Publications related to An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology

Generalized and Reduced Analytical Formulation for Ultra-Fast 3-D Field and Vector Potential Calculation From Arch-Shaped Axially Magnetized Bodies in Electrical Machines

Basile Kawkabani, Frédéric Michael Maurer

Arch-shaped axially magnetized bodies tend to appear frequently in electrical machine analysis such as in the overhang parts of the classical radial-flux machines as well as in the main parts of the axial-flux machines. The calculation of the 3-D fields or ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Deep learning-based reduced order models in cardiac electrophysiology

Alfio Quarteroni, Andrea Manzoni

Predicting the electrical behavior of the heart, from the cellular scale to the tissue level, relies on the numerical approximation of coupled nonlinear dynamical systems. These systems describe the cardiac action potential, that is the polarization/depola ...

PUBLIC LIBRARY SCIENCE2020

Experimental verification of X-point potential well formation in unfavorable magnetic field direction

Basil Duval, Holger Reimerdes, Christian Gabriel Theiler, Joaquim Loizu Cisquella, Sophie Danielle Angelica Gorno, Claudia Colandrea, Marco Wischmeier, Cedric Kar-Wai Tsui, Mirko Wensing, Hugo De Oliveira

Recent TCV experiments confirm the predicted formation of an electric potential well, below the magnetic X-point, in configurations with unfavorable

B_t

field direction (ion

\nabla B

drift away from the divertor), that substantially reshapes the typica ...

2020

Penalization and Bayesian numerical methods for multiscale inverse problems

Andrea Di Blasio

In this thesis we consider inverse problems involving multiscale elliptic partial differential equations. The name multiscale indicates that these models are characterized by the presence of parameters which vary on different spatial scales (macroscopic, m ...

EPFL2019

A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem

Andrea Manzoni

In this paper we develop a reconstruction algorithm for the solution of an inverse boundary value problem dealing with a semilinear elliptic partial differential equation of interest in cardiac electrophysiology. The goal is the detection of small inhomoge ...

Institute of Physics2017

Implementation of drift velocities and currents in SOLEDGE2D-EIRENE

Davide Galassi, Nicolas Mellet, Eric Serre

In order to improve cross-field transport description, drifts and currents have been implemented in SOLEDGE2D-EIRENE. The derivation of an equation for the electric potential is recalled. The resolution of current equation is tested in a simple slab case. ...

2017

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media

Timothée Noé Pouchon

Modeling wave propagation in highly heterogeneous media is of prime importance in engineering applications of diverse nature such as seismic inversion, medical imaging or the design of composite materials. The numerical approximation of such multiscale phy ...

EPFL2017

MATHICSE Technical Report : Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

Alfio Quarteroni, Andrea Manzoni, Stefano Pagani

The efficient solution of coupled PDEs/ODEs problems arising in cardiac electrophysiology is of key importance whenever interested to study the electrical behavior of the tissue for several instances of relevant physical and/or geometrical parameters. This ...

MATHICSE2017

An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology

Andrea Manzoni

In this paper, we provide a representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction in a simplified monodomain model describing the electrical activity of the heart. We derive such a ...

World Scientific Publishing2016

The impact of the Boussinesq approximation on plasma turbulence in the scrape-off layer

Paolo Ricci, Paola Paruta, Federico David Halpern, Fabio Riva, Christoph Wersal, Baptiste Jimmy Frei, Félix Benedito Clément Musil, Morgan Siffert

Plasma turbulence in the tokamak scrape-off layer (SOL) region, where magnetic field lines are open and intersect the reactor inner walls, determines the heat loads on the limiter or divertor targets. This is one of the most crucial issues on the way towar ...

2016

An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology

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Generalized and Reduced Analytical Formulation for Ultra-Fast 3-D Field and Vector Potential Calculation From Arch-Shaped Axially Magnetized Bodies in Electrical Machines

Deep learning-based reduced order models in cardiac electrophysiology

Experimental verification of X-point potential well formation in unfavorable magnetic field direction

Penalization and Bayesian numerical methods for multiscale inverse problems

A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem

Implementation of drift velocities and currents in SOLEDGE2D-EIRENE

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media

MATHICSE Technical Report : Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology

The impact of the Boussinesq approximation on plasma turbulence in the scrape-off layer

Deep learning-based reduced order models in cardiac electrophysiology

An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology

Penalization and Bayesian numerical methods for multiscale inverse problems

Generalized and Reduced Analytical Formulation for Ultra-Fast 3-D Field and Vector Potential Calculation From Arch-Shaped Axially Magnetized Bodies in Electrical Machines

Experimental verification of X-point potential well formation in unfavorable magnetic field direction

A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem

MATHICSE Technical Report : Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

The impact of the Boussinesq approximation on plasma turbulence in the scrape-off layer

Implementation of drift velocities and currents in SOLEDGE2D-EIRENE

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media