On the convergence of a numerical method for a hypersingular integral equation on a closed surface

DOI10.1134/S0012266110090119zbMath1215.65203WikidataQ115252490 ScholiaQ115252490MaRDI QIDQ633577

G. V. Ryzhakov, Alexey V. Setukha

Publication date: 1 April 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergenceNeumann boundary value problemquadrature formulasLaplace equationlinear integral equationhypersingular integralregularisationdouble-layer potentialHadamard finite valuemethod of vortical frames

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38) Linear integral equations (45A05)

Related Items (8)

Convergence of a numerical method for solving a hypersingular integral equation on a segment with the use of piecewise linear approximations on a nonuniform grid ⋮ Convergence of the piecewise linear approximation and collocation method for a hypersingular integral equation on a closed surface ⋮ Convergence of a numerical scheme of the type of the vortex loop method on a closed surface with an approximation to the surface shape ⋮ On the numerical method for solving a hypersingular integral equation with the computation of the solution gradient ⋮ Lagrangian description of three-dimensional viscous flows at large Reynolds numbers ⋮ On the convergence of the vortex loop method with regularization for the Neumann boundary value problem on a plane screen ⋮ Method of boundary integral equations with hypersingular integrals in boundary-value problems ⋮ Numerical solution of a surface hypersingular integral equation by piecewise linear approximation and collocation methods

Cites Work

• On the three-dimensional Neumann boundary value problem with a generalized boundary condition in a domain with smooth closed boundary
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