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


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.

Journal of Computational Physics