2 papers
math.NA2024
The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component
C. Lin, J. M. Melenk, S. Sauter
We show that the acoustic Green`s function for a half-space impedance problem in arbitrary spatial dimension d can be written as a sum of two terms, each of which is the product of…
math.NA2024
An explicit factorization of the Green's function for an acoustic half-space problem with impedance boundary conditions into an oscillatory exponential and a slowly varying function
C. Lin, J. M. Melenk, S. Sauter
In this paper, new representations of the Green's function for an acoustic d-dimensional half-space problem with impedance boundary conditions are presented. The main features of t…