On one semi-analytical approximation of the normal derivative of the simple layer potential near the boundary of a two-dimensional domain

Publication date: 20 February 2024

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

zbMATH Keywords

uniform convergence boundary element method quadrature formula near singular integral boundary layer effect normal derivative of simple layer potential

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

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A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF A TWO-DIMENSIONAL DOMAIN USING SEMIANALYTIC APPROXIMATION OF THE DOUBLE LAYER HEAT POTENTIAL
A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF DOMAIN IN THE CASE OF TWO-DIMENSIONAL PROBLEMS OF NON-STATIONARY HEAT CONDUCTION WITH BOUNDARY CONDITIONS OF THE SECOND AND THIRD KIND.
On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain

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