Opuscula Math. 27, no. 2 (2007), 197-203

 
Opuscula Mathematica

Transmission problems for the Helmholtz equation for a rectilinear-circular lune

Volodymyr Denysenko

Abstract. The question related to the construction of the solution of plane transmission problem for the Helmholtz equation in a rectilinear-circular lune is considered. An approach is proposed based on the method of partial domains and the principle of reflection for the solutions of the Helmholtz equation through the segment.

Keywords: Helmholtz equation, transmission problem, infinite system of linear algebraic equations.

Mathematics Subject Classification: 65N38, 35J25.

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  • Volodymyr Denysenko
  • Kyiv National University of Trade and Economics, 19 Kioto Street, Kyiv 02156, Ukraine
  • Received: 2006-11-19.
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Cite this article as:
Volodymyr Denysenko, Transmission problems for the Helmholtz equation for a rectilinear-circular lune, Opuscula Math. 27, no. 2 (2007), 197-203

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