Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations
نویسندگان
چکیده
منابع مشابه
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations
We consider an abstract parameter dependent saddle-point problem and present a general framework for analyzing robust Schur complement preconditioners. The abstract analysis is applied to a generalized Stokes problem, which yields robustness of the Cahouet-Chabard preconditioner. Motivated by models for two-phase incompressible flows we consider a generalized Stokes interface problem. Applicati...
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We examine block-diagonal preconditioners and efficient variants of indefinite preconditioners for block two-by-two generalized saddle-point problems. We consider the general, nonsymmetric, nonsingular case. In particular, the (1,2) block need not equal the transposed (2,1) block. Our preconditioners arise from computationally efficient splittings of the (1,1) block. We provide analyses for the...
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Implicit time stepping procedures for the time dependent Stokes problem lead to stationary singular perturbation problems at each time step. These singular perturbation problems are systems of saddle point type, which formally approach a mixed formulation of the Poisson equation as the time step tends to zero. Preconditioners for discrete analogous of these systems are discussed. The preconditi...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2006
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-006-0031-4