Convergence of a numerical scheme of the type of the vortex loop method on a closed surface with an approximation to the surface shape

DOI10.1134/S0012266112090108zbMath1269.65140OpenAlexW2109304640MaRDI QIDQ1938872

G. V. Ryzhakov, Alexey V. Setukha

Publication date: 25 February 2013

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

Full work available at URL: https://doi.org/10.1134/s0012266112090108

zbMATH Keywords

convergenceregularizationNeumann boundary value problemquadrature formulasLaplace equationdouble layer potentiallinear hypersingular integral equationHadamard finite value integralvortex loop method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Singular integral equations (45E99)

Related Items (1)

On approximation of surface derivatives of functions with the application of integral operators

Cites Work

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

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