Micol Pennacchio
Research Director
EDUCATION
Ph.D. in Computational Mathematics and Operations Research - University of Milan, Italy, 1995
Advisors: P. Colli Franzone and G. Di Cola
Thesis: ''Modelli matematici del comportamento passivo e attivo del tessuto cardiaco''
Laurea in Mathematics, University of Parma, Italy, 1990
Advisors: G. Di Cola and E. Macchi
Thesis: ''Simulazione numerica di campi elettrici generati da sorgenti dipolari in un mezzo
tridimensionale anisotropo non uniforme: applicazioni a problemi di elettrocardiologia''
Research Activity
Numerical Methods for PDE's
- Polytopal Discretization Methods (Virtual Element Methods)
- Domain Decomposition Methods
- Linear Algebra for PDEs
Reaction-diffusion equationsComputational Elettrocardiology
Recent publications and preprints
- S. Bertoluzza, M. Pennacchio, D. Prada Interior estimates for the Virtual Element Method, to appear in Numerische Mathematik (2024) arXiv:2204.09955
- S. Bertoluzza, M. Montardini, M. Pennacchio, D. Prada, The virtual element method on polygonal pixel-based tessellations, arxiv.org/abs/2206.03449, (2024).
- B. Crippa, S. Bertoluzza, M. Pennacchio Artificial Neural Network evaluation of Poincaré constant for Voronoi polygons (2022) 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, 2022. Download open access article
- S. Bertoluzza, M. Manzini, M. Pennacchio, D. Prada,Stabilization of the Nonconforming Virtual Element Method, Computers & Mathematics with Applications, 2021. Published article - Preprint on ArXiv
- S. Bertoluzza, M. Pennacchio, D. Prada, FETI-DP for the three dimensional virtual element method, SIAM J Numer Anal, 2020. Published article - Postprint on ArXiv
Projects
PRIN 2017 - 201744KLJL_003
Formazione Personale - attuazione Piano Triennale 2017-2019
Formazione Personale - attuazione Piano Triennale 2018-2020
Formazione Personale - attuazione Piano Triennale 2019-2021
Publications
2022, Journal article
Stabilization of the nonconforming virtual element method
S. Bertoluzza, G. Manzini, M. Pennacchio, and D. Prada
We address the issue of designing robust stabilization terms for the nonconforming virtual element method. To this end, we transfer the problem of defining the stabilizing bilinear form from the eleme...
CNR@People | DOI: 10.1016/j.camwa.2021.10.009
2022, Journal article
Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements
S. Bertoluzza, M. Pennacchio, and D. Prada
In the framework of virtual element discretizations, we address the problem of imposing non homogeneous Dirichlet boundary conditions in a weak form, both on polygonal/polyhedral domains and on two/th...
CNR@People | DOI: 10.1016/j.cma.2022.115454
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
Polytopal Element Methods (PEM) allow us solving differential equations on generalpolygonal and polyhedral grids, potentially offering great flexibility to meshgeneration algorithms. Differently from ...
CNR@People | DOI: 10.1016/j.matcom.2021.07.018
2020, Journal article
FETI-DP for the Three Dimensional Virtual Element Method
S. Bertoluzza, M. Pennacchio, and D. Prada
We deal with the finite element tearing and interconnecting dual primal precon- ditioner for elliptic problems discretized by the virtual element method. We extend the result of [S. Bertoluzza, M. Pen...
CNR@People | DOI: 10.1137/18M1233303
2019, Journal article
High order VEM on curved domains
S. Bertoluzza, M. Pennacchio, and D. Prada
We deal with the virtual element method (VEM) for solving the Poisson equation on a domain $Omega$ with curved boundaries. Given a polygonal approximation $Omega_h$ of the domain $Omega$, the standa...
CNR@People | DOI: 10.4171/RLM/853
2017, Journal article
BDDC and FETI-DP for the virtual element method
S. Bertoluzza, M. Pennacchio, and D. Prada
We build and analyze balancing domain decomposition by constraint and finite element tearing and interconnecting dual primal preconditioners for elliptic problems discretized by the virtual element me...
CNR@People | DOI: 10.1007/s10092-017-0242-3
2016, Journal article
Substructuring preconditioners for h-p Mortar FEM
S. Bertoluzza, M. Pennacchio, C. Prud'homme, and A. Samake
We build and analyze a substructuring preconditioner for the Mortar method, applied to elliptic problems, in the h-p finite element framework. Particular attention is given to the construction of the ...
CNR@People | DOI: 10.1051/m2an/2015065
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
We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103-134, (1986) for con...
CNR@People | DOI: 10.1007/s10092-014-0117-9
2011, Journal article
Fast structured AMG preconditioning for the bidomain model in electrocardiology
M. Pennacchio and V. Simoncini
The electrical activity of the heart may be modeled by a nonlinear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electrical field, accurate s...
CNR@People | DOI: 10.1137/100796364
2010, Journal article
Solution of linear systems from an optimal control problem arising in wind simulation
M. Benzi, L. Ferragut, M. Pennacchio, and V. Simoncini
Several solution strategies for a class of large, sparse linear systems with a block 2�2 structure arising from the finite element discretization of an optimal control problem in wind simulation are i...
CNR@People | DOI: 10.1002/nla.679
2009, Journal article
Algebraic multigrid preconditioners for the bidomain reaction-diffusion system
M. Pennacchio and V. Simoncini
The so-called bidomain system is possibly the most complete model for the cardiac bioelectric activity. It consists of a reaction-diffusion system, modeling the intra, extracellular and transmembrane ...
CNR@People | DOI: 10.1016/j.apnum.2009.08.001
2008, Journal article
Substructuring preconditioners for mortar discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The...
CNR@People | DOI: 10.1007/s10915-008-9195-7
2008, Journal article
Substructuring preconditioners for parabolic problems by the mortar method
M. Pennacchio
We study substructuring preconditioners for the linear system arising from the discretization of parabolic problems when the mortar method is applied. By using a suitable non standard norm equivalence...
CNR@People
2007, Journal article
Analysis of substructuring preconditioners for mortar methods in an abstract framework
S. Bertoluzza and M. Pennacchio
A class of preconditioners for the linear system arising from the discretization by the mortar method is studied. We focus on the substructuring approach already applied by Achdou et al. [Y. Achdou, Y...
CNR@People | DOI: 10.1016/j.aml.2006.02.029
2006, Journal article
Multiscale modeling for the electrical activity of the heart
M. Pennacchio, G. Savaré, and P. Colli Franzone
This paper deals with the mathematical models for the electrical activity of the heart at the micro- and macroscopic levels. By using the tools of the ?-convergence theory, a rigorous mathematical der...
CNR@People | DOI: 10.1137/040615249
2004, Journal article
Preconditioning the mortar method by substructuring: the high order case
S. Bertoluzza and M. Pennacchio
We analyze a class of preconditioners for the mortar method, based on substructuring. After splitting in a suitable way the degrees of freedom in interior, edge and vertex, we study the performance of...
CNR@People | DOI: 10.1002/anac.200410008
2004, Journal article
The behavior of symmetric Krylov subspace methods for solving M x= (M - [gamma] I)v
V. Simoncini and M. Pennacchio
We analyze the behavior of Krylov subspace methods for the solution of the symmetric system Mx = (M - gammaI)upsilon when gamma is close to some of the extreme eigenvalues of M. We show that a stagnat...
CNR@People | DOI: 10.1016/S0024-3795(03)00487-7
2004, Journal article
The mortar finite element method for the cardiac bidomain model of extracellular potential
M. Pennacchio
This paper deals with the efficient and accurate computation of extracellular potentials in a simplified model of myocardial tissue. The electrical activity of the heart is characterized by a narrow w...
CNR@People | DOI: 10.1023/B:JOMP.0000008720.85771.d0
2003, Journal article
An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory
M. Groppi and M. Pennacchio
A class of reactive Euler-type equations derived from the kinetic theory of chemical reactions is presented and a finite-volume scheme for such problem is developed. The proposed method is based on a ...
CNR@People | DOI: 10.4310/CMS.2003.v1.n3.a5
2002, Journal article
Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process.
M. Pennacchio and V. Simoncini
In this paper, we deal with the problem of solving the large algebraic linear system arising in the numerical solution of a reaction-diffusion (R-D) system associated with myocardial excitation proces...
CNR@People | DOI: 10.1016/S0377-0427(01)00535-0
2000, Journal article
Accurate computation of electrograms in the left ventricular wall
P. Colli Franzone, M. Pennacchio, and L. Guerri
An integral representation of electrograms is used for large scale simulations in an anisotropic model of the whole left ventricle. Numerical artifacts, like spurious oscillations or peaks, may appear...
CNR@People | DOI: 10.1142/S0218202500000288
2000, Journal article
Anisotropic mechanisms for multiphasic unipolar electrograms: Simulation studies and experimental recordings
P. Colli Franzone, L. Guerri, M. Pennacchio, and B. Taccardi
The origin of the multiple, complex morphologies observed in unipolar epicardial electrograms, and their relationships with myocardial architecture, have not been their elucidated. To clarify this pro...
CNR@People | DOI: 10.1114/1.1327595
1999, Journal article
Mathematical models and problems in electrocardiology
P. Colli Franzone, L. Guerri, and M. Pennacchio
Some mathematical models and problems, arising in electrocardiology, are reviewed.The excitation process, characterized by a front of the transmembrane potential spreading through the myocardium is ex...
CNR@People | Link
1998, Journal article
Spread of excitation in 3-D models of the anisotropic cardiac tissue. II. Effects of fiber architecture and ventricular geometry
P. Colli Franzone, L. Guerri, M. Pennacchio, and B. Taccardi
We investigate a three-dimensional macroscopic model of wave-front propagation related to the excitation process in the left ventricular wall represented by an anisotropic bidomain. The whole left ven...
CNR@People | DOI: 10.1016/S0025-5564(97)00093-X
1998, Journal article
Spread of excitation in 3-D models of the anisotropic cardiac tissue. III. Effects of ventricular geometry and fiber structure on the potential distribution
P. Colli Franzone, L. Guerri, M. Pennacchio, and B. Taccardi
In a previous paper we studied the spread of excitation in a simplified model of the left ventricle, affected by fiber structure and obliqueness, curvature of the wall and Purkinje network. In the pre...
CNR@People | DOI: 10.1016/S0025-5564(98)10004-4
Stabilization of the nonconforming virtual element method
S. Bertoluzza, G. Manzini, M. Pennacchio, and D. Prada
We address the issue of designing robust stabilization terms for the nonconforming virtual element method. To this end, we transfer the problem of defining the stabilizing bilinear form from the eleme...
CNR@People | DOI: 10.1016/j.camwa.2021.10.009
2022, Journal article
Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements
S. Bertoluzza, M. Pennacchio, and D. Prada
In the framework of virtual element discretizations, we address the problem of imposing non homogeneous Dirichlet boundary conditions in a weak form, both on polygonal/polyhedral domains and on two/th...
CNR@People | DOI: 10.1016/j.cma.2022.115454
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
Polytopal Element Methods (PEM) allow us solving differential equations on generalpolygonal and polyhedral grids, potentially offering great flexibility to meshgeneration algorithms. Differently from ...
CNR@People | DOI: 10.1016/j.matcom.2021.07.018
2020, Journal article
FETI-DP for the Three Dimensional Virtual Element Method
S. Bertoluzza, M. Pennacchio, and D. Prada
We deal with the finite element tearing and interconnecting dual primal precon- ditioner for elliptic problems discretized by the virtual element method. We extend the result of [S. Bertoluzza, M. Pen...
CNR@People | DOI: 10.1137/18M1233303
2019, Journal article
High order VEM on curved domains
S. Bertoluzza, M. Pennacchio, and D. Prada
We deal with the virtual element method (VEM) for solving the Poisson equation on a domain $Omega$ with curved boundaries. Given a polygonal approximation $Omega_h$ of the domain $Omega$, the standa...
CNR@People | DOI: 10.4171/RLM/853
2017, Journal article
BDDC and FETI-DP for the virtual element method
S. Bertoluzza, M. Pennacchio, and D. Prada
We build and analyze balancing domain decomposition by constraint and finite element tearing and interconnecting dual primal preconditioners for elliptic problems discretized by the virtual element me...
CNR@People | DOI: 10.1007/s10092-017-0242-3
2016, Journal article
Substructuring preconditioners for h-p Mortar FEM
S. Bertoluzza, M. Pennacchio, C. Prud'homme, and A. Samake
We build and analyze a substructuring preconditioner for the Mortar method, applied to elliptic problems, in the h-p finite element framework. Particular attention is given to the construction of the ...
CNR@People | DOI: 10.1051/m2an/2015065
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
We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103-134, (1986) for con...
CNR@People | DOI: 10.1007/s10092-014-0117-9
2011, Journal article
Fast structured AMG preconditioning for the bidomain model in electrocardiology
M. Pennacchio and V. Simoncini
The electrical activity of the heart may be modeled by a nonlinear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electrical field, accurate s...
CNR@People | DOI: 10.1137/100796364
2010, Journal article
Solution of linear systems from an optimal control problem arising in wind simulation
M. Benzi, L. Ferragut, M. Pennacchio, and V. Simoncini
Several solution strategies for a class of large, sparse linear systems with a block 2�2 structure arising from the finite element discretization of an optimal control problem in wind simulation are i...
CNR@People | DOI: 10.1002/nla.679
2009, Journal article
Algebraic multigrid preconditioners for the bidomain reaction-diffusion system
M. Pennacchio and V. Simoncini
The so-called bidomain system is possibly the most complete model for the cardiac bioelectric activity. It consists of a reaction-diffusion system, modeling the intra, extracellular and transmembrane ...
CNR@People | DOI: 10.1016/j.apnum.2009.08.001
2008, Journal article
Substructuring preconditioners for mortar discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The...
CNR@People | DOI: 10.1007/s10915-008-9195-7
2008, Journal article
Substructuring preconditioners for parabolic problems by the mortar method
M. Pennacchio
We study substructuring preconditioners for the linear system arising from the discretization of parabolic problems when the mortar method is applied. By using a suitable non standard norm equivalence...
CNR@People
2007, Journal article
Analysis of substructuring preconditioners for mortar methods in an abstract framework
S. Bertoluzza and M. Pennacchio
A class of preconditioners for the linear system arising from the discretization by the mortar method is studied. We focus on the substructuring approach already applied by Achdou et al. [Y. Achdou, Y...
CNR@People | DOI: 10.1016/j.aml.2006.02.029
2006, Journal article
Multiscale modeling for the electrical activity of the heart
M. Pennacchio, G. Savaré, and P. Colli Franzone
This paper deals with the mathematical models for the electrical activity of the heart at the micro- and macroscopic levels. By using the tools of the ?-convergence theory, a rigorous mathematical der...
CNR@People | DOI: 10.1137/040615249
2004, Journal article
Preconditioning the mortar method by substructuring: the high order case
S. Bertoluzza and M. Pennacchio
We analyze a class of preconditioners for the mortar method, based on substructuring. After splitting in a suitable way the degrees of freedom in interior, edge and vertex, we study the performance of...
CNR@People | DOI: 10.1002/anac.200410008
2004, Journal article
The behavior of symmetric Krylov subspace methods for solving M x= (M - [gamma] I)v
V. Simoncini and M. Pennacchio
We analyze the behavior of Krylov subspace methods for the solution of the symmetric system Mx = (M - gammaI)upsilon when gamma is close to some of the extreme eigenvalues of M. We show that a stagnat...
CNR@People | DOI: 10.1016/S0024-3795(03)00487-7
2004, Journal article
The mortar finite element method for the cardiac bidomain model of extracellular potential
M. Pennacchio
This paper deals with the efficient and accurate computation of extracellular potentials in a simplified model of myocardial tissue. The electrical activity of the heart is characterized by a narrow w...
CNR@People | DOI: 10.1023/B:JOMP.0000008720.85771.d0
2003, Journal article
An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory
M. Groppi and M. Pennacchio
A class of reactive Euler-type equations derived from the kinetic theory of chemical reactions is presented and a finite-volume scheme for such problem is developed. The proposed method is based on a ...
CNR@People | DOI: 10.4310/CMS.2003.v1.n3.a5
2002, Journal article
Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process.
M. Pennacchio and V. Simoncini
In this paper, we deal with the problem of solving the large algebraic linear system arising in the numerical solution of a reaction-diffusion (R-D) system associated with myocardial excitation proces...
CNR@People | DOI: 10.1016/S0377-0427(01)00535-0
2000, Journal article
Accurate computation of electrograms in the left ventricular wall
P. Colli Franzone, M. Pennacchio, and L. Guerri
An integral representation of electrograms is used for large scale simulations in an anisotropic model of the whole left ventricle. Numerical artifacts, like spurious oscillations or peaks, may appear...
CNR@People | DOI: 10.1142/S0218202500000288
2000, Journal article
Anisotropic mechanisms for multiphasic unipolar electrograms: Simulation studies and experimental recordings
P. Colli Franzone, L. Guerri, M. Pennacchio, and B. Taccardi
The origin of the multiple, complex morphologies observed in unipolar epicardial electrograms, and their relationships with myocardial architecture, have not been their elucidated. To clarify this pro...
CNR@People | DOI: 10.1114/1.1327595
1999, Journal article
Mathematical models and problems in electrocardiology
P. Colli Franzone, L. Guerri, and M. Pennacchio
Some mathematical models and problems, arising in electrocardiology, are reviewed.The excitation process, characterized by a front of the transmembrane potential spreading through the myocardium is ex...
CNR@People | Link
1998, Journal article
Spread of excitation in 3-D models of the anisotropic cardiac tissue. II. Effects of fiber architecture and ventricular geometry
P. Colli Franzone, L. Guerri, M. Pennacchio, and B. Taccardi
We investigate a three-dimensional macroscopic model of wave-front propagation related to the excitation process in the left ventricular wall represented by an anisotropic bidomain. The whole left ven...
CNR@People | DOI: 10.1016/S0025-5564(97)00093-X
1998, Journal article
Spread of excitation in 3-D models of the anisotropic cardiac tissue. III. Effects of ventricular geometry and fiber structure on the potential distribution
P. Colli Franzone, L. Guerri, M. Pennacchio, and B. Taccardi
In a previous paper we studied the spread of excitation in a simplified model of the left ventricle, affected by fiber structure and obliqueness, curvature of the wall and Purkinje network. In the pre...
CNR@People | DOI: 10.1016/S0025-5564(98)10004-4
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
In this work we report some results, obtained within the framework of the ERC Project CHANGE, on the impact on the performance of the virtual element method of the shape of the polygonal elements of t...
CNR@People | DOI: 10.1007/978-3-030-95319-5
VEM and the Mesh
Tommaso Sorgente, Daniele Prada, Daniela Cabiddu, Silvia Biasotti, Giuseppe Patanè, Micol Pennacchio, Silvia Bertoluzza, Gianmarco Manzini and Michela Spagnuolo
In this work we report some results, obtained within the framework of the ERC Project CHANGE, on the impact on the performance of the virtual element method of the shape of the polygonal elements of t...
CNR@People | DOI: 10.1007/978-3-030-95319-5
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
We present a new method for defining and meshing patient-specfic domains from medicalimages. Our approach is based on an atlas image segmentation technique, and relies on the modularregistration algor...
CNR@People | DOI: 10.1051/proc/202067010
2019, Conference proceedings
FETI-DP preconditioners for the virtual element method on general 2D meshes
D. Prada, S. Bertoluzza, M. Pennacchio, and M. Livesu
We analyze the performance of a state-of-the-art domain decomposition approach, the Finite Element Tearing and Interconnecting Dual Primal (FETI-DP) method (Toselli and Widlund, Domain decomposition m...
CNR@People | DOI: 10.1007/978-3-319-96415-7_12
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
We present here the generic parallel computational framework in C++called Feel++for the mortar finite element method with the arbitrary number of subdomain partitions in 2D and 3D. An iterative method...
CNR@People | DOI: 10.1051/proc/201343014
2010, Meeting abstracts
Algebraic multigrid preconditioners in computational electrocardiology
M. Pennacchio and V. Simoncini
N/A
CNR@People
2010, Meeting abstracts
Efficient structured AMG preconditioners for the cardiac bidomain model in 3D
M. Pennacchio and V. Simoncini
N/A
CNR@People
2010, Conference proceedings
Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system
M. Pennacchio and V. Simoncini
We deal with the efficient solution of the so-called bidomain system which is possibly the most complete model for the cardiac bioelectric activity. We study the performance of a non-symmetric structu...
CNR@People | DOI: 10.1007/978-3-642-11795-4_78
2008, Meeting abstracts
Substructuring preconditioners for mortar discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
N/A
CNR@People
2007, Conference communications
Multiscale modelling and numerical methods for the bioelectric activity of the heart
M. Pennacchio
N/A
CNR@People
2007, Conference proceedings
Preconditioners for high order mortar methods based on substructuring
S. Bertoluzza and M. Pennacchio
A class of preconditioners for the Mortar Method based on substructuring is studied. We generalize the results of Achdou, Maday and Widlund [1], obtained for the case of order one finite elements, to ...
CNR@People | DOI: 10.1007/978-3-540-34469-8_62
2006, Conference proceedings
Substructuring preconditioners for the bidomain extracellular potential problem
M. Pennacchio and V. Simoncini
We study the efficient solution of the linear system arising from the discretization by the mortar method of mathematical models in electrocardiology. We focus on the bidomain extracellular potential ...
CNR@People | DOI: 10.1007/978-3-540-34288-5_43
2004, Conference proceedings
The mortar finite element method for cardiac reaction-diffusion models
M. Pennacchio
We deal with the problem modeling the electrical activity of the heart and a non conforming non overlapping domain decomposition method, based on the Mortar FEM, is proposed.The aim is to devise a num...
CNR@People
2003, Conference communications
The mortar finite element method in computational electrocardiology
Pennacchio M.
N/A
CNR@People
2001, Conference proceedings
A bidomain explanation of the multiple waveforms in electrograms
M. Pennacchio, P. Colli Franzone, L. Guerri, and B. Taccardi
N/A
CNR@People
2000, Conference proceedings
Bidomain and eikonal-curvature models for the numerical simulation of the cardiac excitation wavefronts
P. Colli Franzone, L. Guerri, and M. Pennacchio
We briefly review some recent progress in the development of anisotropic models for large scale simulations of the spread of the cardiac excitation. At a macroscopic level the cardiac tissue can be re...
CNR@People
2000, Conference proceedings
Myocardial anisotropy and multiphasic electrograms. Simulations study in a monoventricular model
L. Guerri, P. Colli Franzone, M. Pennacchio, and B. Taccardi
Unipolar epicardial electrograms are affected by the fiber structure and anisotropy of the myocardial tissue. The electrogram shape can vary from monophasic to pentaphasic. This problem is investigate...
CNR@People | Link
2000, Conference proceedings
Numerical simulations of electrograms in the left ventricular wall
M. Pennacchio, P. Colli Franzone, L. Guerri, and B. Taccardi
This paper addresses the numerical simulations of electrograms in an anisotropic model of the left ventricle.To accurately compute electrograms (EGs), inside or outside the myocardial wall, a special ...
CNR@People | DOI: 10.1109/CIC.2000.898582
1996, Conference proceedings
Simulation of the spread of excitation in the myocardial tissue
P. Colli Franzone, L. Guerri, and M. Pennacchio
The mathematical modeling and simulation of the bioelectric activity of the heart, at the cellular or at the macroscopic level, is the subject of much past and present research. These models exhibit a...
CNR@People | DOI: 10.1007/978-3-322-85017-1_16
Geometry description and mesh construction from medical imaging
M. G. Carlino, P. Ricka, M. Phan, S. Bertoluzza, M. Pennacchio, G. Patane' and M. Spagnuolo
We present a new method for defining and meshing patient-specfic domains from medicalimages. Our approach is based on an atlas image segmentation technique, and relies on the modularregistration algor...
CNR@People | DOI: 10.1051/proc/202067010
2019, Conference proceedings
FETI-DP preconditioners for the virtual element method on general 2D meshes
D. Prada, S. Bertoluzza, M. Pennacchio, and M. Livesu
We analyze the performance of a state-of-the-art domain decomposition approach, the Finite Element Tearing and Interconnecting Dual Primal (FETI-DP) method (Toselli and Widlund, Domain decomposition m...
CNR@People | DOI: 10.1007/978-3-319-96415-7_12
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
We present here the generic parallel computational framework in C++called Feel++for the mortar finite element method with the arbitrary number of subdomain partitions in 2D and 3D. An iterative method...
CNR@People | DOI: 10.1051/proc/201343014
2010, Meeting abstracts
Algebraic multigrid preconditioners in computational electrocardiology
M. Pennacchio and V. Simoncini
N/A
CNR@People
2010, Meeting abstracts
Efficient structured AMG preconditioners for the cardiac bidomain model in 3D
M. Pennacchio and V. Simoncini
N/A
CNR@People
2010, Conference proceedings
Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system
M. Pennacchio and V. Simoncini
We deal with the efficient solution of the so-called bidomain system which is possibly the most complete model for the cardiac bioelectric activity. We study the performance of a non-symmetric structu...
CNR@People | DOI: 10.1007/978-3-642-11795-4_78
2008, Meeting abstracts
Substructuring preconditioners for mortar discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
N/A
CNR@People
2007, Conference communications
Multiscale modelling and numerical methods for the bioelectric activity of the heart
M. Pennacchio
N/A
CNR@People
2007, Conference proceedings
Preconditioners for high order mortar methods based on substructuring
S. Bertoluzza and M. Pennacchio
A class of preconditioners for the Mortar Method based on substructuring is studied. We generalize the results of Achdou, Maday and Widlund [1], obtained for the case of order one finite elements, to ...
CNR@People | DOI: 10.1007/978-3-540-34469-8_62
2006, Conference proceedings
Substructuring preconditioners for the bidomain extracellular potential problem
M. Pennacchio and V. Simoncini
We study the efficient solution of the linear system arising from the discretization by the mortar method of mathematical models in electrocardiology. We focus on the bidomain extracellular potential ...
CNR@People | DOI: 10.1007/978-3-540-34288-5_43
2004, Conference proceedings
The mortar finite element method for cardiac reaction-diffusion models
M. Pennacchio
We deal with the problem modeling the electrical activity of the heart and a non conforming non overlapping domain decomposition method, based on the Mortar FEM, is proposed.The aim is to devise a num...
CNR@People
2003, Conference communications
The mortar finite element method in computational electrocardiology
Pennacchio M.
N/A
CNR@People
2001, Conference proceedings
A bidomain explanation of the multiple waveforms in electrograms
M. Pennacchio, P. Colli Franzone, L. Guerri, and B. Taccardi
N/A
CNR@People
2000, Conference proceedings
Bidomain and eikonal-curvature models for the numerical simulation of the cardiac excitation wavefronts
P. Colli Franzone, L. Guerri, and M. Pennacchio
We briefly review some recent progress in the development of anisotropic models for large scale simulations of the spread of the cardiac excitation. At a macroscopic level the cardiac tissue can be re...
CNR@People
2000, Conference proceedings
Myocardial anisotropy and multiphasic electrograms. Simulations study in a monoventricular model
L. Guerri, P. Colli Franzone, M. Pennacchio, and B. Taccardi
Unipolar epicardial electrograms are affected by the fiber structure and anisotropy of the myocardial tissue. The electrogram shape can vary from monophasic to pentaphasic. This problem is investigate...
CNR@People | Link
2000, Conference proceedings
Numerical simulations of electrograms in the left ventricular wall
M. Pennacchio, P. Colli Franzone, L. Guerri, and B. Taccardi
This paper addresses the numerical simulations of electrograms in an anisotropic model of the left ventricle.To accurately compute electrograms (EGs), inside or outside the myocardial wall, a special ...
CNR@People | DOI: 10.1109/CIC.2000.898582
1996, Conference proceedings
Simulation of the spread of excitation in the myocardial tissue
P. Colli Franzone, L. Guerri, and M. Pennacchio
The mathematical modeling and simulation of the bioelectric activity of the heart, at the cellular or at the macroscopic level, is the subject of much past and present research. These models exhibit a...
CNR@People | DOI: 10.1007/978-3-322-85017-1_16
2006, Working paper
Substructuring preconditioners for Mortar Discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The...
CNR@People
2006, Technical report
Substructuring Preconditioners for Mortar Discretization of Parabolic Problems
M. Pennacchio
In this paper we present new efficient variants of structured preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The new...
CNR@People
2003, Technical report
The mortar finite element method for the cardiac "monodomain" model of transmembrane potential
M. Pennacchio
A non-conforming non-overlapping domain decomposition, based on the Mortar FEM, is proposed for the problem modeling the electrical activity of the heart. The aim is to devise a numerical method that ...
CNR@People
Substructuring preconditioners for Mortar Discretization of a degenerate evolution problem
M. Pennacchio and V. Simoncini
In this paper we present new efficient variants of substructuring preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The...
CNR@People
2006, Technical report
Substructuring Preconditioners for Mortar Discretization of Parabolic Problems
M. Pennacchio
In this paper we present new efficient variants of structured preconditioners for algebraic linear systems arising from the mortar discretization of a degenerate parabolic system of equations. The new...
CNR@People
2003, Technical report
The mortar finite element method for the cardiac "monodomain" model of transmembrane potential
M. Pennacchio
A non-conforming non-overlapping domain decomposition, based on the Mortar FEM, is proposed for the problem modeling the electrical activity of the heart. The aim is to devise a numerical method that ...
CNR@People
