TY - GEN A1 - Braess, Dietrich A1 - Deuflhard, Peter A1 - Lipnikov, Konstantin T1 - A Subspace Cascadic Multigrid Method for Mortar Elements N2 - A cascadic multigrid (CMG) method for elliptic problems with strong material jumps is proposed and analyzed. Non--matching grids at interfaces between subdomains are allowed and treated by mortar elements. The arising saddle point problems are solved by a subspace confined conjugate gradient method as smoother for the CMG. Details of algorithmic realization including adaptivity are elaborated. Numerical results illustrate the efficiency of this CMG algorithm. T3 - ZIB-Report - SC-99-07 KW - Finite Elements KW - Rayleigh-Ritz and Galerkin Methods KW - Multigrid Methods KW - Domain Decomposition Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3954 ER - TY - GEN A1 - Lipnikov, Konstantin A1 - Deuflhard, Peter T1 - Domain Decomposition with Subdomain CCG for Material Jump Elliptic Problems. N2 - A combination of the cascadic conjugate gradient (CCG) method for homogeneous problems with a non-overlapping domain decomposition (DD) method is studied. Mortar finite elements on 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. T3 - ZIB-Report - SC-97-36 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3057 ER - TY - JOUR A1 - Braess, Dietrich A1 - Deuflhard, Peter A1 - Lipnikov, Konstantin T1 - A Subspace Cascadic Multigrid Method for Mortar Elements JF - Computing Y1 - 2002 VL - 69 SP - 205 EP - 225 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Lipnikov, Konstantin T1 - Domain decomposition with subdomain CCG for material jump elliptic problems JF - East-West J. Numer. Math. Y1 - 1998 VL - 6 IS - 2 SP - 81 EP - 100 ER -