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Volume 3, Issue 3
Approximation of Boundary Conditions at Infinity for a Harmonic Equation

De-Hao Yu

J. Comp. Math., 3 (1985), pp. 219-227.

Published online: 1985-03

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  • Abstract

Starting from the canonical boundary reduction, this paper studies an approximate differential boundary condition and an approximate integral boundary condition on an artificial boundary for the exterior problem of a harmonic equation, and gives an error estimate for the latter. This estimate reveals the relationship between the error and the approximate grade boundary conditions as well as the radius of the artificial boundary.

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@Article{JCM-3-219, author = {De-Hao Yu}, title = {Approximation of Boundary Conditions at Infinity for a Harmonic Equation}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {3}, pages = {219--227}, abstract = {

Starting from the canonical boundary reduction, this paper studies an approximate differential boundary condition and an approximate integral boundary condition on an artificial boundary for the exterior problem of a harmonic equation, and gives an error estimate for the latter. This estimate reveals the relationship between the error and the approximate grade boundary conditions as well as the radius of the artificial boundary.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9619.html} }
TY - JOUR T1 - Approximation of Boundary Conditions at Infinity for a Harmonic Equation AU - De-Hao Yu JO - Journal of Computational Mathematics VL - 3 SP - 219 EP - 227 PY - 1985 DA - 1985/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9619.html KW - AB -

Starting from the canonical boundary reduction, this paper studies an approximate differential boundary condition and an approximate integral boundary condition on an artificial boundary for the exterior problem of a harmonic equation, and gives an error estimate for the latter. This estimate reveals the relationship between the error and the approximate grade boundary conditions as well as the radius of the artificial boundary.

De-Hao Yu. (1985). Approximation of Boundary Conditions at Infinity for a Harmonic Equation. Journal of Computational Mathematics. 3 (3). 219-227. doi:
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