. 86 (2000).
• S. Bertoluzza, The discrete commutator property of approximation Spaces, C.R.A.S. - Serie I Math., t. 329, (1999)
• S. Bertoluzza, A. Kunoth, Wavelet Stabilization and Preconditioning for Domain Decomposition, IMA Jour. Numer. Anal. 20 (2000).
• S. Bertoluzza, C. Canuto, K. Urban, On the Adaptive Computation of Integrals of Wavelets, Appl. Numer. Math. 34, (2000).
• S. Bertoluzza, P. Pietra, Space Frequency Adaptive Approximation for Quantum Hydrodynamic Models Transport Theory and Stat. Phys. v. 28 (2000), pp. 375--395.
• S. Bertoluzza, V. Perrier, The Mortar Wavelet Method, Proc. ENUMATH 99 (1999).
• S. Bertoluzza, C. Canuto, A. Tabacco, Stable Discretizations of Convection-Diffusion Problems via Computable Negative Order Inner Products, SIAM Jour. Numer. Anal. v. 38 (2000).
• S. Bertoluzza, V. Perrier, The Mortar Method in the Wavelet Context, M2AN 35 (2001).
• Coupling wavelet and finite elements by the mortar method, coauthor: V. Perrier., C.R. Acad. Sci. Paris., Série I, Math. 332 (2001)
• S. Bertoluzza, M. Verani, Convergence of a non-linear wavelet algorithm for the solution of PDE's, coauthor: M. Verani, Appl. Math. Lett. 16(1) (2003)
• S. Bertoluzza, S. Falletta, V. Perrier, Wavelet/FEM Coupling by the mortar method, Lecture Notes in Comp. Sci. Eng. 23 (2002)
• S. Bertoluzza, L. Castro, Técnicas de colocacao baseadas em sistemas de wavelets na resolucao de problemas de elasticidade, in ``Métodos numéricos en Ingeniería V'', J.M. Goícolea, C. Mota Soares, M. Pastor, G. Bugeda (Eds.), 2002.
• S. Bertoluzza, Non conforming domain decomposition: The non conforming Steklov-Poincaré operator point of view, in Proc. of XIV International Conference on Domain Decomposition Method, Cocoyoc (Mexico), 2001.
• S. Bertoluzza, M. Ismail, B. Maury, The Fat Boundary Method: semi-discrete scheme and numerical experiments, in Proc. of XV International Conf. on Domain Decomposition Methods, Berlin (Germany) (2003)
• S. Bertoluzza, F. Brezzi, L.D. Marini, G. Sangalli, Nonmatching grids and Lagrange multipliers, in Proc. of XV International Conf. on Domain Decomposition Methods, Berlin (Germany) (2003)
• S Bertoluzza, S. Mazet, M. Verani, A nonlinear Richardson algorithm for the solution of elliptic PDE's, M3AS, 13 (2003)
• S. Bertoluzza, S. Falletta, Wavelets on ]0,1[ at large scales , Journal of Fourier Analysis and Applications, 9(3) (2003)
• S. Bertoluzza, Analysis of a stabilized three fields domain decomposition method, Numer. Math. 63(4) (2003)
• S. Bertoluzza, M. Verani, Convergence of a non-linear wavelet algorithm for the solution of PDE's, Appl. Math. Lett. 16(1) (2003) .
• S. Bertoluzza, A.S. Piquemal, The wavelet Mortar method in the adaptative framework, C.R. Acad. Sci. Paris., Série I, Math. 338(8) (2004)
• S. Bertoluzza, Substructuring Preconditioners for the three fields domain decomposition method, Math. of Comp. 73(246) (2004)

• S. Bertoluzza, M. Pennacchio, Preconditioning the Mortar Method by Substructuring, ANACM 1(2), (2004)

• S. Bertoluzza, Recent Developments in Wavelet Methods for the solution of PDE's, Bollettino dell'UMI, 8B(3), 2005
• J. Hoffman, C. Johnson, S. Bertoluzza, Subgrid Modeling for convection-diffusion-reaction in one space dimension using a Haar Multiresolution analysis, Computer Methods in Applied Mechanics and Engineering 194(1), (2005)
• S. Bertoluzza, Local boundary estimates for the Lagrange Multiplier discretization of Dirichlet BVP with applications to domain decomposition, Calcolo 43(3), (2006)
• S. Bertoluzza, S. Falletta, V. Perrier, Implementation of the Mortar Method in the Wavelet context, Jour. of Sci. Comp., 29(2) (2006)
• S. Bertoluzza, F. Brezzi, G. Sangalli. The method of mothers for non-overlapping, non-matching DDM, Numer. Math., 107(3) (2007)
• S. Bertoluzza, M. Pennacchio, Analysis of substructuring preconditioners for Mortar methods in an Abstract Framework, Appl. Math. Lett., 20(2), (2007)
• S. Bertoluzza, S. Falletta, G.M. Manzini, Effcient design of residual based stabilization techniques for the three .fields domain decomposition method, M3AS, 18(7) (2008)
• L. Castro, A.J.M. Ferreira, S. Bertoluzza, An high order collocation method for the static and vibration analysis of composite plates using a first-order theory, coauthors: Composite Structures, 89(3), (2009)

• L. Castro, A.J.M. Ferreira, S. Bertoluzza, R.C. Batra, J.N. Reddy, A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory, Composite Structures, 92(8) (2010)

• S. Bertoluzza, S. Falletta, Analysis of some injection bounds for Sobolev spaces by wavelet decomposition, Comptes Rendus - Mathématique 349 (2011).
• A.J.M. Ferreira, L.M. Castro, C.M.C. Roque, Reddy J.N., S. Bertoluzza, Buckling analysis of laminated plates by wavelets, Computers and structures, 89 (2011).
• A.J.M. Ferreira, L.M. Castro, S. Bertoluzza, A wavelet collocation approach for the analysis of laminated shells, Composites: Part B, 42(1) (2011)
• S. Bertoluzza, M. Ismail, B. Maury, Analysis of the fully discrete Fat Boundary Method, Numer. Math. 118(1), (2011).
• A.J.M. Ferreira, L.M. Castro, S. Bertoluzza, Analysis of plates on Winkler foundation by wavelet collocation, Meccanica, 46(4), (2011).
• S. Bertoluzza, Domain decomposition strategies with black box subdomain solvers. In Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology and Society, AIP Conference Proceedings 1368 (2011).
• S. Bertoluzza, G. Maggi, S. Tomatis, A Modular Registration Algorithm for Medical
  Images, in Image Analysis and Recognition, Lecture Notes in Computer Science 7950, 467--474 (2013).
• A. Samake, S. Bertoluzza, M. Pennacchio, C. Prud'homme, C. Zaza, A parallel implementation of the Mortar Method in 2D and 3D, ESAIM: Preceedings 43, 213--224 (2013).
• P. Antonietti, B. Ayuso, S. Bertoluzza, M. Pennacchio, Substructuring pre-
  conditioners for an h-p domain decomposition method with Interior Penalty mortaring,Calcolo 52(3), (2015)
• S. Bertoluzza, S. Del Pino, E. Labourasse, A conservative slide lines method for cell-centered semi-lagrangian and ALE schemes in 2D, M2AN 50(1), (2015)
• S. Bertoluzza, Analysis of a mesh dependent stabilization for the three fields domain decomposition method, Numer. Math. 133(1) (2016)
• S. Bertoluzza, M. Pennacchio, C. Prud'homme, A. Samake, Substructuring preconditioners for h-p mortar FEM, M2AN 50(4), (2016)
• S. Bertoluzza, V. Chabannes, C. Prud'homme, M. Szopos, Boundary conditions involving pressure for the Stokes problem with applications in computational haemodynamics, CMAME, to appear (2017) 
• S. Bertoluzza, A. Decoene, L. Lacouture, S. Martin, Local error estimates of the finite element method for an elliptic problem with a Dirac source term, NMPDE, to appear, (2017)
• S. Bertoluzza, V. Perrier, A new construction of boundary interpolating wavelets for fourth order problems, ACAP, to appear, (2017) DOI: 10.1007/s10440-017-0110-9
• M.G. Albanesi, R. Amadeo, S. Bertoluzza, G. Maggi, A New Class of Wavelet Based Metrics for Image Similarity Assessment, Journal of Mathematical Imaging and Vision, to appear (2017) DOI: 10.1007/s10851-017-0745-1

Books

• Numerical Solution of Partial Differential Equations, S. Bertoluzza, S. Falletta, G. Russo, C.-W. Shu, Advanced Courses in Mathematics CRM Barcelona, Birkhauser, Basel, (2009).
• Numerical Solution of Partial Differential Equations, S. Bertoluzza, S. Falletta, G. Russo, C.-W. Shu, Advanced Courses in Mathematics CRM Barcelona, Birkhauser, Basel, (2009).

Technical Reports

• Solution of Fourth Order Problems by a Boundary Approximation Method, Pubbl. IAN n. 755 (1990), coauthor: M. I. Comodi
• A brief Review on Wavelet Applications to Signal Analysis, in ``Report on the activities of the Research Group on the Wavelet Theory and Applications'', R.I.D.I.S. - 65 - 92, coauthors: G. Benelli and G. Naldi
• Wavelet Collocation Method, Pubbl. IAN n. 882, coauthor: G. Naldi.
• Wavelets on the Interval and Sobolev's Spaces, Pubbl. IAN n. 908 (1994).
• An Adaptive Wavelet Collocation Method, Pubbl I.A.N. n.932 (1994),coauthor: G. Naldi.
• Wavelet Collocation on the Triangle, Pubbl. I.A.N. n. 968 (1995).
• Adaptive wavelet collocation for elasticity: First results., coauthor L. Castro. Pubbl. I.A.N. n 1276 (2002)
• The Mortar Method in the adaptive case, coauthor: A.S. Piquemal, Pubbl. I.A.N. n. 1272 (2002)
• 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)

• S. Bertoluzza, S. Falletta, The mortar method with approximate constraint: a flexible tool for coupling hetherogeneous discretizations, collana "La matematica e le sue applicazioni", Politecnico di Torino, n.12 anno 2010

 

---

 

Strangely enough, it all turns out well

How? I don't know, it's a mistery

[Tom Stoppard]

 

Updated: January 2015