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math.NA2022

Co-simulation domain decomposition algorithm for hybrid EMT-Dynamic Phasor modeling

Héléna Shourick, Damien Tromeur-Dervout, Laurent Chédot

An iterative coupling algorithm based on restricted additive Schwarz domain decomposition is investigated to co-simulate electrical circuits with hybrid electromagnetic (EMT) and t…

math.NA2022

MISSILES: an Efficient Resolution of the Co-simulation Coupling Constraint on Nearly Linear Differential Systems through a Global Linear Formulation

Yohan Eguillon, Bruno Lacabanne, Damien Tromeur-Dervout

In a co-simulation context, interconnected systems of differential equations are solved separately but they regularly communicate data to one another during these resolutions. Iter…

math.NA2022

Accelerating the convergence of Dynamic Iteration method with Restricted Additive Schwarz splitting for the solution of RLC circuits

Helena Shourick, Damien Tromeur-Dervout, Laurent Chedot

The dynamic iteration method with a restricted additive Schwarz splitting is investigated to co-simulate linear differential algebraic equations system coming from RLC electrical c…

math.NA2021

Aitken-Schwarz heterogeneous Domain Decomposition for EMT-TS Simulation

Héléna Schourick, Damien Tromeur-Dervout, Laurent Chedot

In this paper, a Schwarz heterogeneous domain decomposition method (DDM) is used to co-simulate an RLC electrical circuit where a part of the domain is modeled with Electro-Magneti…

math.NA2021

F3ORNITS: A Flexible Variable Step Size Non-Iterative Co-simulation Method handling Subsystems with Hybrid Advanced Capabilities

Yohan Eguillon, Bruno Lacabanne, Damien Tromeur-Dervout

This paper introduces the F3ORNITS non-iterative co-simulation algorithm in which F3 stands for the 3 flexible aspects of the method: flexible polynomial order representation of co…

math.NA2021

IFOSMONDI Co-simulation Algorithm with Jacobian-Free Methods in PETSc

Yohan Eguillon, Bruno Lacabanne, Damien Tromeur-Dervout

IFOSMONDI iterative algorithm for implicit co-simulation of coupled physical systems (introduced by the authors in july 2019 during the Simultech conference, p.176-186) enables us…