An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace's equation

DOI10.1134/S0037446611060036zbMath1248.65125OpenAlexW2035241054MaRDI QIDQ662640

Vladimir N. Belykh

Publication date: 24 February 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446611060036

zbMATH Keywords

error boundLaplace equationsingular integral equationexponential convergence ratesimple layer potentialexterior Neumann boundary value problemdiscretization by collocationtrigonometric interpolation polynomial

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Nonsaturable quadrature formulas on an interval (on Babenko's problem) ⋮ Errors, condition numbers, and guaranteed accuracy of higher-dimensional spherical cubatures ⋮ Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval ⋮ Particular features of implementation of an unsaturated numerical method for the exterior axisymmetric Neumann problem ⋮ Superconvergent algorithms for the numerical solution of the Laplace equation in smooth axisymmetric domains ⋮ The problem of constructing unsaturated quadrature formulae on an interval

Cites Work

• Asymptotics of Kolmogorov's \(\varepsilon \)-entropy for some classes of infinitely differentiable periodic functions (Babenko's problem)
• Exterior axisymmetric Neumann problem for the Laplace equation: Numerical algorithms without saturation
• On solving the problem of an ideal incompressible fluid flow around large-aspect-ratio axisymmetric bodies
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