Silvia Bertoluzza

2023, Journal article
A HDG method for elliptic problems with integral boundary condition: theory and applications
S. Bertoluzza, G. Guidoboni, R. Hild, D. Prada, C. Prud'homme, R. Sacco, L. Sala, and M. Szopos
Journal of scientific computing 95(1) pp.tot 33
CNR@IRIS | DOI: 10.1007/s10915-023-02109-5

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2022, Journal article
A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media
A. Viguerie, S. Bertoluzza, A. Veneziani, and F. Auricchio
Applied numerical mathematics 173 pp. 94-111
CNR@IRIS | DOI: 10.1016/j.apnum.2021.11.012

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2022, Journal article
An a posteriori error estimate of the outer normal derivative using dual weights
S. Bertoluzza, E. Burman, and C. He
SIAM journal on numerical analysis 60(1) pp. 475-501
CNR@IRIS | DOI: 10.1137/20M1358219

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2022, Journal article
Stabilization of the nonconforming virtual element method
S. Bertoluzza, G. Manzini, M. Pennacchio, and D. Prada
Computers & mathematics with applications (1987) 16 pp. 25-47
CNR@IRIS | DOI: 10.1016/j.camwa.2021.10.009

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2022, Journal article
Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements
S. Bertoluzza, M. Pennacchio, and D. Prada
Computer methods in applied mechanics and engineering 400 pp.tot 27
CNR@IRIS | DOI: 10.1016/j.cma.2022.115454

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2021, Journal article
A p-robust polygonal discontinuous Galerkin method with minus one stabilization
S. Bertoluzza, I. Perugia, and D. Prada
Mathematical models and methods in applied sciences 31(13) pp. 2695-2731
CNR@IRIS | DOI: 10.1142/S0218202521500597

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2021, Journal article
A polygonal discontinuous Galerkin method with minus one stabilisation
S. Bertoluzza and D. Prada
Modélisation mathématique et analyse numérique (Impr.) 55 pp. S785-S810
CNR@IRIS | DOI: 10.1051/m2an/2020059

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2021, Journal article
Algebraic representation of dual scalar products and stabilization of saddle point problems
S. Bertoluzza
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni (Testo stamp.) 32(4) pp. 649-668
CNR@IRIS | DOI: 10.4171/RLM/952

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2021, Journal article
Benchmarking the geometrical robustness of a Virtual Element Poisson solver
M.Attene,S. Biasotti, S. Bertoluzza, D. Cabiddu, M. Livesu, G. Patanè, M. Pennacchio, D. Prada, and M. Spagnuolo
Mathematics and computers in simulation 190 pp. 1392-1414
CNR@IRIS | DOI: 10.1016/j.matcom.2021.07.018

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2020, Journal article
A Fat boundary-type method for localized nonhomogeneous material problems
A. Viguerie, S. Bertoluzza, and F. Auricchio
Computer methods in applied mechanics and engineering 364 pp.tot 25
CNR@IRIS | DOI: 10.1016/j.cma.2020.112983

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2020, Journal article
FETI-DP for the Three Dimensional Virtual Element Method
S. Bertoluzza, M. Pennacchio, and D. Prada
SIAM journal on numerical analysis 58(3) pp. 1556-1591
CNR@IRIS | DOI: 10.1137/18M1233303

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2020, Journal article
The virtual element method for a minimal surface problem
P.F. Antonietti, S. Bertoluzza, D. Prada, and M. Verani
Calcolo 57(4)
CNR@IRIS | DOI: 10.1007/s10092-020-00388-0

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2020, Journal article
Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation
S. Bertoluzza, S. Falletta, and L. Scuderi
Applied mathematics and computation 366 pp.tot 21
CNR@IRIS | DOI: 10.1016/j.amc.2019.124726

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2019, Journal article
FEM Solution of exterior elliptic problems with weakly enforced integral non reflecting boundary conditions
S. Bertoluzza and S. Falletta
Journal of scientific computing (Dordr., Online) 81 pp. 1019-1049
CNR@IRIS | DOI: 10.1007/s10915-019-01048-4

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2019, Journal article
High order VEM on curved domains
S. Bertoluzza, M. Pennacchio, and D. Prada
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni 30(2) pp. 391-412
CNR@IRIS | DOI: 10.4171/RLM/853

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2018, Journal article
A new class of wavelet-based metrics for image similarity assessment
M.G. Albanesi, R. Amadeo, S. Bertoluzza, and G. Maggi
Journal of mathematical imaging and vision (Dordr., Online) 60(1) pp. 109-127
CNR@IRIS | DOI: 10.1007/s10851-017-0745-1

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2018, Journal article
Local error analysis for the Stokes equations with a punctual source term
S. Bertoluzza, A. Decoene, L. Lacouture, and S. Martin
Numerische Mathematik 140(3) pp. 677-701
CNR@IRIS | DOI: 10.1007/s00211-018-0976-0

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2018, Journal article
Local error estimates of the finite element method for an elliptic problem with a Dirac source term
S. Bertoluzza, A. Decoene, L. Lacouture, and S. Martin
Numerical methods for partial differential equations 34(1) pp. 97-120
CNR@IRIS | DOI: 10.1002/num.22186

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2017, Journal article
A new construction of boundary interpolating wavelets for fourth order problems
S. Bertoluzza and V. Perrier
Acta applicandae mathematicae (Dordr., Online) 152(1) pp. 33-56
CNR@IRIS | DOI: 10.1007/s10440-017-0110-9

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2017, Journal article
BDDC and FETI-DP for the virtual element method
S. Bertoluzza, M. Pennacchio, and D. Prada
Calcolo 54(4) pp. 1565-1593
CNR@IRIS | DOI: 10.1007/s10092-017-0242-3

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2017, Journal article
Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics
S. Bertoluzza, V. Chabannes, C. Prud'homme, and M. Szopos
Computer methods in applied mechanics and engineering 322 pp. 58-80
CNR@IRIS | DOI: 10.1016/j.cma.2017.04.024

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2016, Journal article
A conservative slide line method for cell-centered semi-lagrangian and ALE schemes in 2D
S. Bertoluzza, S. Del Pino, and E. Labourasse
Modélisation mathématique et analyse numérique (Impr.) 50(1) pp. 187-214
CNR@IRIS | DOI: 10.1051/m2an/2015037

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2016, Journal article
Analysis of a mesh dependent stabilization for the three fields domain decomposition method
S. Bertoluzza
Numerische Mathematik 133(1) pp. 1-36
CNR@IRIS | DOI: 10.1007/s00211-015-0742-5

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2016, Journal article
Substructuring preconditioners for h-p Mortar FEM
S. Bertoluzza, M. Pennacchio, C. Prud'homme, and A. Samake
Modélisation mathématique et analyse numérique (Impr.) 50(4) pp. 1057-1082
CNR@IRIS | DOI: 10.1051/m2an/2015065

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2015, Journal article
Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring
P. F. Antonietti, B. Ayuso de Dios, S. Bertoluzza, and M. Pennacchio
Calcolo 52(3) pp. 289-316
CNR@IRIS | DOI: 10.1007/s10092-014-0117-9

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2011, Journal article
A wavelet collocation approach for the analysis of laminated shells
A.J.M. Ferreira, L.M. Castro, and S. Bertoluzza
Composites. Part B, Engineering 42(1) pp. 99-104
CNR@IRIS | DOI: 10.1016/j.compositesb.2010.06.003

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2011, Journal article
Analysis of plates on Winkler foundation by wavelet collocation
A.J.M. Ferreira, L.M. Castro, and S. Bertoluzza
Meccanica 46 pp. 865-873
CNR@IRIS | DOI: 10.1007/s11012-010-9341-9

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2011, Journal article
Analysis of some injection bounds for Sobolev spaces by wavelet decomposition
S. Bertoluzza and S. Falletta
Comptes rendus. Mathématique 349 pp. 421-423
CNR@IRIS | DOI: 10.1016/j.crma.2011.02.015

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2011, Journal article
Analysis of the fully discrete fat boundary method
S. Bertoluzza, M. Ismail, and B. Maury
Numerische Mathematik 118(1) pp. 49-77
CNR@IRIS | DOI: 10.1007/s00211-010-0317-4

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2011, Journal article
Buckling analysis of laminated plates by wavelets
A.J.M. Ferreira, L.M. Castro, C.M. Roque, J.N. Reddy, and S. Bertoluzza
Computers & structures 89(7-8) pp. 626-630
CNR@IRIS | DOI: 10.1016/j.compstruc.2011.01.007

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2010, Journal article
A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory
L.M.S. Castro, A.J.M. Ferreira, S. Bertoluzza, R.C. Batra, and J.N. Reddy
Composite structures 92 pp. 1786-1792
CNR@IRIS | DOI: 10.1016/j.compstruct.2010.01.021

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2009, Journal article
A high order collocation method for the static and vibration analysis of composite plates using a first-order theory
Ferreira A.J.M., Castro L.M.S., Bertoluzza S.
Composite structures 89 pp. 424-432
CNR@IRIS | DOI: 10.1016/j.compstruct.2008.09.006

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2008, Journal article
Efficient design of residual-based stabilization techniques for three fields domain decomposition method
S. Bertoluzza, S. Falletta, and G. Manzini
Mathematical models and methods in applied sciences 18 pp. 973-999
CNR@IRIS

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2007, Journal article
Analysis of substructuring preconditioners for mortar methods in an abstract framework
S. Bertoluzza and M. Pennacchio
Applied mathematics letters 20 pp. 131-137
CNR@IRIS | DOI: 10.1016/j.aml.2006.02.029

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2007, Journal article
The method of mothers for non-overlapping non-matching DDM
Bertoluzza S., Brezzi F., Sangalli G.
Numerische Mathematik 107 pp. 397-431
CNR@IRIS | DOI: 10.1007/s00211-007-0090-1

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2006, Journal article
Local boundary estimates for the Lagrange multiplier discretization of a Dirichlet boundary value problem with application to domain decomposition
Bertoluzza S.
Calcolo (Testo stamp.) 43 pp. 121-149
CNR@IRIS | DOI: 10.1007/s10092-006-0115-7

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2005, Journal article
Recent developments in wavelet methods for the solution of PDE's
Bertoluzza S.
Bollettino della Unione matematica italiana (1922) 8B pp. 569-590
CNR@IRIS

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2005, Journal article
Subgrid modeling for convection-diffusion-reaction in one space dimension using a Haar multiresolution analysis
Hoffman J., Johnson C., Bertoluzza S.
Computer methods in applied mechanics and engineering 194 pp. 19-44
CNR@IRIS | DOI: 10.1016/j.cma.2003.08.016

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2004, Journal article
Preconditioning the mortar method by substructuring: the high order case
S. Bertoluzza and M. Pennacchio
Applied numerical analysis and computational mathematics 1(2) pp. 434-454
CNR@IRIS | DOI: 10.1002/anac.200410008

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2004, Journal article
Substructuring preconditioners for the three fields domain decomposition methods
Bertoluzza S.
Mathematics of computation 73 pp. 659-689
CNR@IRIS

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2004, Journal article
The wavelet mortar method in the adaptive framework
Bertoluzza S., Piquemal A.S.
338 pp. 653-656
CNR@IRIS

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2003, Journal article
A non-linear Richardson algorithm for the solution of elliptic PDE's
Bertoluzza S.(1), Mazet S.(2), Verani M.(3)
Mathematical models and methods in applied sciences 13 pp. 143-158
CNR@IRIS

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2003, Journal article
Analysis of a stabilized three-fields domain decomposition method
Bertoluzza, S.(1)
Numerische Mathematik 93 pp. 611-634
CNR@IRIS

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2003, Journal article
Building wavelets on ] 0,1 [ at large scales
Bertoluzza S.(1), Falletta S.(2)
9 pp. 261-288
CNR@IRIS

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2003, Journal article
Convergence of a non-linear wavelet algorithm for the solution of PDE's.
Bertoluzza S., Verani M.
Applied mathematics letters 16 pp. 113-118
CNR@IRIS

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2022, Essay or book chapter
VEM and the Mesh
Tommaso Sorgente, Daniele Prada, Daniela Cabiddu, Silvia Biasotti, Giuseppe Patanè, Micol Pennacchio, Silvia Bertoluzza, Gianmarco Manzini and Michela Spagnuolo
The Virtual Element Method and its Applications pp. 1-57 (SEMA SIMAI Springer Series), edited by Paola F. Antonietti, Lourenço Beirão da Veiga, Gianmarco Manzini. Springer Nature Switzerland, 978-3-030-95318-8
CNR@IRIS | DOI: 10.1007/978-3-030-95319-5

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2012, Essay or book chapter
Adaptive wavelet methods
S. Bertoluzza
Multiscale and Adaptivity: Modeling, NUmerics and Applications. pp. 1-56 (Lecture notes in mathematics), edited by Giovanni Naldi, Giovanni Russo. Springer-Verlag
CNR@IRIS | DOI: 10.1007/978-3-642-24079-9_1

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2009, Essay or book chapter
Wavelets and partial differential equations
Bertoluzza S., Falletta S.
Birkhäuser
CNR@IRIS

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2009, Book
Numerical solutions of partial differential equations
Bertoluzza S., Falletta S., Russo G., Shu C.-W.

CNR@IRIS

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2020, Conference proceedings
Geometry description and mesh construction from medical imaging
M. G. Carlino, P. Ricka, M. Phan, S. Bertoluzza, M. Pennacchio, G. Patane' and M. Spagnuolo
CEMRACS 2018 - Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions pp. 161-177 (67), edited by Vincent Calvez, Céline Grandmont, Eva Lochërbach, Clair Poignard, Magali Ribot and Nicolas Vauchelet., EDP Sciences (CEMRACS 2018: Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions, Marseille Luminy, 16 July - 24 August 2018)
CNR@IRIS | DOI: 10.1051/proc/202067010

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2019, Conference proceedings
FETI-DP preconditioners for the virtual element method on general 2D meshes
D. Prada, S. Bertoluzza, M. Pennacchio, and M. Livesu
Numerical Mathematics and Advanced Applications ENUMATH 2017 pp. 157-164 (Lecture notes in computational science and engineering), edited by Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop., Springer (ENUMATH 2017, Voss, Norway, 25-29 September 2017), 978-3-319-96414-0
CNR@IRIS | DOI: 10.1007/978-3-319-96415-7_12

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2017, Meeting abstracts
Patient-specific virtual simulator of tissue perfusion in the lamina cribrosa
L. Sala, C. Prud'homme, D. Prada, F. Salerni, C. Trophime, V. Chabannes, M. Szopos, R. Repetto, S. Bertoluzza, R. Sacco, A. Harris, and G. Guidoboni
2017 ARVO Annual Meeting (58) (Annual Meeting of the Association-for-Research-in-Vision-and-Ophthalmology (ARVO), Baltimore, 7-11/05/2017)
CNR@IRIS | Link

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2013, Conference proceedings
A Modular Registration Algorithm for Medical Images
S. Bertoluzza, S. Maggi, and S. Tomatis
Image analysis and recognition pp. 467-474 (Lecture notes in computer science), edited by Mohamed Kamel, Aurélio Campilho., Springer (10th International Conference, ICIAR 2013, Póvoa do Varzim, Portugal, 26-28 June, 2013), 978-3-642-39093-7
CNR@IRIS | DOI: 10.1007/978-3-642-39094-4_53

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2013, Conference proceedings
A parallel implementation of the Mortar Method in 2D and 3D
A. Samake, S. Bertoluzza, M. Pennacchio, C. Prud'homme, and C. Zaza
ESAIM: PROCEEDINGS pp. 213-224 (43), EDP Sciences (CEMRACS 2012, Marseille, July 2012)
CNR@IRIS | DOI: 10.1051/proc/201343014

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2011, Conference proceedings
Domain decomposition strategies with black box subdomain solvers
S. Bertoluzza
Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology, and Society pp. 279-282 (1368), edited by Ilias Kotsireas, Roderick Melnik, Brian West., American Institute Of Physics (AIP) (Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology, and Society, Waterloo, Ontario, Canada, 25/29 luglio 2011), 9780735409286
CNR@IRIS | DOI: 10.1063/1.3663513

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2010, Meeting abstracts
Fictitious domain and high order discretizations: Optimality of the fat boundary method
Bertoluzza S.
(Méthodes de domaine fictif pour des conditions aux limites immergées, Marseille)
CNR@IRIS

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2010, Meeting abstracts
Multigrid preconditioners for adaptive wavelet collocation
Bertoluzza S.
(European Multigrid Conference EMG 2010, Ischia)
CNR@IRIS

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2007, Conference proceedings
Preconditioners for high order mortar methods based on substructuring
S. Bertoluzza and M. Pennacchio
Domain Decomposition Methods in Science and Engineering XVI pp. 497-504 (Lecture notes in computational science and engineering), edited by Olof B. Widlund, David E. Keyes., Springer (Domain decomposition methods in science and engineering XVI, New York, January 12-16, 2005), 978-3-540-34468-1
CNR@IRIS | DOI: 10.1007/978-3-540-34469-8_62

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2005, Conference proceedings
Non-matching grids and Lagrange multipliers
S. Bertoluzza, F. Brezzi, L.D. Marini, and G. Sangalli
Domain Decomposition Methods in Science and Engineering pp. 3-18 (Lecture notes in computational science and engineering), edited by Timothy J. Barth, Michael Griebel, David E. Keyes, Risto M. Nieminen, Dirk Roose,Tamar Schlick, Ralf Kornhuber, Ronald Hoppe, Jacques Périaux, Olivier Pironneau, Olof Widlund, Jinchao Xu., Springer (15th International Conference on Domain Decomposition, Berlino, 25-28/07/2003), 978-3-540-22523-2
CNR@IRIS | DOI: 10.1007/3-540-26825-1_1

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2005, Conference proceedings
The Fat Boundary Method: semidiscrete scheme and some numerical experiments
Bertoluzza S., Ismail M., Maury B.
Domain Decomposition Methods in Science and Engineering pp. 513-520 (Lecture notes in computational science and engineering), edited by Ralf Kornhuber; Ronald Hoppe; Jacques Periaux; Olivier Pironneau; Olof Widlund; Jinchao Xu;., Springer Berlin / Heildelberg (15th International Conference on Domain Decomposition Methods in Science and Engineering, Freie Univ, Berlin, GERMANY, JUL 21-25, 2003)
CNR@IRIS

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2003, Conference proceedings
Non conforming domain decomposition: the Steklov-Poincaré operator point of view
Bertoluzza S.
(14th International Conference on Domain Decomposition Methods, Cocoyoc, Mexico)
CNR@IRIS

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2010, Technical report
The mortar method with approximate constraint: a flexible tool for coupling hetherogeneous discretizations
S. Bertoluzza, S. Falletta
pp.tot 21
CNR@IRIS

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2008, Technical report
Adaptive wavelet collocation for plane elasticity problem
S. Bertoluzza and L. Castro
pp.tot 32
CNR@IRIS

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2008, Technical report
Approximation and super-approximation properties of weakly local spaces
S. Bertoluzza and G. Iovane
25PV08/22/0 pp.tot 22
CNR@IRIS

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2006, Technical report
Residual based stabilization of the three fields domain decomposition method: implementation and numerical tests
S. Bertoluzza, S. Falletta, and G. Manzini
12-PV pp.tot 28
CNR@IRIS

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2004, Technical report
An object-oriented implementation of the mortar method with approximate constraint
S. Bertoluzza and S. Falletta
10-PV pp.tot 28
CNR@IRIS

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2004, Technical report
Comparing PCG with BiCG and BiCGStab for the linear system arising in the three fields domain decomposition methods
S. Bertoluzza, M.R. Mokhtarzadeh, R. Mokhtari, and N.G. Chegini
31-PV pp.tot 16
CNR@IRIS

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2002, Technical report
Adaptive wavelet collocation for elasticity: first results.
S. Bertoluzza and L. Castro
1276 pp.tot 34
CNR@IRIS

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2002, Technical report
The mortar wavelet method: implementation and numerical tests.
S. Bertoluzza, S. Falletta, and V. Perrier
pp.tot 34
CNR@IRIS

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