论文信息 - On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation

On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation

SummaryWe describe a quadrature method for the numerical solution of the logarithmic integral equation of the first kind arising from the single-layer approach to the Dirichlet problem for the two-dimensional Helmholtz equation in smooth domains. We develop an error analysis in a Sobolev space setting and prove fast convergence rates for smooth boundary data.

Ian H. Sloan | Rainer Kress | I. Sloan | R. Kress

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