A method for solving an exterior three-dimensional boundary value problem for the Laplace equation

DOI10.1134/S1990478916020125zbMath1349.65633MaRDI QIDQ3186928

A. O. Savchenko, V. P. Il'in, Dmitrii S. Butyugin

Publication date: 12 August 2016

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergencefinite element methodnumerical experimentsintegral representationboundary value problemsLaplace equationSchwarz alternating methodinteriorexterior boundary value problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Solving exterior boundary value problems for the Laplace equation, Fast Finite Element Method for the Three-Dimensional Poisson Equation in Infinite Domains, A Method for Solving an Exterior Boundary Value Problem for the Laplace Equation by Overlapping Domain Decomposition, On the solution of a mixed type equation in an unbounded domain

Uses Software

• FEniCS
• Netgen

Cites Work

• Automated solution of differential equations by the finite element method. The FEniCS book
• The method of fundamental solutions for elliptic boundary value problems
• NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
• Boundary element collocation method for solving the exterior Neumann problem for Helmholtz's equation in three dimensions
• Finite Element Methods for Navier-Stokes Equations
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