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The normal derivative of the double layer potential on polygons and Galerkin approximation. (English) Zbl 0508.31003

31A25 Boundary value and inverse problems for harmonic functions in two dimensions
45E99 Singular integral equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
31A15 Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions
35A20 Analyticity in context of PDEs
35D10 Regularity of generalized solutions of PDE (MSC2000)
44A15 Special integral transforms (Legendre, Hilbert, etc.)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
65N15 Error bounds for boundary value problems involving PDEs
Full Text: DOI
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