Preconditioners for Multi-Screen Scattering

Abstract

In this contribution, a well-conditioned method for the modelling of scattering by so-called multi-screens or PEC sheets including junctions is introduced. The method starts from the inflated screen approach by Claeys and Hiptmair. We introduce a Calderón preconditioner and a suitable discretisation scheme. The resulting scheme contains many more DoFs than strictly required. We will show how almost all redundancy can be removed without significant loss of effectiveness of the method.