Opuscula Math. 27, no. 2 (2007), 197-203
Transmission problems for the Helmholtz equation for a rectilinear-circular lune
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.