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20162026
most citedParallel-In-Time Simulation of Eddy Current Problems Using Parareal

36 citations · 98 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.NA2026

Magnetic Field Conforming Multiscale Formulations for Locally-Confined Nonlinear Eddy Current Problems Using the FE-HMM Method

Innocent Niyonzima, Gérard Meunier, Antoine Marteau +4

Magnetic composites used for the conversion of electrical energy often incorporate ferromagnetic inclusions insulated from each other to mitigate eddy current losses. Numerical mod…

math.NA2019★ 20 cited

Modeling and simulation of nonlinear electro-thermo-mechanical continua with application to shape memory polymeric medical devices

Innocent Niyonzima, Yang Jiao, Jacob Fish

Shape memory materials have gained considerable attention thanks to their ability to change physical properties when subjected to external stimuli such as temperature, pH, humidity…

math.NA2018★ 25 cited

A New Parareal Algorithm for Problems with Discontinuous Sources

Martin J. Gander, Iryna Kulchytska-Ruchka, Innocent Niyonzima +1

The Parareal algorithm allows to solve evolution problems exploiting parallelization in time. Its convergence and stability have been proved under the assumption of regular (smooth…

math.NA2017

Multiscale Finite Element Modeling of Nonlinear Magnetoquasistatic Problems Using Magnetic Induction Conforming Formulations

Innocent Niyonzima, Ruth V. Sabariego, Patrick Dular +2

In this paper we develop magnetic induction conforming multiscale formulations for magnetoquasistatic problems involving periodic materials. The formulations are derived using the…

math.NA2017★ 4 cited

ParaExp using Leapfrog as Integrator for High-Frequency Electromagnetic Simulations

Melina Merkel, Innocent Niyonzima, Sebastian Schöps

Recently, ParaExp was proposed for the time integration of linear hyperbolic problems. It splits the time interval of interest into sub-intervals and computes the solution on each…

math.NA2016★ 7 cited

Waveform Relaxation for the Computational Homogenization of Multiscale Magnetoquasistatic Problems

Innocent Niyonzima, Christophe Geuzaine, Sebastian Schöps

This paper proposes the application of the waveform relaxation method to the homogenization of multiscale magnetoquasistatic problems. In the monolithic heterogeneous multiscale me…

math.NA2016★ 2 cited

An Application of ParaExp to Electromagnetic Wave Problems

Melina Merkel, Innocent Niyonzima, Sebastian Schöps

Recently, ParaExp was proposed for the time integration of hyperbolic problems. It splits the time interval of interest into sub-intervals and computes the solution on each sub-int…