Preconditioning of discontinuous Galerkin approximations of elliptic problems with jumps in the coefficients

Dr. Ivan Georgiev

Dec. 4, 2012, 3:30 p.m. S2 059

We consider interior penalty discontinuous Galerkin discretizations of scalar elliptic problems with highly varying coefficients.
Two-level method based on additive approximation of the Schur complement will be presented. We will show numerically the stable behavior of the condition number with respect to the coefficient jumps and the problem size.