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Konrad-Zuse-Zentrum fr Informationstechnik Berlin
 

Summary: Konrad-Zuse-Zentrum
für Informationstechnik Berlin
Takustraße 7
D-14195 Berlin-Dahlem
Germany
THORSTEN HOHAGE,FRANK SCHMIDT,LIN ZSCHIEDRICH
A new method for the solution of scattering problems
ZIB-Report 02-01 (Januar 2002)
A new method for the solution of scattering problems
Thorsten Hohage , Frank Schmidt and Lin Zschiedrich
Konrad-Zuse-Zentrum Berlin
Abstract
We present a new efficient algorithm for the solution of direct time-harmonic scattering problems based on
the Laplace transform. This method does not rely on an explicit knowledge of a Green function or a series
representation of the solution, and it can be used for the solution of problems with radially symmetric potentials
and problems with waveguides. The starting point is an alternative characterization of outgoing waves called
pole condition, which is equivalent to Sommerfeld's radiation condition for problems with radially symmetric
potentials. We obtain a new representation formula, which can be used for a numerical evaluation of the exterior
field in a postprocessing step. Based on previous theoretical studies, we discuss the numerical realization of our
algorithm and compare its performance to the PML method.

  

Source: Andrzejak, Artur - Konrad-Zuse-Zentrum für Informationstechnik Berlin

 

Collections: Computer Technologies and Information Sciences