On the convergence of the vortex loop method with regularization for the Neumann boundary value problem on a plane screen

DOI10.1134/S0012266111090138zbMath1237.65135MaRDI QIDQ656500

G. V. Ryzhakov, Alexey V. Setukha

Publication date: 18 January 2012

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

zbMATH Keywords

convergencecollocation methodfinite elementerror boundLaplace equationsingular integral equationNeumann problemexterior boundary value problem

Mathematics Subject Classification ID

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 (4)

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 ⋮ Neumann problem for \(p\)-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity ⋮ Numerical solution of a surface hypersingular integral equation by piecewise linear approximation and collocation methods

Cites Work

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

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