Numerically derived boundary conditions on artificial boundaries

DOI10.1016/0377-0427(93)E0261-JzbMath0832.65129MaRDI QIDQ1894379

A. S. Deakin, John R. Dryden

Publication date: 24 July 1995

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

zbMATH Keywords

finite elementsseries expansionunbounded domainsLaplace equationnonlocal boundary conditionartificial boundaryHelmholtz' equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Method of contraction of the boundary for boundary value problems involving PDEs (65N45)

Related Items (3)

Discrete Dirichlet-to-Neumann maps for unbounded domains ⋮ Nonreflecting boundary condition for the Helmholtz equation ⋮ Optimal local non-reflecting boundary conditions

Cites Work

• Exact non-reflecting boundary conditions
• A finite element method for exterior interface problems
• Variational methods for underwater acoustic problems
• A finite element method for large domains
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
• Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders
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