Overview Statistic: PDF-Downloads (blue) and Frontdoor-Views (gray)

Computation of Discrete Transparent Boundary Conditions for the 2D Helmholtz Equation

Please always quote using this URN: urn:nbn:de:0297-zib-3330
  • We present a family of nonlocal transparent boundary conditions for the 2D Helmholtz equation. The whole domain, on which the Helmholtz equation is defined, is decomposed into an interior and an exterior domain. The corresponding interior Helmholtz problem is formulated as a variational problem in standard manner, representing a boundary value problem, whereas the exterior problem is posed as an initial value problem in the radial variable. This problem is then solved approximately by means of the Laplace transformation. The derived boundary conditions are asymptotically correct, model inhomogeneous exterior domains and are simple to implement.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar Statistics - number of accesses to the document
Metadaten
Author:Frank Schmidt
Document Type:ZIB-Report
Date of first Publication:1997/12/12
Series (Serial Number):ZIB-Report (SC-97-64)
ZIB-Reportnumber:SC-97-64
Published in:Appeared in: Optical and Quantum Electronics, 30, No. 5,6, 1998, 427-441
Accept ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.