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Pavarino, Luca Franco

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Author ID: pavarino.luca-franco Recent zbMATH articles by "Pavarino, Luca Franco"
Published as: Pavarino, Luca F.; Pavarino, L. F.; Pavarino, L.; Pavarino, Luca Franco; Pavarino, Luca
Documents Indexed: 103 Publications since 1990, including 1 Book
3 Contributions as Editor
Reviewing Activity: 14 Reviews
Co-Authors: 42 Co-Authors with 92 Joint Publications
1,208 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 1,034 times in 499 Documents Cited by Year
Mathematical cardiac electrophysiology. Zbl 1318.92002
Colli Franzone, Piero; Pavarino, Luca F.; Scacchi, Simone
61
2014
A parallel solver for reaction-diffusion systems in computational electrocardiology. Zbl 1068.92024
Colli Franzone, Piero; Pavarino, Luca F.
52
2004
Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models. Zbl 1074.92004
Colli Franzone, P.; Pavarino, L. F.; Taccardi, B.
48
2005
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
46
2014
Overlapping Schwarz methods for isogeometric analysis. Zbl 1250.65149
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
46
2012
BDDC preconditioners for isogeometric analysis. Zbl 1280.65138
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
44
2013
Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025
Pavarino, Luca F.; Widlund, Olof B.
42
2002
Adaptivity in space and time for reaction-diffusion systems in electrocardiology. Zbl 1114.65110
Franzone, Piero Colli; Deuflhard, Peter; Erdmann, Bodo; Lang, Jens; Pavarino, Luca F.
38
2006
Multilevel additive Schwarz preconditioners for the bidomain reaction-diffusion system. Zbl 1185.65179
Pavarino, Luca F.; Scacchi, Simone
35
2008
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007
Pavarino, Luca F.; Widlund, Olof B.
34
1996
Additive Schwarz methods for the \(p\)-version finite element method. Zbl 0791.65083
Pavarino, Luca F.
33
1994
Overlapping Schwarz methods for mixed linear elasticity and Stokes problems. Zbl 0948.74077
Klawonn, Axel; Pavarino, Luca F.
31
1998
Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
30
2017
Isogeometric Schwarz preconditioners for linear elasticity systems. Zbl 1297.74113
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
26
2013
Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Zbl 1169.65346
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
25
2003
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems. Zbl 0982.65036
Klawonn, Axel; Pavarino, Luca F.
22
2000
A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements. Zbl 0961.76063
Warburton, T.; Pavarino, L. F.; Hesthaven, J. S.
21
2000
BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058
Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano
21
2010
Computational electrocardiology: mathematical and numerical modeling. Zbl 1387.92056
Franzone, P. Colli; Pavarino, L. F.; Savaré, G.
20
2006
An explicit second order spectral element method for acoustic waves. Zbl 1118.65106
Zampieri, Elena; Pavarino, Luca F.
17
2006
A scalable Newton-Krylov-Schwarz method for the bidomain reaction-diffusion system. Zbl 1205.65261
Munteanu, M.; Pavarino, L. F.; Scacchi, S.
16
2009
Approximation of acoustic waves by explicit Newmark’s schemes and spectral element methods. Zbl 1079.65093
Zampieri, Elena; Pavarino, Luca F.
16
2006
BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/\(hp\) elements with variable local polynomial degree. Zbl 1297.65150
Canuto, Claudio; Pavarino, Luca F.; Pieri, Alexandre B.
14
2014
Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains. Zbl 1228.74084
Klawonn, Axel; Pavarino, Luca F.; Rheinbach, Oliver
14
2008
Iterative substructuring methods for spectral element discretizations of elliptic systems. II: Mixed methods for linear elasticity and Stokes flow. Zbl 0951.65123
Pavarino, Luca F.; Widlund, Olof B.
13
1999
Overlapping Schwarz methods for unstructured spectral elements. Zbl 0957.65104
Pavarino, Luca F.; Warburton, Timothy
12
2000
Parallel multilevel solvers for the cardiac electro-mechanical coupling. Zbl 1320.65138
Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.
11
2015
Decoupled Schwarz algorithms for implicit discretizations of nonlinear monodomain and bidomain systems. Zbl 1178.65116
Munteanu, Marilena; Pavarino, Luca F.
11
2009
BDDC and FETI-DP preconditioners for spectral element discretizations. Zbl 1173.65359
Pavarino, Luca F.
11
2007
Robust BDDC preconditioners for Reissner-Mindlin plate bending problems and MITC elements. Zbl 1252.74062
Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Pavarino, L. F.
11
2010
Bioelectrical effects of mechanical feedbacks in a strongly coupled cardiac electro-mechanical model. Zbl 1355.92021
Franzone, Piero Colli; Pavarino, Luca F.; Scacchi, Simone
10
2016
Indefinite overlapping Schwarz methods for time-dependent Stokes problems. Zbl 0959.76047
Pavarino, Luca F.
9
2000
Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature. Zbl 0871.41020
Pavarino, L. F.; Widlund, O. B.
9
1997
Neumann-Neumann algorithms for spectral elements in three dimensions. Zbl 0881.65121
Pavarino, Luca F.
9
1997
Schwarz methods with local refinement for the \(p\)-version finite element method. Zbl 0818.65111
Pavarino, Luca F.
8
1994
Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity. Zbl 1137.65342
Beirão da Veiga, L.; Lovadina, C.; Pavarino, L. F.
8
2006
Effects of transmural electrical heterogeneities and electrotonic interactions on the dispersion of cardiac repolarization and action potential duration: A simulation study. Zbl 1104.92013
Franzone, P. Colli; Pavarino, L. F.; Taccardi, B.
8
2006
Overlapping Schwarz methods for Fekete and Gauss-Lobatto spectral elements. Zbl 1141.65394
Pavarino, L. F.; Zampieri, E.; Pasquetti, R.; Rapetti, F.
8
2007
Parallel multilevel Schwarz and block preconditioners for the bidomain parabolic-parabolic and parabolic-elliptic formulations. Zbl 1233.65070
Pavarino, L. F.; Scacchi, S.
8
2011
Overlapping Schwarz preconditioners for isogeometric collocation methods. Zbl 1425.65194
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
8
2014
Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems. Zbl 1439.74460
Pavarino, L. F.; Scacchi, S.
7
2016
Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059
Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
7
2018
Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves. Zbl 1115.74027
Pavarino, Luca F.; Zampieri, Elena
6
2006
A comparison of coupled and uncoupled solvers for the cardiac bidomain model. Zbl 1402.92128
Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.
6
2013
Newton-Krylov-BDDC solvers for nonlinear cardiac mechanics. Zbl 1423.74913
Pavarino, L. F.; Scacchi, S.; Zampini, S.
6
2015
Overlapping Schwarz methods with a standard coarse space for almost incompressible linear elasticity. Zbl 1320.65189
Cai, Mingchao; Pavarino, Luca F.; Widlund, Olof B.
5
2015
Exploring anodal and cathodal make and break cardiac excitation mechanisms in a 3D anisotropic bidomain model. Zbl 1211.92008
Colli-Franzone, P.; Pavarino, L. F.; Scacchi, S.
5
2011
Dynamical effects of myocardial ischemia in anisotropic cardiac models in three dimensions. Zbl 1136.92020
Franzone, Piero Colli; Pavarino, Luca F.; Scacchi, Simone
5
2007
Implicit spectral element methods and Neumann-Neumann preconditioners for acoustic waves. Zbl 1122.76068
Zampieri, Elena; Pavarino, Luca F.
5
2006
Computing cardiac recovery maps from electrograms and monophasic action potentials under heterogeneous and ischemic conditions. Zbl 1194.92050
Scacchi, Simone; Franzone, Piero Colli; Pavarino, Luca F.; Taccardi, B.
5
2010
Explicit second order isogeometric discretizations for acoustic wave problems. Zbl 1440.74484
Zampieri, Elena; Pavarino, Luca F.
4
2019
Iterative substructuring methods for spectral element discretizations of elliptic systems. I: Compressible linear elasticity. Zbl 0947.65119
Pavarino, Luca F.; Widlund, Olof B.
4
1999
Tiling bricks with bricks. Zbl 0734.05034
Damiani, E.; D’Antona, O.; Naldi, G.; Pavarino, L.
4
1990
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. Zbl 07356040
Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F.
4
2021
A reliability analysis of cardiac repolarization time markers. Zbl 1168.92014
Scacchi, S.; Franzone, P. Colli; Pavarino, L. F.; Taccardi, B.
3
2009
Preconditioned conjugate residual methods for mixed spectral discretizations of elasticity and Stokes problems. Zbl 0894.73218
Pavarino, Luca F.
3
1997
Neumann-Neumann-Schur complement methods for Fekete spectral elements. Zbl 1110.65113
Pasquetti, Richard; Rapetti, Francesca; Pavarino, Luca; Zampieri, Elena
3
2006
Iterative substructuring methods for spectral elements in three dimensions. Zbl 0837.65124
Pavarino, Luca F.; Widlund, Olof B.
3
1994
Multilevel Schwarz and multigrid preconditioners for the bidomain system. Zbl 1139.65316
Scacchi, Simone; Pavarino, Luca F.
3
2008
Modeling ventricular repolarization: Effects of transmural and apex-to-base heterogeneities in action potential durations. Zbl 1146.92010
Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.; Taccardi, B.
3
2008
Hybrid and multiplicative overlapping Schwarz algorithms with standard coarse spaces for mixed linear elasticity and Stokes problems. Zbl 1373.74104
Cai, Mingchao; Pavarino, Luca F.
3
2016
BDDC deluxe for isogeometric analysis. Zbl 1339.65228
Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano
3
2016
Preconditioned mixed spectral element methods for elasticity and Stokes problems. Zbl 0918.73287
Pavarino, Luca F.
2
1998
Some Schwarz algorithms for the \(p\)-version finite element method. Zbl 0796.65130
Pavarino, Luca F.
2
1994
Preconditioners for spectral discretizations of Helmholtz’s equation with Sommerfeld boundary conditions. Zbl 0988.65109
Pavarino, Luca F.; Zampieri, Elena
2
2001
Recent developments in domain decomposition methods. Some papers of the workshop on domain decomposition, ETH Zürich, Switzerland, June 7–8. 2001. Zbl 0989.00043
2
2002
Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations. Zbl 1242.65231
Ghezzi, L.; Pavarino, L. F.; Zampieri, E.
2
2012
Role of infarct scar dimensions, border zone repolarization properties and anisotropy in the origin and maintenance of cardiac reentry. Zbl 1425.92048
Colli-Franzone, P.; Gionti, V.; Pavarino, L. F.; Scacchi, S.; Storti, C.
2
2019
Joint influence of transmural heterogeneities and wall deformation on cardiac bioelectrical activity: a simulation study. Zbl 1359.92026
Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.
2
2016
Scalable cardiac electro-mechanical solvers and reentry dynamics. Zbl 1442.65368
Franzone, P. Colli; Pavarino, L. F.; Scacchi, S.; Zampini, Stefano
1
2018
Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Zbl 1344.65005
1
2016
Numerical simulation of cardiac reaction-diffusion models: normal and reentry dynamics. Zbl 1203.35282
Colli Franzone, Piero; Pavarino, Luca F.
1
2005
A wire basket based method for spectral elements in three dimensions. Zbl 0829.65125
Pavarino, Luca F.
1
1994
Domain decomposition algorithms for saddle point problems. Zbl 0923.76107
Pavarino, Luca F.
1
1998
Implicit parallel solvers in computational electrocardiology. Zbl 1167.65427
Munteanu, Marilena; Pavarino, Luca Franco
1
2007
Parallel solution of cardiac reaction-diffusion models. Zbl 1059.92018
Pavarino, Luca F.; Colli Franzone, Piero
1
2005
Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media. Zbl 1190.65171
Ghezzi, L.; Pavarino, L. F.; Zampieri, E.
1
2010
Exact and inexact FETI-DP methods for spectral elements in two dimensions. Zbl 1139.65322
Klawonn, Axel; Rheinbach, Oliver; Pavarino, Luca F.
1
2008
Balancing Neumann-Neumann methods for mixed approximations of linear elasticity. Zbl 1187.74236
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
1
2002
Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. Zbl 1369.65158
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
1
2017
Scalable BDDC algorithms for cardiac electromechanical coupling. Zbl 1368.92005
Pavarino, L. F.; Scacchi, S.; Verdi, C.; Zampieri, E.; Zampini, S.
1
2017
Isogeometric Schwarz preconditioners for the biharmonic problem. Zbl 1448.65260
Cho, D.; Pavarino, L. F.; Scacchi, S.
1
2018
Cardiac excitation mechanisms, wavefront dynamics and strength-interval curves predicted by 3D orthotropic bidomain simulations. Zbl 1241.92037
Franzone, P. Colli; Pavarino, L. F.; Scacchi, S.
1
2012
Parallel coupled and uncoupled multilevel solvers for the bidomain model of electrocardiology. Zbl 1429.92004
Franzone, Piero Colli; Pavarino, Luca F.; Scacchi, Simone
1
2014
Robust isogeometric Schwarz preconditioners for composite elastic materials. Zbl 1443.74164
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
1
2014
Isogeometric collocation discretizations for acoustic wave problems. Zbl 07415691
Zampieri, Elena; Pavarino, Luca F.
1
2021
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. Zbl 07356040
Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F.
4
2021
Isogeometric collocation discretizations for acoustic wave problems. Zbl 07415691
Zampieri, Elena; Pavarino, Luca F.
1
2021
Explicit second order isogeometric discretizations for acoustic wave problems. Zbl 1440.74484
Zampieri, Elena; Pavarino, Luca F.
4
2019
Role of infarct scar dimensions, border zone repolarization properties and anisotropy in the origin and maintenance of cardiac reentry. Zbl 1425.92048
Colli-Franzone, P.; Gionti, V.; Pavarino, L. F.; Scacchi, S.; Storti, C.
2
2019
Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059
Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
7
2018
Scalable cardiac electro-mechanical solvers and reentry dynamics. Zbl 1442.65368
Franzone, P. Colli; Pavarino, L. F.; Scacchi, S.; Zampini, Stefano
1
2018
Isogeometric Schwarz preconditioners for the biharmonic problem. Zbl 1448.65260
Cho, D.; Pavarino, L. F.; Scacchi, S.
1
2018
Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
30
2017
Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. Zbl 1369.65158
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
1
2017
Scalable BDDC algorithms for cardiac electromechanical coupling. Zbl 1368.92005
Pavarino, L. F.; Scacchi, S.; Verdi, C.; Zampieri, E.; Zampini, S.
1
2017
Bioelectrical effects of mechanical feedbacks in a strongly coupled cardiac electro-mechanical model. Zbl 1355.92021
Franzone, Piero Colli; Pavarino, Luca F.; Scacchi, Simone
10
2016
Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems. Zbl 1439.74460
Pavarino, L. F.; Scacchi, S.
7
2016
Hybrid and multiplicative overlapping Schwarz algorithms with standard coarse spaces for mixed linear elasticity and Stokes problems. Zbl 1373.74104
Cai, Mingchao; Pavarino, Luca F.
3
2016
BDDC deluxe for isogeometric analysis. Zbl 1339.65228
Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano
3
2016
Joint influence of transmural heterogeneities and wall deformation on cardiac bioelectrical activity: a simulation study. Zbl 1359.92026
Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.
2
2016
Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Zbl 1344.65005
1
2016
Parallel multilevel solvers for the cardiac electro-mechanical coupling. Zbl 1320.65138
Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.
11
2015
Newton-Krylov-BDDC solvers for nonlinear cardiac mechanics. Zbl 1423.74913
Pavarino, L. F.; Scacchi, S.; Zampini, S.
6
2015
Overlapping Schwarz methods with a standard coarse space for almost incompressible linear elasticity. Zbl 1320.65189
Cai, Mingchao; Pavarino, Luca F.; Widlund, Olof B.
5
2015
Mathematical cardiac electrophysiology. Zbl 1318.92002
Colli Franzone, Piero; Pavarino, Luca F.; Scacchi, Simone
61
2014
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
46
2014
BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/\(hp\) elements with variable local polynomial degree. Zbl 1297.65150
Canuto, Claudio; Pavarino, Luca F.; Pieri, Alexandre B.
14
2014
Overlapping Schwarz preconditioners for isogeometric collocation methods. Zbl 1425.65194
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
8
2014
Parallel coupled and uncoupled multilevel solvers for the bidomain model of electrocardiology. Zbl 1429.92004
Franzone, Piero Colli; Pavarino, Luca F.; Scacchi, Simone
1
2014
Robust isogeometric Schwarz preconditioners for composite elastic materials. Zbl 1443.74164
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
1
2014
BDDC preconditioners for isogeometric analysis. Zbl 1280.65138
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
44
2013
Isogeometric Schwarz preconditioners for linear elasticity systems. Zbl 1297.74113
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
26
2013
A comparison of coupled and uncoupled solvers for the cardiac bidomain model. Zbl 1402.92128
Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.
6
2013
Overlapping Schwarz methods for isogeometric analysis. Zbl 1250.65149
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S.
46
2012
Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations. Zbl 1242.65231
Ghezzi, L.; Pavarino, L. F.; Zampieri, E.
2
2012
Cardiac excitation mechanisms, wavefront dynamics and strength-interval curves predicted by 3D orthotropic bidomain simulations. Zbl 1241.92037
Franzone, P. Colli; Pavarino, L. F.; Scacchi, S.
1
2012
Parallel multilevel Schwarz and block preconditioners for the bidomain parabolic-parabolic and parabolic-elliptic formulations. Zbl 1233.65070
Pavarino, L. F.; Scacchi, S.
8
2011
Exploring anodal and cathodal make and break cardiac excitation mechanisms in a 3D anisotropic bidomain model. Zbl 1211.92008
Colli-Franzone, P.; Pavarino, L. F.; Scacchi, S.
5
2011
BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058
Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano
21
2010
Robust BDDC preconditioners for Reissner-Mindlin plate bending problems and MITC elements. Zbl 1252.74062
Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Pavarino, L. F.
11
2010
Computing cardiac recovery maps from electrograms and monophasic action potentials under heterogeneous and ischemic conditions. Zbl 1194.92050
Scacchi, Simone; Franzone, Piero Colli; Pavarino, Luca F.; Taccardi, B.
5
2010
Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media. Zbl 1190.65171
Ghezzi, L.; Pavarino, L. F.; Zampieri, E.
1
2010
A scalable Newton-Krylov-Schwarz method for the bidomain reaction-diffusion system. Zbl 1205.65261
Munteanu, M.; Pavarino, L. F.; Scacchi, S.
16
2009
Decoupled Schwarz algorithms for implicit discretizations of nonlinear monodomain and bidomain systems. Zbl 1178.65116
Munteanu, Marilena; Pavarino, Luca F.
11
2009
A reliability analysis of cardiac repolarization time markers. Zbl 1168.92014
Scacchi, S.; Franzone, P. Colli; Pavarino, L. F.; Taccardi, B.
3
2009
Multilevel additive Schwarz preconditioners for the bidomain reaction-diffusion system. Zbl 1185.65179
Pavarino, Luca F.; Scacchi, Simone
35
2008
Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains. Zbl 1228.74084
Klawonn, Axel; Pavarino, Luca F.; Rheinbach, Oliver
14
2008
Multilevel Schwarz and multigrid preconditioners for the bidomain system. Zbl 1139.65316
Scacchi, Simone; Pavarino, Luca F.
3
2008
Modeling ventricular repolarization: Effects of transmural and apex-to-base heterogeneities in action potential durations. Zbl 1146.92010
Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.; Taccardi, B.
3
2008
Exact and inexact FETI-DP methods for spectral elements in two dimensions. Zbl 1139.65322
Klawonn, Axel; Rheinbach, Oliver; Pavarino, Luca F.
1
2008
BDDC and FETI-DP preconditioners for spectral element discretizations. Zbl 1173.65359
Pavarino, Luca F.
11
2007
Overlapping Schwarz methods for Fekete and Gauss-Lobatto spectral elements. Zbl 1141.65394
Pavarino, L. F.; Zampieri, E.; Pasquetti, R.; Rapetti, F.
8
2007
Dynamical effects of myocardial ischemia in anisotropic cardiac models in three dimensions. Zbl 1136.92020
Franzone, Piero Colli; Pavarino, Luca F.; Scacchi, Simone
5
2007
Implicit parallel solvers in computational electrocardiology. Zbl 1167.65427
Munteanu, Marilena; Pavarino, Luca Franco
1
2007
Adaptivity in space and time for reaction-diffusion systems in electrocardiology. Zbl 1114.65110
Franzone, Piero Colli; Deuflhard, Peter; Erdmann, Bodo; Lang, Jens; Pavarino, Luca F.
38
2006
Computational electrocardiology: mathematical and numerical modeling. Zbl 1387.92056
Franzone, P. Colli; Pavarino, L. F.; Savaré, G.
20
2006
An explicit second order spectral element method for acoustic waves. Zbl 1118.65106
Zampieri, Elena; Pavarino, Luca F.
17
2006
Approximation of acoustic waves by explicit Newmark’s schemes and spectral element methods. Zbl 1079.65093
Zampieri, Elena; Pavarino, Luca F.
16
2006
Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity. Zbl 1137.65342
Beirão da Veiga, L.; Lovadina, C.; Pavarino, L. F.
8
2006
Effects of transmural electrical heterogeneities and electrotonic interactions on the dispersion of cardiac repolarization and action potential duration: A simulation study. Zbl 1104.92013
Franzone, P. Colli; Pavarino, L. F.; Taccardi, B.
8
2006
Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves. Zbl 1115.74027
Pavarino, Luca F.; Zampieri, Elena
6
2006
Implicit spectral element methods and Neumann-Neumann preconditioners for acoustic waves. Zbl 1122.76068
Zampieri, Elena; Pavarino, Luca F.
5
2006
Neumann-Neumann-Schur complement methods for Fekete spectral elements. Zbl 1110.65113
Pasquetti, Richard; Rapetti, Francesca; Pavarino, Luca; Zampieri, Elena
3
2006
Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models. Zbl 1074.92004
Colli Franzone, P.; Pavarino, L. F.; Taccardi, B.
48
2005
Numerical simulation of cardiac reaction-diffusion models: normal and reentry dynamics. Zbl 1203.35282
Colli Franzone, Piero; Pavarino, Luca F.
1
2005
Parallel solution of cardiac reaction-diffusion models. Zbl 1059.92018
Pavarino, Luca F.; Colli Franzone, Piero
1
2005
A parallel solver for reaction-diffusion systems in computational electrocardiology. Zbl 1068.92024
Colli Franzone, Piero; Pavarino, Luca F.
52
2004
Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Zbl 1169.65346
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
25
2003
Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025
Pavarino, Luca F.; Widlund, Olof B.
42
2002
Recent developments in domain decomposition methods. Some papers of the workshop on domain decomposition, ETH Zürich, Switzerland, June 7–8. 2001. Zbl 0989.00043
2
2002
Balancing Neumann-Neumann methods for mixed approximations of linear elasticity. Zbl 1187.74236
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
1
2002
Preconditioners for spectral discretizations of Helmholtz’s equation with Sommerfeld boundary conditions. Zbl 0988.65109
Pavarino, Luca F.; Zampieri, Elena
2
2001
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems. Zbl 0982.65036
Klawonn, Axel; Pavarino, Luca F.
22
2000
A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements. Zbl 0961.76063
Warburton, T.; Pavarino, L. F.; Hesthaven, J. S.
21
2000
Overlapping Schwarz methods for unstructured spectral elements. Zbl 0957.65104
Pavarino, Luca F.; Warburton, Timothy
12
2000
Indefinite overlapping Schwarz methods for time-dependent Stokes problems. Zbl 0959.76047
Pavarino, Luca F.
9
2000
Iterative substructuring methods for spectral element discretizations of elliptic systems. II: Mixed methods for linear elasticity and Stokes flow. Zbl 0951.65123
Pavarino, Luca F.; Widlund, Olof B.
13
1999
Iterative substructuring methods for spectral element discretizations of elliptic systems. I: Compressible linear elasticity. Zbl 0947.65119
Pavarino, Luca F.; Widlund, Olof B.
4
1999
Overlapping Schwarz methods for mixed linear elasticity and Stokes problems. Zbl 0948.74077
Klawonn, Axel; Pavarino, Luca F.
31
1998
Preconditioned mixed spectral element methods for elasticity and Stokes problems. Zbl 0918.73287
Pavarino, Luca F.
2
1998
Domain decomposition algorithms for saddle point problems. Zbl 0923.76107
Pavarino, Luca F.
1
1998
Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature. Zbl 0871.41020
Pavarino, L. F.; Widlund, O. B.
9
1997
Neumann-Neumann algorithms for spectral elements in three dimensions. Zbl 0881.65121
Pavarino, Luca F.
9
1997
Preconditioned conjugate residual methods for mixed spectral discretizations of elasticity and Stokes problems. Zbl 0894.73218
Pavarino, Luca F.
3
1997
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007
Pavarino, Luca F.; Widlund, Olof B.
34
1996
Additive Schwarz methods for the \(p\)-version finite element method. Zbl 0791.65083
Pavarino, Luca F.
33
1994
Schwarz methods with local refinement for the \(p\)-version finite element method. Zbl 0818.65111
Pavarino, Luca F.
8
1994
Iterative substructuring methods for spectral elements in three dimensions. Zbl 0837.65124
Pavarino, Luca F.; Widlund, Olof B.
3
1994
Some Schwarz algorithms for the \(p\)-version finite element method. Zbl 0796.65130
Pavarino, Luca F.
2
1994
A wire basket based method for spectral elements in three dimensions. Zbl 0829.65125
Pavarino, Luca F.
1
1994
Tiling bricks with bricks. Zbl 0734.05034
Damiani, E.; D’Antona, O.; Naldi, G.; Pavarino, L.
4
1990
all top 5

Cited by 709 Authors

52 Pavarino, Luca Franco
33 Scacchi, Simone
26 Quarteroni, Alfio M.
16 Widlund, Olof B.
16 Zampini, Stefano
15 Colli Franzone, Piero
15 Dede’, Luca
14 Klawonn, Axel
11 Rheinbach, Oliver
10 Beirão da Veiga, Lourenço
9 Kunisch, Karl
9 Tu, Xuemin
9 Zampieri, Elena
8 Kim, Hyea Hyun
8 Ruiz-Baier, Ricardo
8 Takacs, Stefan
8 Veneziani, Alessandro
7 Antonietti, Paola Francesca
7 Cho, Durkbin
7 Dohrmann, Clark R.
7 Hofer, Christoph D.
7 Vergara, Christian
6 Cai, Xiao-Chuan
6 Chamakuri, Nagaiah
6 Langer, Ulrich
6 Manzoni, Andrea
6 Sangalli, Giancarlo
6 Tani, Mattia
5 Ainsworth, Mark
5 Bendahmane, Mostafa
5 Coudière, Yves
5 Dehghan Takht Fooladi, Mehdi
5 Fischer, Paul F.
5 Heinlein, Alexander
5 Li, Jing
5 Pasquetti, Richard
5 Pennacchio, Micol
5 Rapetti, Francesca
5 Sarkis, Marcus V.
5 Taccardi, Bruno
5 Verani, Marco
5 Wang, Junxian
5 Warburton, Timothy
4 Badia, Santiago
4 Bertoluzza, Silvia
4 Cao, Weiming
4 Chung, Tsz Shun Eric
4 Collin, Annabelle
4 D’Antona, Ottavio M.
4 Dryja, Maksymilian
4 Gaspar, Francisco José
4 Guo, Benqi
4 Heuer, Norbert
4 Hieber, Matthias
4 Kühn, Martin Joachim
4 Lanser, Martin
4 Nagaiah, Chamakuri
4 Nobile, Fabio
4 Pierre, Charles
4 Salvador, Matteo
4 Sarti, Marco
4 Tomar, Satyendra K.
4 Zemzemi, Nejib
3 Alipanah, Amjad
3 Auricchio, Ferdinando
3 Beretta, Elena
3 Bourgault, Yves
3 Bradji, Abdallah
3 Chapelle, Dominique
3 Damiani, Ernesto
3 Dassi, Franco
3 Dolean, Victorita
3 Fenton, Flavio H.
3 Filippi, Simonetta
3 Garoni, Carlo
3 Gerbeau, Jean-Frédéric
3 Gizzi, Alessio
3 Hesch, Christian
3 Hofreither, Clemens
3 Jiang, Shuai
3 Kajiwara, Naoto
3 Kaliske, Michael
3 Korneev, Vadim Glebovich
3 Kügler, Philipp
3 Lassila, Toni
3 Lee, Chang-Ock
3 Lotfi, Mahmoud
3 Lovadina, Carlo
3 Maday, Yvon
3 Mahjoub, Moncef
3 Manni, Carla
3 Melenk, Jens Markus
3 Mori, Yoichiro
3 Oliveira, Saulo Pomponet
3 Pagani, Stefano
3 Peng, Jie
3 Plank, Gernot
3 Prüß, Jan Wilhelm
3 Ratti, Luca
3 Sabouri, Mania
...and 609 more Authors
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Cited in 106 Serials

78 Computer Methods in Applied Mechanics and Engineering
38 Journal of Computational Physics
34 SIAM Journal on Scientific Computing
32 Computers & Mathematics with Applications
19 Journal of Computational and Applied Mathematics
17 Applied Numerical Mathematics
16 Mathematical Biosciences
16 Journal of Scientific Computing
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 SIAM Journal on Numerical Analysis
10 Mathematics of Computation
9 Numerische Mathematik
8 International Journal for Numerical Methods in Engineering
8 ETNA. Electronic Transactions on Numerical Analysis
7 Mathematics and Computers in Simulation
6 Calcolo
6 Numerical Methods for Partial Differential Equations
6 Numerical Algorithms
5 Computational Mechanics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Applied Mathematics and Computation
4 Applied Mathematical Modelling
3 Communications on Pure and Applied Mathematics
3 Inverse Problems
3 Journal of Engineering Mathematics
3 Journal of Mathematical Biology
3 Physica D
3 Engineering Analysis with Boundary Elements
3 Chaos
3 Nonlinear Analysis. Real World Applications
3 Archives of Computational Methods in Engineering
3 Communications in Computational Physics
2 Journal of Mathematical Analysis and Applications
2 Linear and Multilinear Algebra
2 Journal of Differential Equations
2 International Journal of Computer Mathematics
2 Communications in Numerical Methods in Engineering
2 Advances in Computational Mathematics
2 Computing and Visualization in Science
2 European Journal of Mechanics. A. Solids
2 Computational Methods in Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Acta Numerica
2 Computational & Mathematical Methods in Medicine
2 Journal of Theoretical Biology
1 Applicable Analysis
1 Computers and Fluids
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Wave Motion
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Computing
1 Journal of Combinatorial Theory. Series A
1 Mathematische Annalen
1 Numerical Functional Analysis and Optimization
1 Studies in Applied Mathematics
1 European Journal of Combinatorics
1 Acta Applicandae Mathematicae
1 Journal of Computational Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Journal of Integral Equations and Applications
1 European Journal of Applied Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Japan Journal of Industrial and Applied Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Continuum Mechanics and Thermodynamics
1 Computational Optimization and Applications
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Complexity
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 Optimization Methods & Software
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. B. Fluids
1 Communications in Nonlinear Science and Numerical Simulation
1 Engineering Computations
1 Journal of Dynamical and Control Systems
1 Journal of Applied Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Multiscale Modeling & Simulation
1 Advances in Difference Equations
1 Mathematical Biosciences and Engineering
1 Networks and Heterogeneous Media
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 International Journal for Numerical Methods in Biomedical Engineering
1 Communications in Applied and Industrial Mathematics
...and 6 more Serials

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