Selected paper by Micol Pennacchio

S. Bertoluzza, M. Montardini, M. Pennacchio, D. Prada
The virtual element method on polygonal pixel–based tessellations. Journal of Computational Physics 18, 113334 (2024) 

S. Bertoluzza, M. Pennacchio, D. Prada
Interior estimates for the Virtual Element Method, Numer. Math. 156, 1163–1196 (2024) arXiv:2204.09955

B. Crippa, S. Imperatore, S. Bertoluzza, M. Pennacchio
Artificial neural network evaluation of geometric constants for polygonal domains (nov. 2025) arXiv:2206.10292

S. Bertoluzza, M. Pennacchio, D. Prada
Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements.
Computer Methods in Applied Mechanics and Engineering, vol. 400, pag. 115454 (2022) DOI

S. Bertoluzza, G. Manzini, M. Pennacchio, D. Prada
Stabilization of the Nonconforming Virtual Element Method. (2021)
Computers & Mathematics with Applications, 116, 25-47, 2022 arXiv:2103.03742

M. Attene, S. Biasotti, S. Bertoluzza, D. Cabiddu, M. Livesu, G. Patanè, M. Pennacchio, D. Prada, M. Spagnuolo
Benchmarking the geometrical robustness of a Virtual Element Poisson solver.
Mathematics and Computers in Simulation, 190, 1392-1414 (2021)

T. Sorgente, D. Prada, D. Cabiddu, Silvia Biasotti, G. Patane, M. Pennacchio, S. Bertoluzza, G. Manzini, M. Spagnuolo
VEM and the Mesh
In: Antonietti, P.F., Beirão da Veiga, L., Manzini, G. (eds) The Virtual Element Method and its Applications.
SEMA SIMAI Springer Series, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-030-95319-5_1
arXiv:2103.01614

S. Bertoluzza, M. Pennacchio, D. Prada
FETI-DP for the three-dimensional Virtual Element Method.
SIAM J. Numer. Anal., 58(3), 1556–1591 (2020) DOI, arXiv:1812.00635

S. Bertoluzza, M. Pennacchio, D. Prada
High order VEM on curved domains.
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 30(2), 391-412, (2019) arXiv:1811.04755

Michele Carlino, Philippe Ricka, Minh Phan, Silvia Bertoluzza, Micol Pennacchio, Giuseppe Patanè, Michela Spagnuolo
Geometry description and mesh construction from medical imaging
ESAIM: Proceedings and Surveys, 2020, Vol. 67, p. 161-177, DOI, hal.inria

D. Prada, S. Bertoluzza, M. Pennacchio, M. Livesu
FETI-DP preconditioners for the Virtual Element Method on general 2D meshes
Numerical Mathematics and Advanced Applications - Enumath 2017,
pag. 157-164, Springer (2019)

D. Prada, M. Pennacchio
Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study. (2018) arXiv:1812.02161

S. Bertoluzza, M. Pennacchio, D. Prada
BDDC and FETI-DP for the Virtual Element Method
Calcolo, 54(4), 1565-1593, (2017), DOI, arXiv:1708.03599

S. Bertoluzza, M. Pennacchio, C. Prud'homme, A. Samake
Substructuring preconditioners for h-p Mortar FEM
ESAIM: M2AN, vol. 50, 1057-1082 (2016) DOI

P. Antonietti, B. Ayuso de Dios, S. Bertoluzza and M. Pennacchio
Substructuring preconditioners for an h-p domain decomposition method with Interior Penalty mortaring
Calcolo, vol. 52(3), pag. 289-316 (2015) DOI

A. Samake, S. Bertoluzza, M. Pennacchio, C. Prud'homme and C. Zaza
A parallel implementation of the Mortar Method in 2D and 3D
ESAIM: Proceedings 43, 213-224 (2013) DOI

M. Pennacchio and V. Simoncini
Fast structured AMG preconditioning for the bidomain model in electrocardiology
SIAM J. Sci. Comput. vol. 33, n. 2, 721-745 (2011)

M. Pennacchio and V. Simoncini
Non-symmetric Algebraic Multigrid Preconditioners for the Bidomain Reaction-Diffusion System.
Numerical Mathematics and Advanced Applications - Enumath 2009, 729-736, Springer (2010)

M. Benzi, L. Ferragut, M. Pennacchio and V. Simoncini
Solution of Linear Systems from an Optimal Control Problem Arising in Wind Simulation.
Numer. Lin. Alg. Appl. vol. 17, n. 6, 895-915 (2010)

M. Pennacchio and V. Simoncini
Algebraic Multigrid Preconditioners for the Bidomain Reaction-Diffusion System.
Appl. Numer. Math. vol. 59, n. 12, 3033-3050 (2009)

M. Pennacchio and V. Simoncini
Substructuring Preconditioners for Mortar Discretization of a Degenerate Evolution Problem
J. Sci. Comput. vol. 36, n. 3, 391-419 (2008)

M. Pennacchio
Substructuring Preconditioners for Parabolic Problems by the Mortar Method
Int. J. Numer. Anal. Model. vol. 5, n. 4, 527-542 (2008)

S. Bertoluzza and M. Pennacchio
Analysis of Substructuring Preconditioners for Mortar Methods in an Abstract Framework
Appl. Math. Lett. vol. 20, n. 2, 131-137 (2007)

S. Bertoluzza and M. Pennacchio
Preconditioners for High Order Mortar Methods based on Substructuring
in Domain Decomposition Methods in Science and Engineering XVI, Series:
Lecture Notes in Computational Science and Engineering,
O. B. Widlund D. E. Keyes Eds., Springer, vol. 55, 497-504 (2007).

M. Pennacchio, G. Savaré, and P. Colli Franzone
Multiscale Modeling for the Bioelectric Activity of the Heart
SIAM J. Math. Anal., vol. 37, n. 4, 1333-1370 (2006)

M. Pennacchio and V. Simoncini
Substructuring Preconditioners for the Bidomain Extracellular Potential Problem
in Numerical mathematics and advanced applications. Proceedings of ENUMATH 2005,
Springer-Verlag (2006), pag. 475-483.

S. Bertoluzza and M. Pennacchio
Preconditioning the Mortar Method by Substructuring: the high order case
Appl. Numer. Anal. Comput. Math. vol. 1, No. 3, 434-454 (2004)

M. Pennacchio
The Mortar Finite Element Method for Cardiac Reaction-Diffusion Models
Computers in Cardiology 2004; IEEE Proc. vol. 31: 509-512 (2004) (pdf)

M. Pennacchio
The mortar finite element method for the cardiac "bidomain" model of extracellular potential
J. Sci. Comput. , vol. 20, n.2, pag. 191-210 (2004)

V. Simoncini and M. Pennacchio
The behavior of symmetric Krylov subspace methods for solving Mx = (M - γI)v
Linear Alg. Appl., vol. 380, pag. 53-71 (2004)

M. Groppi and M. Pennacchio
An IMEX Finite Volume scheme for Reactive Euler Equations arising from Kinetic Theory
Comm. Math. Sci., vol. 1, n. 3, pag. 449-470 (2003)

M. Pennacchio and V. Simoncini
Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process
J. Comput. Appl. Math., vol. 145, n. 1, pag. 49-70 (2002)

M. Pennacchio
A non-conforming domain decomposition method for the cardiac potential problem.
Computers in Cardiology 2001; IEEE Proc. vol. 28: 537-540 (2001)

M. Pennacchio, P. Colli Franzone, L. Guerri, B. Taccardi
A bidomain explanation of the multiple waveforms in electrograms
in Electrocardiology 2000, Casa Editrice Scientifica Internazionale,
L. De Ambroggi Ed. , pag. 79-83 (2001)

P. Colli Franzone, L. Guerri, M. Pennacchio and B. Taccardi
Anisotropic mechanisms for multiphasic unipolar electrograms: Simulation studies and experimental recordings
Ann. Biomed. Eng., vol. 28, n. 11, pag. 1326-1342 (2000)

M. Pennacchio, P. Colli Franzone, L. Guerri, B. Taccardi
Numerical simulations of electrograms in the left ventricular wall.
Computers in Cardiology 2000; IEEE Proc. vol. 27: 557-560 (2000)

L. Guerri, P. Colli Franzone, M. Pennacchio, B. Taccardi
Myocardial anisotropy and multiphasic electrograms.
Simulations study in monoventricular model.
International Journal of Bioelectromagnetism, n. 2, vol. 2, (2000)

P. Colli Franzone, L. Guerri and M. Pennacchio
Bidomain and eikonal-curvature models for the numerical simulation
of the cardiac activation wavefronts
GAKUTO International Series - Mathematical Sciences and Applications
Vol. 14, Free Boundary Problems: Theory and Applications II, pp. 77-91 (2000)

P. Colli Franzone, M. Pennacchio and L. Guerri
Accurate Computation of Electrograms in the Left Ventricular Wall
Math. Mod. Meth. Appl. Sci., vol. 10, n. 4, pag. 507-538 (2000)

P. Colli Franzone, L. Guerri and M. Pennacchio
Mathematical Models and Problems in Electrocardiology
Riv. Mat. Univ. Parma (6) 2, 123-142 (1999)

P. Colli Franzone, L. Guerri, M. Pennacchio, B. Taccardi
Spread of Excitation in 3-D Models of the Anisotropic Cardiac Tissue.
Part III: Effects of Ventricular Geometry and Fiber Structure on the Potential Distribution
Math. Biosci., 151: 51-98 (1998)

P. Colli Franzone, L. Guerri, M. Pennacchio, B. Taccardi
Spread of Excitation in 3-D Models of the Anisotropic Cardiac Tissue.
Part II: Effects of Fiber Architecture and Ventricular Geometry
Math. Biosci., 147:131-171 (1998)

P. Colli Franzone, L. Guerri, M. Pennacchio
Activation and potential patterns in a 3-D model of ventricular wall
in Biomedizinische Technik, vol. 42, Suppl.1 pag. 9-12 (1997)

P. Colli Franzone, L. Guerri and M. Pennacchio
The forward problem: from myocardial activation to epicardial potentials
Electrocardiology 96, J. Liebman (Ed.), World Scientific, Singapore, pag. 23-32 (1997)

P. Colli Franzone, L. Guerri, M. Pennacchio
Simulation of the spread of excitation in the myocardial tissue
Biomedical and Life Physics, Dhanjoo N. Ghista (Ed.), Vieweg Verlag, 173-180, (1996)

M. Groppi, M. Pennacchio
Numerical Simulation of Electric Field generated by oblique dipole layers in electrocardiology
Journal of Biological Systems, Vol. 3, n. 3, 623-631 (1995)

G. Di Cola, L. Guerri, E. Macchi, T. Morrea, M. Pennacchio and B. Taccardi
Identification of dipolar sources in tridimensional anisotropic cardiac muscle
Mathematical Modelling and Scientific Computing, vol. 2. sect. A pag. 592-599 (1993)

G. Di Cola, T. Morrea, M. Pennacchio
The inverse problem of electrocardiology in terms of sources
Ratio Mathematica - n. 4, pag. 61-70 (1992)

M. Pennacchio
Simulazione numerica di campi elettrici in elettrocardiologia
Riv. Mat. Univ. Parma (5) 1, pag. 91-103 (1992)

To request any of these papers please e-mail me: micol(at)imati.cnr.it