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A Schwarz alternating procedure using spline collocation methods

✍ Scribed by Elizabeth Greenwell Yanik

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
407 KB
Volume
28
Category
Article
ISSN
0029-5981

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✦ Synopsis

A collocation method is described which obtains an approximate solution to Poisson's equation, Au =J on an L shaped region. The L shaped region is viewed as the union of two overlapping rectangles. The Schwarz alternating procedure may be employed to reduce the problem to one in which collocation techniques are used on each rectangle. The convergence of the alternating scheme depends upon a discrete maximum principle for collocation methods. Several sample problems are presented to illustrate the order of convergence of this method and to compare it with several existing numerical methods for the L shaped region.

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