Title:         Preconditioning discrete approximations of the Reissner-Mindlin
plate model

Authors:       Douglas N. Arnold, Richard S. Falk, and Ragnar Winther

Source:        in: "Ninth International Conference on Domain Decomposition Methods
(Bergen, 1996)" (P. Bjorstad, M. Espedal, and D. Keyes, eds.), DDM.org, 1998, pp. 215-221

Status:        Published

Abstract:  We consider iterative methods for the solution of linear
systems of equations arising from mixed finite element discretization of
the Reissner-Mindlin 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.

Keywords:      preconditioner, Reissner, Mindlin, plate, finite element

Subj. class.:  65N30, 65N22, 65F10, 73V05

URL:           http://ima.umn.edu/~arnold/papers/prermdd9.pdf