A Source Problem for the Helmholtz Equation via a Dirichlet-to-Neumann Map
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Published:2021-08-22
Issue:
Volume:2021
Page:1-7
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ISSN:1687-0409
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Container-title:Abstract and Applied Analysis
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language:en
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Short-container-title:Abstract and Applied Analysis
Affiliation:
1. Department of Mathematics, National Cheng Kung University, Taiwan
Abstract
In this paper, we consider a source problem for a time harmonic acoustic wave in two-dimensional space. Based on the boundary integral equation method, a Dirichlet-to-Neumann map in terms of boundary integral operators on the boundary of the source is constructed to transform this problem into two boundary value problems for the Helmholtz equation.
Funder
Ministry of Science and Technology of the People's Republic of China
Publisher
Hindawi Limited
Subject
Applied Mathematics,Analysis
Reference14 articles.
1. BurtonJ. A.The solution of Helmholtz equation in exterior domains using integral equationNPL Report NAC 301973Middlesex