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2020 – today
- 2024
[j32]Elena Zampieri
, Luca F. Pavarino:
Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems. Adv. Comput. Math. 50(2): 16 (2024)- [j31]Sofia Botti, Chiara Bartolucci, Claudia Altomare, Michelangelo Paci, Lucio Barile, Rolf Krause, Luca Franco Pavarino, Stefano Severi:
A novel ionic model for matured and paced atrial-like human iPSC-CMs integrating IKur and IKCa currents. Comput. Biol. Medicine 180: 108899 (2024) - [j30]Nicolás Alejandro Barnafi, Ngoc Mai Monica Huynh, Luca F. Pavarino, Simone Scacchi:
Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations with staggered ionic models. Comput. Math. Appl. 167: 134-149 (2024) - [i9]Ngoc Mai Monica Huynh, Luca Franco Pavarino, Simone Scacchi:
GDSW preconditioners for composite Discontinuous Galerkin discretizations of multicompartment reaction-diffusion problems. CoRR abs/2405.17601 (2024) - [i8]Edoardo Centofanti, Massimiliano Ghiotto, Luca F. Pavarino:
Learning the Hodgkin-Huxley Model with Operator Learning Techniques. CoRR abs/2406.02173 (2024) - 2023
- [j29]Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi:
A comparative study of scalable multilevel preconditioners for cardiac mechanics. J. Comput. Phys. 492: 112421 (2023) - [j28]Ngoc Mai Monica Huynh, Fatemeh Chegini, Luca Franco Pavarino, Martin Weiser, Simone Scacchi:
Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model. SIAM J. Sci. Comput. 45(6): 2836-2857 (2023) - [c8]Sofia Botti, Chiara Bartolucci, Rolf Krause, Luca F. Pavarino, Stefano Severi:
An in silico Study of Cardiac hiPSC Electronic Maturation by Dynamic Clamp. FIMH 2023: 175-183 - 2022
- [j27]Ngoc Mai Monica Huynh, Luca F. Pavarino, Simone Scacchi:
Parallel Newton-Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations. SIAM J. Sci. Comput. 44(2): 224- (2022) - [j26]Olof B. Widlund, Simone Scacchi, Luca F. Pavarino:
BDDC Deluxe Algorithms for Two-Dimensional H($curl$) Isogeometric Analysis. SIAM J. Sci. Comput. 44(4): 2349- (2022) - [c7]Sofia Botti, Chiara Bartolucci, Claudia Altomare, Lucio Barile, Rolf Krause, Luca F. Pavarino, Stefano Severi:
Numerical Simulations Indicate IK1 Dynamic Clamp Can Unveil the Phenotype of Cardiomyocytes Derived from Induced Pluripotent Stem Cells. CinC 2022: 1-4 - [i7]Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi:
Parallel inexact Newton-Krylov and quasi-Newton solvers for nonlinear elasticity. CoRR abs/2203.05610 (2022) - [i6]Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi:
A comparative study of scalable multilevel preconditioners for cardiac mechanics. CoRR abs/2208.06191 (2022) - [i5]Nicolás A. Barnafi, Ngoc Mai Monica Huynh, Luca F. Pavarino, Simone Scacchi:
Analysis and numerical validation of robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations. CoRR abs/2209.05193 (2022) - [i4]Elena Zampieri, Luca Franco Pavarino:
A numerical study of the spectral properties of Isogeometric collocation matrices for acoustic wave problems. CoRR abs/2210.05289 (2022) - [i3]Ngoc Mai Monica Huynh, Fatemeh Chegini, Luca Franco Pavarino, Martin Weiser, Simone Scacchi:
Convergence analysis of BDDC preconditioners for hybrid DG discretizations of the cardiac cell-by-cell model. CoRR abs/2212.12295 (2022) - 2021
- [j25]Gabriele Dell'Era, Miriam Gravellone, Simone Scacchi, P. Colli Franzone, Luca F. Pavarino, Enrico Boggio, Eleonora Prenna, Federica De Vecchi, Eraldo Occhetta, Chiara Devecchi, Giuseppe Patti:
A clinical-in silico study on the effectiveness of multipoint bicathodic and cathodic-anodal pacing in cardiac resynchronization therapy. Comput. Biol. Medicine 136: 104661 (2021) - [j24]D. Cho, Luca F. Pavarino, Simone Scacchi:
Overlapping Additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity. Comput. Math. Appl. 93: 66-77 (2021) - [j23]Olof B. Widlund, Stefano Zampini, Simone Scacchi, Luca F. Pavarino:
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. Math. Comput. 90(330): 1773-1797 (2021) - [i2]Ngoc Mai Monica Huynh, Luca Franco Pavarino, Simone Scacchi:
Parallel Newton-Krylov-BDDC and FETI-DP deluxe solvers for implicit time discretizations of the cardiac Bidomain equations. CoRR abs/2101.02959 (2021) - [i1]B. V. Rathish Kumar, Meena Pargaei, Luca F. Pavarino, Simone Scacchi:
Myocardial ischemic effects on cardiac electro-mechanical activity. CoRR abs/2105.14703 (2021)
2010 – 2019
- 2017
- [j22]Lourenço Beirão da Veiga, Luca F. Pavarino, Simone Scacchi, Olof B. Widlund, Stefano Zampini:
Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners. SIAM J. Sci. Comput. 39(1) (2017) - 2015
- [j21]Mingchao Cai, Luca F. Pavarino, Olof B. Widlund:
Overlapping Schwarz Methods with a Standard Coarse Space for Almost Incompressible Linear Elasticity. SIAM J. Sci. Comput. 37(2) (2015) - [c6]Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi:
Relationship Between Cardiac Electrical and Mechanical Activation Markers by Coupling Bidomain and Deformation Models. FIMH 2015: 304-312 - 2014
- [j20]Lourenço Beirão da Veiga, Luca F. Pavarino, Simone Scacchi, Olof B. Widlund, Stefano Zampini:
Isogeometric BDDC Preconditioners with Deluxe Scaling. SIAM J. Sci. Comput. 36(3) (2014) - 2013
- [c5]Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi:
Effects of Anodal Cardiac Stimulation on V m and Distributions: A Bidomain Study. FIMH 2013: 114-122 - [p1]Lourenço Beirão da Veiga, C. Chinosi, Carlo Lovadina, Luca F. Pavarino, Joachim Schöberl:
Quasi-optimality of BDDC Methods for MITC Reissner-Mindlin Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 639-646 - 2012
- [j19]Luca Luigi Ghezzi, Luca F. Pavarino, Elena Zampieri:
Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations. Appl. Math. Comput. 218(15): 7700-7710 (2012) - [j18]Lourenço Beirão da Veiga, D. Cho, Luca F. Pavarino, Simone Scacchi:
Overlapping Schwarz Methods for Isogeometric Analysis. SIAM J. Numer. Anal. 50(3): 1394-1416 (2012) - 2011
- [j17]Luca F. Pavarino, Simone Scacchi:
Parallel Multilevel Schwarz and Block Preconditioners for the Bidomain Parabolic-Parabolic and Parabolic-Elliptic Formulations. SIAM J. Sci. Comput. 33(4): 1897-1919 (2011) - [c4]Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi:
Anode Make and Break Excitation Mechanisms and Strength-Interval Curves: Bidomain Simulations in 3D Rotational Anisotropy. FIMH 2011: 1-10 - 2010
- [j16]Luca Luigi Ghezzi, Luca F. Pavarino, Elena Zampieri:
Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media. J. Comput. Appl. Math. 234(5): 1492-1504 (2010) - [j15]Lourenço Beirão da Veiga, C. Chinosi, Carlo Lovadina, Luca F. Pavarino:
Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements. SIAM J. Numer. Anal. 47(6): 4214-4238 (2010) - [j14]Luca F. Pavarino, Olof B. Widlund, Stefano Zampini:
BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions. SIAM J. Sci. Comput. 32(6): 3604-3626 (2010)
2000 – 2009
- 2009
- [j13]M. Munteanu, Luca F. Pavarino, Simone Scacchi:
A Scalable Newton--Krylov--Schwarz Method for the Bidomain Reaction-Diffusion System. SIAM J. Sci. Comput. 31(5): 3861-3883 (2009) - [c3]Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, Bruno Taccardi:
Effects of Anisotropy and Transmural Heterogeneity on the T-Wave Polarity of Simulated Electrograms. FIMH 2009: 513-523 - 2008
- [j12]Luca F. Pavarino, Simone Scacchi:
Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System. SIAM J. Sci. Comput. 31(1): 420-443 (2008) - 2007
- [j11]Luca F. Pavarino, Elena Zampieri, Richard Pasquetti, Francesca Rapetti:
Overlapping Schwarz Methods for Fekete and Gauss-Lobatto Spectral Elements. SIAM J. Sci. Comput. 29(3): 1073-1092 (2007) - [c2]Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi, Bruno Taccardi:
Determining Recovery Times from Transmembrane Action Potentials and Unipolar Electrograms in Normal Heart Tissue. FIMH 2007: 139-149 - 2006
- [j10]Elena Zampieri, Luca F. Pavarino:
An explicit second order spectral element method for acoustic waves. Adv. Comput. Math. 25(4): 381-401 (2006) - [j9]Luca F. Pavarino, Elena Zampieri:
Overlapping Schwarz and Spectral Element Methods for Linear Elasticity and Elastic Waves. J. Sci. Comput. 27(1-3): 51-73 (2006) - [j8]Lourenço Beirão da Veiga, Carlo Lovadina, Luca F. Pavarino:
Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity. Numerische Mathematik 104(3): 271-296 (2006) - [j7]Piero Colli Franzone, Peter Deuflhard, Bodo Erdmann, Jens Lang, Luca F. Pavarino:
Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology. SIAM J. Sci. Comput. 28(3): 942-962 (2006) - 2005
- [c1]Piero Colli Franzone, Luca F. Pavarino, Bruno Taccardi:
Monodomain Simulations of Excitation and Recovery in Cardiac Blocks with Intramural Heterogeneity. FIMH 2005: 267-277 - 2003
- [j6]Paulo Goldfeld, Luca F. Pavarino, Olof B. Widlund:
Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Numerische Mathematik 95(2): 283-324 (2003) - 2000
- [j5]Axel Klawonn, Luca F. Pavarino:
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems. Numer. Linear Algebra Appl. 7(1): 1-25 (2000)
1990 – 1999
- 1999
- [j4]Luca F. Pavarino, Olof B. Widlund:
Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems I: Compressible Linear Elasticity. SIAM J. Numer. Anal. 37(2): 353-374 (1999) - [j3]Luca F. Pavarino, Olof B. Widlund:
Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow. SIAM J. Numer. Anal. 37(2): 375-402 (1999) - 1998
- [j2]Luca F. Pavarino:
Preconditioned Mixed Spectral Element Methods for Elasticity and Stokes Problems. SIAM J. Sci. Comput. 19(6): 1941-1957 (1998) - 1995
- [j1]Luca F. Pavarino, Marcelo Rame:
Numerical Experiments With an Overlapping Additive Schwarz Solver for 3-d pArallel Reservoir Simulation. Int. J. High Perform. Comput. Appl. 9(1): 3-17 (1995)
Coauthor Index
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