High-order local artificial boundary conditions for problems in unbounded domains

DOI10.1016/S0045-7825(99)00188-7zbMath0957.65096OpenAlexW2119673375MaRDI QIDQ1579612

Houde Han, Weizhu Bao

Publication date: 14 September 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00188-7

zbMATH Keywords

error estimatesfinite elementunbounded domainPoisson equationHelmholtz equationsartificial boundary conditions

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method
• High-order boundary conditions and finite elements for infinite domains
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• Artificial Boundary Conditions for Incompressible Viscous Flows
• A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
• The Approximation of the Exact Boundary Conditions at an Artificial Boundary for Linear Elastic Equations and its Application
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders
• AN ARTIFICIAL BOUNDARY CONDITION FOR TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOWS USING THE METHOD OF LINES
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