A Nyström method for boundary integral equations on domains with a piecewise smooth boundary

DOI10.1216/jiea/1181075745zbMath0780.65071OpenAlexW2045109129MaRDI QIDQ688768

Youngmok Jeon

Publication date: 26 January 1994

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075745

zbMATH Keywords

convergenceDirichlet problemLaplace equationNyström methodEuler-Maclaurin formuladouble layer boundary integral equationgraded mesh method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Integral representations of solutions to PDEs (35C15) 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)

Related Items (13)

A numerical method for the solution of exterior Neumann problems for the Laplace equation in domains with corners ⋮ A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries ⋮ A fast trigonometric collocation method for some elliptic pseudodifferential equations ⋮ A quadrature method for the Cauchy singular integral equations ⋮ Waveguide mode solver based on Neumann-to-Dirichlet operators and boundary integral equations ⋮ Sigmoidal-Nyström for solving an aerofoil equation ⋮ The Cruciform Crack Problem and Sigmoidal Transformations ⋮ A sinc quadrature method for the double-layer integral equation in planar domains with corners ⋮ A discrete collocation method for Symm's integral equation on curves with corners ⋮ Numerical methods for integral equations of Mellin type ⋮ A Nyström method for a boundary integral equation related to the Dirichlet problem on domains with corners ⋮ On the numerical solution of a boundary integral equation for the exterior Neumann problem on domains with corners ⋮ Integral equation methods in inverse obstacle scattering

Cites Work

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• A Nyström method for boundary integral equations in domains with corners
• THE NUMBER OF POINTS ON ELLIPTIC CURVES y²= x³+ Ax AND y²= x³+ B³MOD 24
• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
• Iterative Solution of Linear Systems Arising from the Boundary Integral Method
• The Numerical Solution of Laplace's Equation on a Wedge
• Linear integral equations

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