Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary

DOI10.1023/A:1018967424040zbMath0887.65135OpenAlexW33051932MaRDI QIDQ1371971

J. Ning

Publication date: 27 April 1998

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1018967424040

zbMATH Keywords

error estimatesSymm's integral equationgraded meshMellin convolutionFourier methodspiecewise smooth boundarydiscrete qualocationlogarithmic-kernel integral equationssubstraction of singularities

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (7)

Collocation with trigonometric polynomials for integral equations to the mixed boundary value problem ⋮ Method of Green's potentials for elliptic PDEs in domains with random apertures ⋮ A Chebyshev polynomial collocation Boundary Integral Equation Method (BIEM) for mixed boundary value problems on nonsmooth boundaries ⋮ Scalar boundary integral equation formulas for the biharmonic equation -- numerical experiments ⋮ A discrete collocation method for Symm's integral equation on curves with corners ⋮ Numerical methods for integral equations of Mellin type ⋮ Qualocation

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