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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 nonmatching grids in neighboring subdomains. For material jump problems, the method is designed as an alternative to the cascadic methods. 1 (Update)
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BibTeX entry: (Update)
@misc{ lipnikov-domain,
author = "Konstantin Lipnikov and Peter Deuflhard",
title = "Domain Decomposition with Subdomain CCG for Material Jump Elliptic Problems",
url = "citeseer.ist.psu.edu/560711.html" }
Citations (may not include all citations):408 Multigrid Methods and Applications (context) - Hackbusch - 1985
230 Iterative methods by space decomposition and subspace correc.. (context) - Xu - 1992
220 Parallel multilevel preconditioners (context) - Bramble, Pasciak et al. - 1990
135 A flexible inner-outer preconditioned GMRES algorithm - Saad - 1993
89 A new nonconforming approach to domain decomposition: the mo.. (context) - Bernardi, Maday et al. - 1989
60 Concepts of an adaptive hierarchical finite element code (context) - Deuflhard, Leinen et al. - 1989
48 The mortar finite element method with Lagrange multipliers (context) - Belgacem - 1995
38 Two preconditioners based on the multi-level splitting of fi.. (context) - Yserentant - 1990
32 mortar element method (context) - Achdou, Kuznetsov et al. - 1995
22 A black box generalized conjugate gradient solver with inner.. (context) - Axelsson, Vassilevski - 1991
21 The cascadic multigrid method for elliptic problems (context) - Bornemann, Deuflhard - 1996
15 Numerical Methods for Grid Equations (context) - Samarskii, Nikolaev - 1989
11 Cascadic conjugate gradient methods for elliptic partial di#.. - Deuflhard - 1994
10 Three-dimensional domain decomposition methods with non-matc.. (context) - Le Tallec, Sassi et al. - 1994
6 Two iterative methods for solving the Stokes problem - Iliash, Rossi et al. - 1993
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