Method of interior boundaries in a mixed problem of acoustic scattering
type: Item
instance of: scholarly article
title: Method of interior boundaries in a mixed problem of acoustic scattering
zbMATH Open document ID: 0948.65134
DOI: 10.1155/S1024123X99001052
author: P. A. Krutitskii
published in: Mathematical Problems in Engineering
publication date: 2000-06-04T00:00:00Z
full work available at URL: https://eudml.org/doc/48568
review text: The author studies the mixed problem for the Helmholtz equation in the exterior of several obstacles in two and three dimensions, where Dirichlet boundary conditions on some obstacles and impedance boundary conditions on the rest are given. The problem is reduced to a uniquely solvable Fredholm integral equation of the second kind. To derive this integral equation, additional boundaries are introduced inside scattering bodies with impedance conditions, and the solution is obtained in the form of potentials on the whole boundary.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 31A10
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 1428498
zbMATH Keywords: acoustic scattering
zbMATH Keywords: mixed problem
zbMATH Keywords: boundary integral equation
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Fredholm integral equation
reviewed by: Johannes Elschner
MaRDI profile type: Publication
OpenAlex ID: W1985044838
description: scientific article; zbMATH DE number 1428498