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

DOI10.1134/S0965542509070070zbMath1224.35078OpenAlexW2103809925MaRDI QIDQ2995703

E. V. Zakharov, A. V. Kalinin

Publication date: 4 May 2011

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542509070070

zbMATH Keywords

method of boundary integral equationspiecewise homogeneous mediumDirichlet problem for the Laplace equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

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A method to compute the electric field vector on the surface of the cardiac muscle ⋮ Application of boundary integral equation method to numerical solution of elliptic boundary-value problems in R3 ⋮ Numerical solution of the three-dimensional Dirichlet problem for inhomogeneous media by the method of integral equations ⋮ Iterative algorithm for the inverse problem of electrocardiography in a medium with piecewise-constant electrical conductivity ⋮ Numerical solution of the localized inverse problem of electrocardiography ⋮ Numerical methods for some inverse problems of heart electrophysiology ⋮ Investigating the solvability of the three-dimensional Neumann problem for the Poisson equation in piecewise-homogeneous conducting media

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