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

Transparent Boundary Conditions for a Wide-Angle Approximation of the One-Way Helmholtz Equation

Please always quote using this URN: urn:nbn:de:0297-zib-4345
  • We present nonlocal discrete transparent boundary conditions for a fourth-order wide-angle approximation of the two-dimensional Helmholtz equation. The boundary conditions are exact in the sense that they supply the same discrete solution on a bounded interior domain as would be obtained by considering the problem on the entire unbounded domain with zero boundary conditions at infinity. The proposed algorithm results in an unconditionally stable propagation method. Numerical examples from optics illustrate the efficiency of our approach.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar Statistics - number of accesses to the document
Metadaten
Author:Tilman Friese, Frank Schmidt, David Yevick
Document Type:ZIB-Report
Tag:Finite-element method; Helmholtz equation; Transparent boundary conditions; Wide-angle approximation
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M55 Multigrid methods; domain decomposition
65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Date of first Publication:1999/12/16
Series (Serial Number):ZIB-Report (SC-99-45)
ZIB-Reportnumber:SC-99-45
Published in:Appeared in: J. Comput. Phys. 165 (2000) 645-659
Accept ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.