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A two-level additive Schwarz preconditioner for nonconforming plate elements

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Summary.

A two-level additive Schwarz preconditioner is developed for the systems resulting from the discretizations of the plate bending problem by the Morley finite element, the Fraeijs de Veubeke finite element, the Zienkiewicz finite element and the Adini finite element. The condition numbers of the preconditioned systems are shown to be bounded independent of mesh sizes and the number of subdomains in the case of a generous overlap.

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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

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  1. Susanne C. Brenner
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Received February 1, 1994 / Revised version received October 24, 1994

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Brenner, S. A two-level additive Schwarz preconditioner for nonconforming plate elements . Numer. Math. 72, 419–447 (1996). https://doi.org/10.1007/s002110050176

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  • DOI: https://doi.org/10.1007/s002110050176

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