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Original Articles

The convergence rate of the schwarz alternating procedure (I): For one-dimensional problems

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Pages 157-170 | Received 01 Apr 1986, Published online: 19 Mar 2007

References

  • Schwarz , H. A. and Gordon , H. 1870 . Über einen Grenz bergang durch alternirendes Verfahren, Ges, math. Abhandlungen, Bd. 1 133 – 143 . Berlin
  • Picard , E. 1890 . Mémoire sur la théorie des équations aux dérivées partiells et la methode des approximations successives . J. Math, pures et Appl. , 4 ( 6 ) : 145 – 210 .
  • Soboleff , S. 1936 . L'algorithme de Schwarz dans la theorie de l'elasticité . Comptes rendus (Doklady) de l' académie des Sciences de L'URSS IV(VIII) , 6 ( 110 ) : 243 – 246 .
  • Mikhlin , S. G. 1951 . On the Schwarz Algorithm . DAH CCCP , LXXVII ( 4 ) : 569 – 571 .
  • Li-shan , Kang and Yu-ping , Chen . 1985 . Sun Le-lin and Quan Hui-yun, The asynchronous parallel algorithms S-COR for solving P.D.E.'s on multiprocessors . Intern. J. Computer Math. , 18 ( 4 ) : 163 – 172 .

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