Summary: 1
Preconditioning Discrete
Approximations of the
Reissner­Mindlin Plate Model
Douglas N. Arnold 1
, Richard S. Falk 2
and Ragnar
Winther3 4
Abstract. We consider iterative methods for the solution of linear systems of
equations arising from mixed finite element discretization of the Reissner­Mindlin
plate model. We show how to construct symmetric positive definite block diagonal
preconditioners for these indefinite systems such that the resulting systems have
spectral condition numbers independent of both the mesh size h and the plate thickness
t.
1.1 Introduction
The purpose of this paper is to summarize the work of [AFW97]. We consider
iterative methods for the solution of indefinite linear systems of equations arising
from discretizations of the Reissner­Mindlin plate model.
Like the biharmonic plate model, the Reissner­Mindlin model is a two-dimensional
plate model which approximates the behavior of a thin linearly elastic three-

Source: Arnold, Douglas N. - School of Mathematics, University of Minnesota

Collections: Mathematics