Uniform Wellposedness of a Mixed Formulation of Symmetric Problems with Rough Coefficients with Application to Highly Nonhomogeneous Linear Elasticity

Andrew Knyazev
aknyazev@math.cudenver.edu
http://www-math.cudenver.edu/~aknyazev
Department of Mathematics, University of Colorado at Denver
P.O. Box 173364, Campus Box 170, Denver, CO 80217-3364


Abstract

We prove that a standard mixed formulation of symmetric problems with large jumps in coefficients is uniformly wellposed in a standard norm, independent of the jumps, under some natural assumptions. As an application, we consider a Hellinger-Reissner formulation of nonhomogeneous Lame equations for media with (almost) rigid inclusions. The (almost) incompressible case is covered as well.