A NUMERICAL METHOD FOR EXTERIOR NEUMANN PROBLEM FOR REDUCED WAVE EQUATION

This paper describes a method for solving the two-dimensional problem. The integral approach, acting only on functions defined on the boundary, leads to an always uniquely solvable compact operator equation. In solving this equation integral operators occur which are split into a periodic continuous and a periodic logarithmic singular term. Following K. E. Atkinson these integrals are approximated by appropriate generalized" quadrature formulas which are developed by trigonometric interpolation because of the periodic character of the integrand. An example shows that good results are obtained by the method described here. © 1969 Springer-Verlag."