The global element method applied to a harmonic mixed boundary value problem

The global element method applied to a harmonic mixed boundary value problem

We demonstrate the use of the recently developed Global Element Method (Delves and Hall, J. Inst. Math. Appl. 23 (1979), 223–234) by applying it to the two dimensional singular boundary value problem introduced by Motz [ Quart. Appl. Math. 4 (1946), 371–377.] The results obtained converge extremely...

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Veröffentlicht in:Journal of computational physics 1979-01, Vol.33 (1), p.33-44
Hauptverfasser: Hendry, J.A, Delves, L.M
Format: Artikel
Sprache:eng
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Zusammenfassung:We demonstrate the use of the recently developed Global Element Method (Delves and Hall, J. Inst. Math. Appl. 23 (1979), 223–234) by applying it to the two dimensional singular boundary value problem introduced by Motz [ Quart. Appl. Math. 4 (1946), 371–377.] The results obtained converge extremely rapidly even in the neighborhood of the singularity and suggest that the method is capable of efficiently handling singular problems.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(79)90026-3