Tuesday, November 20, 2012

1211.4461 (Siegfried Cools et al.)

An efficient multigrid method calculation of the far field map for
Helmholtz problems

Siegfried Cools, Bram Reps, Wim Vanroose
In this paper we present a new highly efficient calculation method for the far field amplitude patterns that arise from scattering problems governed by the d-dimensional Helmholtz equation. The method is based upon a reformulation of the standard real-valued Green's function integral expression for the far field amplitude to a complex contour. On this complex contour the scattered wave can be calculated very efficiently using the iterative multigrid method, resulting in a fast and scalable calculation of the far field mapping. The full complex contour approach is successfully validated on model problems in two and three spatial dimensions.
View original: http://arxiv.org/abs/1211.4461

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