Exterior diffraction problems for a triangular lattice

Autor:	David Kapanadze, Ekaterina Pesetskaya
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 78A45 (Primary) 35J05 39A14 39A60 74S20 (Secondary) Mechanics of Materials General Mathematics FOS: Mathematics FOS: Physical sciences General Materials Science Mathematical Physics (math-ph) Mathematical Physics Analysis of PDEs (math.AP)
Zdroj:	Mathematics and Mechanics of Solids. :108128652311711
ISSN:	1741-3028 1081-2865
Popis:	Exterior Dirichlet problems for two-dimensional lattice waves on the semi-infinite triangular lattice are considered. Namely, we study Dirichlet problems for the two-dimensional discrete Helmholtz equation in a plane with a hole. New results are obtained for the existence and uniqueness of the solution in the case of the real wave number $k \in (0, 2\sqrt{2})$ without passing to a complex wave number. Besides, Green's representation formula for the solution is derived with the help of difference potentials. To demonstrate the results, we propose a method for numerical calculation. 7 figures. arXiv admin note: text overlap with arXiv:2207.04386
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a5cad53645841aefedfb82e5e988695 https://doi.org/10.1177/10812865231171111 Zobrazit plný text záznamu