Title: Multigrid methods for parameter dependent problems
Author: Susanne C. Brenner
Published: RAIRO Mathematical Modelling and Numerical Analysis,
v. 30 (1996), 265-297 (MR# 97c:73076)
Abstract: Multigrid methods for parameterdependent problems
are discussed. The contraction numbers of the algorithms are
proved within a unifying framework to be bounded away from one,
independent of the parameter and the mesh levels. Examples
include the pure displacement and pure traction boundary value
problems in planar linear elasticity, the Timoshenko beam problem,
and the Reissner-Mindlin plate problem.
Results presented at:
- Computational Mechanics, Oberwolfach, Germany,
January 31-February 6, 1993
- Sixth Copper Mountain Conference on Multigrid Methods,
Copper Mountain,Colorado, April 4-9, 1993