Numerical solution of the three-dimensional Dirichlet problem for inhomogeneous media by the method of integral equations

DOI10.1134/S0012266113090115zbMath1282.65163OpenAlexW2068773551MaRDI QIDQ2434666

A. V. Kalinin, E. V. Zakharov

Publication date: 6 February 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113090115

zbMATH Keywords

algorithmconvergencenumerical exampleDirichlet problemFredholm integral equationmethod of integral equationsequation of elliptic type

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38)

Uses Software

• SfePy

Cites Work

• Unnamed Item
• Two different approaches for transforming domain integrals to the boundary
• 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
• Numerical solution of an inverse electrocardiography problem for a medium with piecewise constant electrical conductivity
• Radial Basis Functions

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