An Overlapping Domain Decomposition Method for the Reissner-mindlin Plate with the Falk-tu Elements
نویسنده
چکیده
Abstract. The Reissner-Mindlin plate theory models a thin plate with thickness t. The condition numbers of finite element approximations of this model deteriorate badly as the thickness t of the plate converges to 0. In this paper, we develop an overlapping domain decomposition method for the Reissner-Mindlin plate model discretized by the Falk-Tu elements with the convergence rate which does not deteriorate when t converges to 0. It is shown that the condition number of this overlapping method is bounded by C(1 + H δ )(1 + log h ). Here H is the maximum diameter of the subdomains, δ the size of overlap between subdomains, and h the element size. Numerical examples are provided to confirm the theory.
منابع مشابه
Domain Decomposition Methods for Reissner-Mindlin Plates discretized with the Falk-Tu Elements
The Reissner-Mindlin plate theory models a thin plate with thickness t. The condition number of finite element approximations of this model deteriorates badly as the thickness t of the plate converges to 0. In this thesis, we develop an overlapping domain decomposition method for the Reissner-Mindlin plate model discretized by Falk-Tu elements with a convergence rate which does not deteriorate ...
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