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代用電荷法における誤差の性質について
ON THE PROPERTIES OF THE ERROR IN THE CHARGE SIMULATION METHOD
村島, 定行
MURASHIMA, Sadayuki
加藤, 三三男
KATO, Misao
宮近, 詠史
MIYACHIKA, Eiji
540
Ignoring the round-off error, the error in the charge simulation method is harmonic, i.e., the
error is the solution of Laplace's equation. The utilization of the above fact is discussed under the
purpose of error estimation. Using the result of potential theory, several important properties of the
error are enumerated.
For example, 1) the point at which the error is maximum appears on the boundary, 2) the error
of the derivative of the solution along an arbitrary direction is also harmonics and ③ the error is
solenoidal and irrotational.
Numerical experiments are consistent with above properties.
It is concluded that for the absolute error estimation the checking of the error only on the boundary
is necessary and sufficient. It is pointed out that the easiness and certainty of the error estimations
should be emphasized in the charge simulation method.
departmental bulletin paper
鹿児島大学
Kagoshima University
1976-12
VoR
application/pdf
鹿児島大学工学部研究報告
18
115
121
The research reports of the Faculty of Engineering, Kagoshima University
0451212X
AN00040363
https://ir.kagoshima-u.ac.jp/record/10730/files/AN00040363_v18_p115-121.pdf
jpn