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MMAS
2010
Springer
13 years 2 months ago
Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
In this paper, we study domain decomposition preconditioners for multiscale flows in high contrast media. Our problems are motivated by porous media applications where low conduct...
Juan Galvis, Yalchin Efendiev
SIAMMA
2010
66views more  SIAMMA 2010»
13 years 2 months ago
On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth
In this paper we analyze a nonlocal reaction-diffusion model which arises from the modeling of competition of phytoplankton species with incomplete mixing in a water column. The no...
Yihong Du, Sze-Bi Hsu
SIAMMAX
2010
156views more  SIAMMAX 2010»
13 years 2 months 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
132views more  SIAMSC 2010»
13 years 5 months ago
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers
For the finite volume discretization of a second-order elliptic model problem, we derive a posteriori error estimates which take into account an inexact solution of the associated...
Pavel Jiránek, Zdenek Strakos, Martin Vohra...
SIAMSC
2008
134views more  SIAMSC 2008»
13 years 7 months ago
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method
In a recent paper, the authors introduced the recovery method resp. local energy matching principle for solving large systems of lattice equations. The idea is to construct a part...
Ivo Babuska, S. A. Sauter