Publications associées à Stabilité numérique

The time-domain Cartesian multipole expansion of electromagnetic fields

Marcos Rubinstein, Farhad Rachidi-Haeri, Elias Per Joachim Le Boudec, Chaouki Kasmi, Nicolas Mora Parra, Emanuela Radici

Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

2024

Pseudo-Three-Dimensional Analytical Model of Linear Induction Motors for High-Speed Applications

Mario Paolone, André Hodder, Lucien André Félicien Pierrejean, Simone Rametti

Literature on linear induction motors (LIMs) has proposed several approaches to model the behavior of such devices for different applications. In terms of accuracy and fidelity, field analysis-based models are the most relevant. Closed-form or numerical so ...

2024

Pore size estimation in axon-mimicking microfibers with diffusion-relaxation MRI

Jean-Philippe Thiran, Erick Jorge Canales Rodriguez, Marco Pizzolato, Muhamed Barakovic, Tim Bjørn Dyrby

Purpose: This study aims to evaluate two distinct approaches for fiber radius estimation using diffusion-relaxation MRI data acquired in biomimetic microfiber phantoms that mimic hollow axons. The methods considered are the spherical mean power-law approac ...

Hoboken2024

Robust mass lumping and outlier removal strategies in isogeometric analysis

Annalisa Buffa, Espen Sande, Yannis Dirk Voet

Mass lumping techniques are commonly employed in explicit time integration schemes for problems in structural dynamics and both avoid solving costly linear systems with the consistent mass matrix and increase the critical time step. In isogeometric analysi ...

2024

An integrated heart-torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation

Alfio Quarteroni, Francesco Regazzoni

When generating in-silico clinical electrophysiological outputs, such as electrocardiograms (ECGs) and body surface potential maps (BSPMs), mathematical models have relied on single physics, i.e. of the cardiac electrophysiology (EP), neglecting the role o ...

Elsevier Science Sa2024

Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE

Marco Picasso, Alexandre Caboussat, Maude Girardin

We present a finite elements-neural network approach for the numerical approximation of parametric partial differential equations. The algorithm generates training data from finite element simulations, and uses a data -driven (supervised) feedforward neura ...

Lausanne2024

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

Marco Picasso, Paride Passelli

The p-Laplacian problem -del & sdot; ((mu + |del u|(p-2))del u) = f is considered, where mu is a given positive number. An anisotropic a posteriori residual-based error estimator is presented. The error estimator is shown to be equivalent, up to higher ord ...

Walter De Gruyter Gmbh2024

Robust Data-Driven Controller Design with Finite Frequency Samples

Alireza Karimi, Philippe Louis Schuchert

Modern control synthesis methods rely on accurate models to derive a performant controller. Obtaining a good model is often a costly step, and has led to a renewed interest in data-driven synthesis methods. Frequency-response-based synthesis methods have b ...

2024

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Stabilité numérique

The time-domain Cartesian multipole expansion of electromagnetic fields

Pseudo-Three-Dimensional Analytical Model of Linear Induction Motors for High-Speed Applications

Pore size estimation in axon-mimicking microfibers with diffusion-relaxation MRI

Robust mass lumping and outlier removal strategies in isogeometric analysis

An integrated heart-torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation

Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

Unified Harmonic Power-Flow and Stability Analysis of Power Grids with Converter-Interfaced Distributed Energy Resources

Robust Data-Driven Controller Design with Finite Frequency Samples

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

Graph Chatbot

Chattez avec Graph Search

Unified Harmonic Power-Flow and Stability Analysis of Power Grids with Converter-Interfaced Distributed Energy Resources

Adaptive Finite Elements with Large Aspect Ratio. Application to Aluminium Electrolysis

Robust Data-Driven Controller Design with Finite Frequency Samples

Pore size estimation in axon-mimicking microfibers with diffusion-relaxation MRI

Pseudo-Three-Dimensional Analytical Model of Linear Induction Motors for High-Speed Applications

Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE

The time-domain Cartesian multipole expansion of electromagnetic fields

Robust mass lumping and outlier removal strategies in isogeometric analysis

Anisotropic Adaptive Finite Elements for a p-Laplacian Problem

An integrated heart-torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation