Conference Papers Year : 2024

A Quasi-Trefftz Method Based on a Flux Reconstruction Local Solver for the Time-Harmonic Maxwell System

Abstract

The simulation of time-harmonic electromagnetic waves in wide domains with classic methods induces large linear systems which are poorly adapted to iterative resolution. We introduce an iterative quasi-Trefftz method for the Maxwell's equations, where the basis functions are parameterised by a polynomial approximation of an impedance trace space, and computed thanks to a Flux Reconstruction method, allowing to overtake some limitations of the classic choice of plane waves.
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Dates and versions

hal-04843904 , version 1 (17-12-2024)

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  • HAL Id : hal-04843904 , version 1

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Sébastien Pernet, Matthias Rivet, Sébastien Tordeux. A Quasi-Trefftz Method Based on a Flux Reconstruction Local Solver for the Time-Harmonic Maxwell System. WAVES 2024 - The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jun 2024, Berlin, Germany. ⟨hal-04843904⟩
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