A Source Problem for the Helmholtz Equation via a Dirichlet-to-Neumann Map

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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.

Original languageEnglish
Article number2298192
JournalAbstract and Applied Analysis
Volume2021
DOIs
Publication statusPublished - 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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