On using a modified Nyström method to solve the 2-D potential problem

DOI10.1216/jiea/1181075742zbMath0780.65070OpenAlexW1988560350MaRDI QIDQ688764

R. S.-C. Cheng

Publication date: 23 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/1181075742

zbMATH Keywords

Dirichlet problemnumerical experimentsLaplace equationexponential convergenceNeumann problemdiscrete Galerkin methodRobin problemsingle-layer potential2-D potential problemdiscrete delta-trigonometric methodmodified Nyström method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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Method of Green's potentials for elliptic PDEs in domains with random apertures

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