Solving exterior boundary value problems for the Laplace equation

DOI10.1134/S0012266120070083zbMath1455.65225OpenAlexW3047895140MaRDI QIDQ2196177

D. L. Sorokin, M. P. Galanin

Publication date: 28 August 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266120070083

zbMATH Keywords

Laplace equationartificial integral boundary conditionintegral Green formula

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Integro-partial differential equations (35R09) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (1)

On the solution of a mixed type equation in an unbounded domain

Uses Software

• NGSolve

Cites Work

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• The transfer of boundary conditions across a vacuum in axisymmetric problems
• Development and application of numerical methods for equations of mixed type in an unbounded domain
• A method for solving an exterior three-dimensional boundary value problem for the Laplace equation
• A novel boundary infinite element

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