@misc{BraessDeuflhardLipnikov, author = {Braess, Dietrich and Deuflhard, Peter and Lipnikov, Konstantin}, title = {A Subspace Cascadic Multigrid Method for Mortar Elements}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3954}, number = {SC-99-07}, abstract = {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.}, language = {en} } @misc{LipnikovDeuflhard, author = {Lipnikov, Konstantin and Deuflhard, Peter}, title = {Domain Decomposition with Subdomain CCG for Material Jump Elliptic Problems.}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3057}, number = {SC-97-36}, abstract = {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.}, language = {en} } @article{BraessDeuflhardLipnikov2002, author = {Braess, Dietrich and Deuflhard, Peter and Lipnikov, Konstantin}, title = {A Subspace Cascadic Multigrid Method for Mortar Elements}, series = {Computing}, volume = {69}, journal = {Computing}, pages = {205 -- 225}, year = {2002}, language = {en} } @article{DeuflhardLipnikov1998, author = {Deuflhard, Peter and Lipnikov, Konstantin}, title = {Domain decomposition with subdomain CCG for material jump elliptic problems}, series = {East-West J. Numer. Math.}, volume = {6}, journal = {East-West J. Numer. Math.}, number = {2}, pages = {81 -- 100}, year = {1998}, language = {en} }