Additive Schwarz algorithms for parabolic convection-diffusion equations.
An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems
This paper extends previous results on nonlinear Schwarz preconditioning (Cai and Keyes 2002) to unstructured finite element elliptic problems exploiting now nonlocal (but small) subspaces. The nonlocal finite element subspaces are associated with subdomains obtained from a non-overlapping element partitioning of the original set of elements and are coarse outside the prescribed element subdomain. The coarsening is based on a modification of the agglomeration based AMGe method proposed in Jones...
Parallel fully coupled Schwarz preconditioners for saddle point problems.
Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation.
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