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Konrad-Zuse-Zentrum fur Informationstechnik Berlin
 

Summary: Konrad-Zuse-Zentrum
fu¨r Informationstechnik Berlin
Takustraße 7
D-14195 Berlin-Dahlem
Germany
FRANK SCHMIDT
Discrete Nonreflecting Boundary Conditions
for the Helmholtz Equation
Accepted for the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation ­ Waves 2000
ZIB-Report 00-06 (March 2000)
Discrete Nonreflecting Boundary Conditions for the
Helmholtz Equation
Frank Schmidt
Abstract: We derive exact discrete nonreflecting boundary conditions for time
harmonic scattering problems modeled by the Helmholtz equation. The main idea is to
consider the exterior problem as an initial value problem with initial data given on the
boundary of the computational domain. The solution of the exterior problem is obtained
via Laplace transformation techniques which supply the boundary conditions in terms of
discrete Dirichletto-Neumann operators
Contents

  

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

 

Collections: Computer Technologies and Information Sciences