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SIAMSC
2010
108views more  SIAMSC 2010»
15 years 4 months ago
Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Shape-Linearization Approach
Abstract. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems via shape-linearization principles. To derive an appro...
K. G. van der Zee, E. H. van Brummelen, R. de Bors...
SIAMSC
2010
165views more  SIAMSC 2010»
15 years 4 months ago
Algebraic Multigrid for Markov Chains
Abstract. An algebraic multigrid (AMG) method is presented for the calculation of the stationary probability vector of an irreducible Markov chain. The method is based on standard ...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
SIAMSC
2010
157views more  SIAMSC 2010»
15 years 4 months ago
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
We propose certified reduced basis methods for the efficient and reliable evaluation of a general output that is implicitly connected to a given parameterized input through the ha...
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jer&oac...
SIAMSC
2010
111views more  SIAMSC 2010»
15 years 4 months ago
Operator-Based Preconditioning of Stiff Hyperbolic Systems
Abstract. We introduce an operator-based scheme for preconditioning stiff components encountered in implicit methods for hyperbolic systems of PDEs posed on regular grids. The met...
Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodwa...
SIAMSC
2010
141views more  SIAMSC 2010»
15 years 4 months ago
Blendenpik: Supercharging LAPACK's Least-Squares Solver
Abstract. Several innovative random-sampling and random-mixing techniques for solving problems in linear algebra have been proposed in the last decade, but they have not yet made a...
Haim Avron, Petar Maymounkov, Sivan Toledo