Domain Decomposition with Subdomain CCG for
Material Jump Elliptic Problems

Konstantin Lipnikov
Institute of Numerical Mathematics
Russian Academy of Sciences
Gubkina st, 8
Moscow 117333

Peter Deuflhard
Konrad-Zuse-Zentrum für Imformationstechnic Berlin
Takstrasse 7
D-14195 Berlin-Dahlem


A combination of the cascadic conjugate gradient (CCG) method for homogeneous problems wih non-overlapping domain decomposition (DD) method is studied. Mortar finite elementson interfaces are applied to permit non-matching grids in neighboring subdomains. For material jump problems, the method is designed as an alternative to the cascadic methods.

Contributed December 1, 1997.