title: A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with an application to aeroacoustics.
abstract: We consider the second order wave equation in an unbounded domain and propose an advanced perfectly matched layer (PML) technique for its efficient and reliable simulation. In doing so, we concentrate on the time domain case and use the finite-element (FE) method for the space discretization. Our un-split-PML formulation requires four auxiliary variables within the PML region in three space dimensions. For a reduced version (rPML), we present a long time stability proof based on an energy analysis. The numerical case studies and an application example demonstrate the good performance and long time stability of our formulation for treating open domain problems.
authors.affiliation: Institute of Applied Analysis, Alpen-Adria-Universität Klagenfurt, Austria.
authors.forename: Barbara
authors.initials: B
authors.lastname: Kaltenbacher
authors.forename: Manfred
authors.initials: M
authors.lastname: Kaltenbacher
authors.forename: Imbo
authors.initials: I
authors.lastname: Sim
keywords: Finite element method; Perfectly matched layer; Time-domain analysis