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Balancing domain decomposition for nonconforming plate elements

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Summary.

In this paper the balancing domain decomposition method is extended to nonconforming plate elements. The condition number of the preconditioned system is shown to be bounded by \(C\big[1+\ln(H/h)\big]^2\), where H measures the diameters of the subdomains, h is the mesh size of the triangulation, and the constant C is independent of H, h and the number of subdomains.

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Authors and Affiliations

  1. Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA; e-mail: brenner@math.sc.edu , , , , , , US

    Susanne C. Brenner

  2. Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA; e-mail: sung@math.sc.edu , , , , , , US

    Li-yeng Sung

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  1. Susanne C. Brenner
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  2. Li-yeng Sung
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Received August 14, 1997

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Brenner, S., Sung, Ly. Balancing domain decomposition for nonconforming plate elements. Numer. Math. 83, 25–52 (1999). https://doi.org/10.1007/s002110050438

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  • DOI: https://doi.org/10.1007/s002110050438

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