Method of boundary integral equations with hypersingular integrals in boundary-value problems

DOI10.1007/s10958-021-05475-3zbMath1475.30093OpenAlexW3187294741WikidataQ114225220 ScholiaQ114225220MaRDI QIDQ2044846

Alexey V. Setukha

Publication date: 10 August 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05475-3

zbMATH Keywords

numerical methodsboundary integral equationboundary-value problemhypersingular integral

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Boundary element methods for boundary value problems involving PDEs (65N38) Singular integral equations (45E99)

Related Items

Existence of hypersingular integrals with a power singularity of arbitrary integer order, Modification of the discrete singularity method for nonuniform grids as applied to one-dimensional integral equations with a strong singularity in the kernel

Cites Work

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• On the convergence of a numerical method for a hypersingular integral equation on a closed surface
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• The three-dimensional Neumann problem with generalized boundary conditions and the Prandtl equation
• Construction of fundamental solutions of the Neumann boundary value problem in a domain outside an open plane surface
• On the numerical solution of a complete two-dimensional hypersingular integral equation by the method of discrete singularities