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International Journal of Computer Mathematics Volume 20, 1986 - Issue 2
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Original Articles

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

D. J. Evans Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire, LE11 3TU, U.K
,
Kang Li-Shan Department of Mathematics, Wuhan University, China
,
Shao Jian-Ping Department of Mathematics, Wuhan University, China
&
Chen Yu-Ping Department of Mathematics, Wuhan University, China
Pages 157-170 | Received 01 Apr 1986, Published online: 19 Mar 2007

Citations (15)

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R. GUIVARCH, P. SPITERI, H. C. BOISSON & J. C. MIELLOU. (1997) SCHWARZ ALTERNATING PARALLEL ALGORITHM APPLIED TO INCOMPRESSIBLE FLOW COMPUTATION IN VORTICITY STREAM FUNCTION FORMULATION. Parallel Algorithms and Applications 11:3-4, pages 205-225.
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Qiming He & Lishan Kang. (1996) Schwarz algorithm for nonlinear generalized schrödinger systems — complete discrete problem . International Journal of Computer Mathematics 59:3-4, pages 209-225.
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C. B. Liem, T. M. Shih & T. Lu. (1994) Estimation of the convergence rate of schwarz alternating method and an accelerated algorithm. International Journal of Computer Mathematics 53:1-2, pages 99-112.
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Kang Li-Shan & D. J. Evans. (1990) Strategies of domain decomposition for the design of parallel algorithms. International Journal of Computer Mathematics 32:1-2, pages 123-136.
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Liu Yu-Hui, Kang Li-Shan & D.J. Evans. (1989) The convergence rate of the schwarz alternating procedure (VII): for the sums of two disks and two spheres. International Journal of Computer Mathematics 27:1, pages 55-65.
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Shao Jian-Ping, Kang Li-Shan, Chen Yu-Ping & D.J Evans. (1988) The convergence rate of the schwarz alternating procedure (VI)—for unsymmetric problems. International Journal of Computer Mathematics 25:2, pages 139-152.
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Kang Li-Shan & D. J. Evans. (1988) The convergence rate of the schwarz alternating procedure (v)—for more than two subdomains. International Journal of Computer Mathematics 23:3-4, pages 295-313.
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D.J. Evans, Kang Li-Shan, Chen Yu-Ping & Shao Jian-Ping. (1987) The convergence rate of the schwarz alternating procedure (iv): with pseudo-boundary relaxation factor. International Journal of Computer Mathematics 21:2, pages 185-203.
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Kang Li-Shan & D. J. Evans. (1987) The convergence rate of the schwarz alternating procedure (iii)—for neumann problems. International Journal of Computer Mathematics 21:1, pages 85-108.
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D.J. Evans, Shao Jian-Ping, Kang Li-Shan & Chen Yu-Ping. (1986) The convergence rate of the schwarz alternating procedure (II)—for two-dimensional problems. International Journal of Computer Mathematics 20:3-4, pages 325-339.
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Articles from other publishers (5)

Alejandro Mota, Irina Tezaur & Coleman Alleman. (2017) The Schwarz alternating method in solid mechanics. Computer Methods in Applied Mechanics and Engineering 319, pages 19-51.
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Li Yan, Kang Li-shan, Chen Yu-ping, Liu Pu, Cao Hong-qing & Pan Zheng-jun. (2002) Some massively parallel algorithms from nature. Wuhan University Journal of Natural Sciences 7:1, pages 37-46.
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Guangming Lin, Lishan Kang, Yuping Chen & Iain Macleod. (1996) A combined technique for solution of PDE's via the generalized domain decomposition method. Wuhan University Journal of Natural Sciences 1:3-4, pages 668-674.
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Lishan Kang & Rodrigue Garry. (1990) DOMAIN DECOMPOSITION METHODS FOR SOLVING PDE's ON MULTI-PROCESSORS. Acta Mathematica Scientia 10:4, pages 459-470.
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Li-shan Kang. 1987. Numerical Methods for Partial Differential Equations. Numerical Methods for Partial Differential Equations 61 75 .

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