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» Preconditioning Stochastic Galerkin Saddle Point Systems
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SIAMMAX
2010
82views more  SIAMMAX 2010»
13 years 1 days ago
Preconditioning Stochastic Galerkin Saddle Point Systems
Catherine Elizabeth Powell, Elisabeth Ullmann
SIAMMAX
2010
116views more  SIAMMAX 2010»
13 years 1 days ago
Acquired Clustering Properties and Solution of Certain Saddle Point Systems
Many mathematical models involve flow equations characterized by nonconstant viscosity, and a Stokes type problem with variable viscosity coefficient arises. Appropriate block diag...
M. A. Olshanskii, V. Simoncini
MOC
2010
13 years 2 days ago
H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data
We study H(div) preconditioning for the saddle-point systems that arise in a stochastic Galerkin mixed formulation of the steady-state diffusion problem with random data. The key i...
Howard C. Elman, Darran G. Furnival, Catherine E. ...
SIAMMAX
2010
156views more  SIAMMAX 2010»
13 years 1 days ago
Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
Optimality systems and their linearizations arising in optimal control of partial differential equations with pointwise control and (regularized) state constraints are considered. ...
Roland Herzog, Ekkehard W. Sachs
SIAMSC
2010
198views more  SIAMSC 2010»
13 years 3 months ago
Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems
In this paper, we describe block matrix algorithms for the iterative solution of large scale linear-quadratic optimal control problems arising from the optimal control of parabolic...
Tarek P. Mathew, Marcus Sarkis, Christian E. Schae...