Numerical solution of the integral equation of the first kind with a weak singularity for the density of a simple layer potential

DOI10.1016/0041-5553(88)90040-7zbMath0698.65087OpenAlexW1967129484MaRDI QIDQ3476255

S. I. Smagin

Publication date: 1988

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(88)90040-7

zbMATH Keywords

stabilitynumerical examplesprojection methodtwo-dimensional integral equationsimple layer potential

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (4)

Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form ⋮ On the existence of mosaic-skeleton approximations for discrete analogues of integral operators ⋮ Parallel mosaic-skeleton algorithm for the numerical solution of a three-dimensional scalar scattering problem in integral form ⋮ On numerical solution of a first kind integral equation with a weak singularity in the kernel on a closed surface

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