Solving time-harmonic scattering problems based on the pole condition. II: Convergence of the PML method

In this paper we study the PML method for Helmholtz-type scattering problems with radially symmetric potential. The PML method consists of surrounding the computational domain with a perfectly matched sponge layer. We prove that the approximate solution obtained by the PML method converges exponenti...

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Veröffentlicht in:	SIAM journal on mathematical analysis 2003-01, Vol.35 (3), p.547-560
Hauptverfasser:	HOHAGE, Thorsten, SCHMIDT, Frank, ZSCHIEDRICH, Lin
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Exact sciences and technology Integral equations Mathematical analysis Mathematics Methods Sciences and techniques of general use
Online-Zugang:	Volltext
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