Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions

Houde Han; Changhong He; Xiaonan Wu

doi:10.1007/s002110000143

Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions

Houde Han
, Changhong He
, Xiaonan Wu^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

14 Citations (Scopus)

Abstract

Simple boundary conditions on an artificial boundary are discussed, then an exact boundary condition on the artificial boundary is obtained. Approximation to this boundary condition with high accuracy is given, and the error estimates are obtained. A numerical example is presented, and the numerical results are compared with the exact solution.

Original language	English
Pages (from-to)	367-386
Number of pages	20
Journal	Numerische Mathematik
Volume	85
Issue number	3
DOIs	https://doi.org/10.1007/s002110000143
Publication status	Published - May 2000

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title = "Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions",

abstract = "Simple boundary conditions on an artificial boundary are discussed, then an exact boundary condition on the artificial boundary is obtained. Approximation to this boundary condition with high accuracy is given, and the error estimates are obtained. A numerical example is presented, and the numerical results are compared with the exact solution.",

author = "Houde Han and Changhong He and Xiaonan Wu",

year = "2000",

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AU - He, Changhong

AU - Wu, Xiaonan

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N2 - Simple boundary conditions on an artificial boundary are discussed, then an exact boundary condition on the artificial boundary is obtained. Approximation to this boundary condition with high accuracy is given, and the error estimates are obtained. A numerical example is presented, and the numerical results are compared with the exact solution.

AB - Simple boundary conditions on an artificial boundary are discussed, then an exact boundary condition on the artificial boundary is obtained. Approximation to this boundary condition with high accuracy is given, and the error estimates are obtained. A numerical example is presented, and the numerical results are compared with the exact solution.

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DO - 10.1007/s002110000143

M3 - Journal article

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JO - Numerische Mathematik

JF - Numerische Mathematik

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Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions

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