A Spectral Boundary Integral Equation Method for the 2-d Helmholtz Equation

@inproceedings{HuASB,
  title={A Spectral Boundary Integral Equation Method for the 2-d Helmholtz Equation},
  author={Fang Q. Hu}
}
In this paper, we present a new numerical formulation of solving the Boundary Integral Equations reformulated from the Helmholtz equation. The boundaries of the problems are assumed to be smooth closed contours. The solution on the boundary is treated as a periodic function, which is in turn approximated by a truncated Fourier series. A Fourier collocation method is followed in which the boundary integral equation is transformed into a system of algebraic equations. It is shown that in order to… CONTINUE READING
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