A sequence of absorbing boundary conditions for Maxwell’s equations

A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell’s equations in time domain

“…From now, we can eliminate the exponent in n and the tildes in the notation, since we study the quadratic form (31) for all the variables E h , H h . To prove the L 2 -stability, it would suffices if we determine a condition for which this quadratic form is definite positive.…”

“…Moreover, we have noticed some problems of stability at high order in the classical PML [29], on some examples by using very distorted meshes. To avoid this problem, another approach consists in using, for instance, an absorbing boundary condition strategy [31]. However, generally, this approach needs to have the boundary of the computational domain far from the object in order to get reasonable reflections.…”