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

Kuo-Ming Lee | Zendy

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

Author(s) -

Kuo-Ming Lee

Publication year - 2021

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2021/2298192

Subject(s) - mathematics , helmholtz equation , mathematical analysis , neumann boundary condition , mixed boundary condition , boundary value problem , dirichlet distribution , poincaré–steklov operator , boundary (topology) , dirichlet boundary condition , free boundary problem , robin boundary condition , cauchy boundary condition , electric field integral equation , integral equation

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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