Publications related to Explicit and implicit methods

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

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

Analytical Model of Single-Sided Linear Induction Motors for High-Speed Applications

André Hodder, Lucien André Félicien Pierrejean, Simone Rametti

This article describes a field-based analytical model of single-sided linear induction motors (SLIMs) that explicitly considers the following effects altogether: finite motor length, magnetomotive force mmf space harmonics, slot effect, edge effect, and ta ...

2024

Stable Nonconvex-Nonconcave Training via Linear Interpolation

Volkan Cevher, Thomas Michaelsen Pethick, Wanyun Xie

This paper presents a theoretical analysis of linear interpolation as a principled method for stabilizing (large-scale) neural network training. We argue that instabilities in the optimization process are often caused by the nonmonotonicity of the loss lan ...

2023

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

Bernard Kapidani, Rafael Vazquez Hernandez

We introduce a high-order spline geometric approach for the initial boundary value problem for Maxwell's equations. The method is geometric in the sense that it discretizes in structure preserving fashion the two de Rham sequences of differential forms inv ...

2023

State-Based Versus Time-Based Estimation of the Gait Phase for Hip Exoskeletons in Steady and Transient Walking

Auke Ijspeert, Mohamed Bouri, Ali Reza Manzoori, Tian Ye

The growing demand for online gait phase (GP) estimation, driven by advancements in exoskeletons and prostheses, has prompted numerous approaches in the literature. Some approaches explicitly use time, while others rely on state variables to estimate the G ...

IEEE 2023

Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to a-synuclein spreading in Parkinson's disease

Alfio Quarteroni, Francesca Bonizzoni

This spreading of prion proteins is at the basis of brain neurodegeneration. This paper deals with the numerical modelling of the misfolding process of a-synuclein in Parkinson's disease. We introduce and analyse a discontinuous Galerkin method for the sem ...

Lausanne2023

Hamiltonian Deep Neural Networks Guaranteeing Non-Vanishing Gradients by Design

Giancarlo Ferrari Trecate, Luca Furieri, Clara Lucía Galimberti, Liang Xu

Deep Neural Networks (DNNs) training can be difficult due to vanishing and exploding gradients during weight optimization through backpropagation. To address this problem, we propose a general class of Hamiltonian DNNs (H-DNNs) that stem from the discretiz ...

2023

Dynamic Modeling of an Origami Prismatic Joint

Jamie Paik, Mustafa Mete, Jian-Lin Huang

Dynamic modeling of folding joints is critical for predicting dynamic behavior, optimizing design parameters, and developing control strategies for origami robots and machines. Although kinematics of the folded joints exists, little research describes thei ...

IEEE2023

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Explicit and implicit methods

Robust mass lumping and outlier removal strategies in isogeometric analysis

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

Analytical Model of Single-Sided Linear Induction Motors for High-Speed Applications

Stable Nonconvex-Nonconcave Training via Linear Interpolation

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

State-Based Versus Time-Based Estimation of the Gait Phase for Hip Exoskeletons in Steady and Transient Walking

Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to a-synuclein spreading in Parkinson's disease

Hamiltonian Deep Neural Networks Guaranteeing Non-Vanishing Gradients by Design

Dynamic Modeling of an Origami Prismatic Joint

Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation

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Chat with Graph Search

State-Based Versus Time-Based Estimation of the Gait Phase for Hip Exoskeletons in Steady and Transient Walking

Dynamic Modeling of an Origami Prismatic Joint

Robust mass lumping and outlier removal strategies in isogeometric analysis

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

Analytical Model of Single-Sided Linear Induction Motors for High-Speed Applications

Stable Nonconvex-Nonconcave Training via Linear Interpolation

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to a-synuclein spreading in Parkinson's disease

Hamiltonian Deep Neural Networks Guaranteeing Non-Vanishing Gradients by Design

Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation