On the Properties of Quasi-periodic Boundary Integral Operators for the Helmholtz Equation

2020 ◽  
Vol 92 (2) ◽  
Author(s):  
Rubén Aylwin ◽  
Carlos Jerez-Hanckes ◽  
José Pinto
Keyword(s):  
Helmholtz Equation ◽  
Periodic Boundary ◽  
Integral Operators ◽  
Boundary Integral ◽  
Boundary Integral Operators

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

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Kuo-Ming Lee
Keyword(s):  
Integral Equation ◽  
Helmholtz Equation ◽  
Dimensional Space ◽  
Integral Operators ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Two Dimensional ◽  
Time Harmonic ◽  
Boundary Integral Operators ◽  
Dirichlet To Neumann Map

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.

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