The asymptotic form of solutions of integral equations of potential theory in the neighbourhood of the corner points of a contour

DOI10.1016/0021-8928(84)90122-9zbMath0573.45002OpenAlexW2080949570MaRDI QIDQ1063202

S. S. Zargaryan, Vladimir Gilelevich Maz'ya

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90122-9

zbMATH Keywords

harmonic functions logarithmic potential asymptotic form corner points of contour external Dirichlet problem external Neumann problem internal Dirichlet problem internal Neumann problem

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (9)

On the solution of elliptic partial differential equations on regions with corners ⋮ A High-Order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains ⋮ A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations ⋮ Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners ⋮ On the solution of the Helmholtz equation on regions with corners ⋮ On the solution of elliptic partial differential equations on regions with corners. II: Detailed analysis ⋮ A Nyström-based finite element method on polygonal elements ⋮ Numerical solution of boundary integral equations on curvilinear polygons ⋮ On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains

Cites Work

This page was built for publication: The asymptotic form of solutions of integral equations of potential theory in the neighbourhood of the corner points of a contour