An Efficient Iterative Method for Stokes equations and Lame equations for
      nearly incompressible media with highly discontinuous coefficients

             N. S. Bakhvalov, A. V. Knyazev and R. R. Parashkevov
                               December 1, 1997
                    URN = ncstrl.cudenver_ccm/UCD-CCM-120
http://cs-tr.cs.cornell.edu:80/Dienst/UI/1.0/Display/ncstrl.cudenver_ccm/UCD-CCM-120

Abstract:  We consider an efficient iterative solution technique for the
isotropic linear elasticity (Lam\'{e}) equations for nearly incompressible
media and Stokes equations with highly discontinuous coefficients.  The
iterative method involves a special choice for an initial guess and a
preconditioner based on solving a constant coefficient problem.  For
simplicity, we only analyze a periodic boundary value problem.  Some other
standard boundary value problems can be treated similarly, or can be reduced
to the periodic case by using the fictitious domain method.  For the Lam\'{e}
equations, we also discuss the case of absolutely compressible media.