A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations

Abstract

This paper presents a new non-overlapping domain decomposition method for the time harmonic Maxwell’s equations, whose effective convergence is quasi-optimal. These improved properties result from a combination of an appropriate choice of transmission conditions and a suitable approximation of the Magnetic-to-Electric operator. A convergence theorem of the algorithm is established and numerical results validating the new approach are presented.

Publication
Journal of Computational Physics
Bertrand Thierry
Bertrand Thierry
Researcher

Permanent researcher at CNRS, working in numerical simulation for wave propagation.

Xavier Antoine
Professor

Related