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MOC
2011
13 years 4 months ago
Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra
Abstract. We prove optimal order error estimates for the Raviart-Thomas interpolation of arbitrary order under the maximum angle condition for triangles and under two generalizatio...
Gabriel Acosta, Thomas Apel, Ricardo G. Durá...
SIAMDM
2011
13 years 4 months ago
Origins of Nonlinearity in Davenport-Schinzel Sequences
Abstract. A generalized Davenport–Schinzel sequence is one over a finite alphabet that excludes subsequences isomorphic to a fixed forbidden subsequence. The fundamental proble...
Seth Pettie
SIAMIS
2011
13 years 4 months ago
Gradient-Based Methods for Sparse Recovery
The convergence rate is analyzed for the sparse reconstruction by separable approximation (SpaRSA) algorithm for minimizing a sum f(x) + ψ(x), where f is smooth and ψ is convex, ...
William W. Hager, Dzung T. Phan, Hongchao Zhang
SIAMJO
2011
13 years 4 months ago
A Unifying Polyhedral Approximation Framework for Convex Optimization
Abstract. We propose a unifying framework for polyhedral approximation in convex optimization. It subsumes classical methods, such as cutting plane and simplicial decomposition, bu...
Dimitri P. Bertsekas, Huizhen Yu
MMAS
2010
Springer
13 years 4 months ago
Roughness-Induced Effect at Main Order on the Reynolds Approximation
Usually the Stokes equations that govern a flow in a smooth thin domain (with thickness of order ) are related to the Reynolds equation for the pressure psmooth. In this paper, we...
Didier Bresch, Catherine Choquet, Laurent Chupin, ...