Abstract
We consider the Helmholtz equation (Δd + k2)u = f on the triangular lattice, where Δd is the discrete Laplacian, f has finite support, and wave number k belongs to the pass‐band. Using the limiting absorption principle, we derive the discrete analogue of the Sommerfeld radiation condition for all values of . It turns out that this condition is anisotropic and depends on the value of k. We introduce the notion of a radiating solution and prove the unique solvability result.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
