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A useful technique for the point Successive Over Relaxation method

✍ Scribed by Fumiaki Goto

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
279 KB
Volume
30
Category
Article
ISSN
0010-4655

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✦ Synopsis

By gradually decreasing the relaxation parameter in the SOR method, it is shown that the number of iterations required for the unknown variables to converge to reasonable values can be reduced. This practical SOR method can also be applied for composite substances with arbitrary geometry. When applying the method to a simple example of a composite substance, the iteration number was reduced by about 20% as compared with the ordinary SOR method using an optimal relaxation parameter.

Notation

Table I Convergence obtained by the SOR method for uniform material, a coefficient defined in eq. (1) after Takada ~5J fi exponent defined in eq. ( 1)

xponent defined in eq. ( 6) 49 18 1.

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