Application of boundary integral equation method to numerical solution of elliptic boundary-value problems in R3

DOI10.15507/2079-6900.22.202003.319-332MaRDI QIDQ6143786

Unnamed Author, Alexander N. Tynda

Publication date: 24 January 2024

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo775

zbMATH Keywords

nonuniform mesheselliptic boundary-value problemsspline-collocation methodapproximation of integralsweakly singular Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Potential operators (47G40)

Cites Work

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• An implicit interface boundary integral method for Poisson's equation on arbitrary domains
• Justification of the collocation method for the integral equation for a mixed boundary value problem for the Helmholtz equation
• Potential-based numerical solution of Dirichlet problems for the Helmholtz equation
• Method of boundary integral equations as applied to the numerical solution of the three-dimensional Dirichlet problem for the laplace equation in a piecewise homogeneous medium

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