Exterior diffraction problems for two-dimensional square lattice
type: Item
instance of: scholarly article
title: Exterior diffraction problems for two-dimensional square lattice
zbMATH Open document ID: 1414.78005
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2018-10-25T00:00:00Z
review text: This work is devoted to the study of the exterior problem for a discrete 2D Helmholtz equation with Dirichlet boundary conditions. Existence and uniqueness of a radiating solution for a set of real wave numbers is obtained. A representation formula for the solution upon a unique solution of a system of linear equations (involving the lattice Green's function) is also obtained. Numerical evaluations are included.
reviewed by: L. P. Castro
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 39A14
Mathematics Subject Classification ID: 39A60
Mathematics Subject Classification ID: 78M20
zbMATH DE Number: 6965737
zbMATH Keywords: discrete wave equation
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Dirichlet boundary condition
zbMATH Keywords: lattice model
author: D. Kapanadze
MaRDI profile type: Publication
full work available at URL: s00033-018-1019-5
OpenAlex ID: W2890985564
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DOI: 10.1007/S00033-018-1019-5
description: scientific article; zbMATH DE number 6965737