Authors: Jong Ho Lee


Title: AN OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE REISSNER-MINDLIN PLATE WITH THE FALK-TU ELEMENTS

 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/delta)^3(1 +logH/h)^2. Here H
is the maximum diameter of the
subdomains, delta the size of overlap between subdomains, and h the
element size. Numerical examples
are provided to confirm the theory.