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MMAS
2010
Springer
13 years 8 days 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, ...
MMAS
2010
Springer
13 years 8 days ago
A Nonlinear PDE-Based Method for Sparse Deconvolution
In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that ar...
Yu Mao, Bin Dong, Stanley Osher
MMAS
2010
Springer
13 years 8 days ago
Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates
This paper studies mathematical models of biopolymer supramolecular aggregates that are formed by the self-assembly of single monomers. We develop a new multiscale numerical appro...
Lei Zhang, Leonid Berlyand, Maxim V. Fedorov, Houm...
MMAS
2010
Springer
13 years 8 days ago
Filtering Random Layering Effects in Imaging
Objects that are buried deep in heterogeneous media produce faint echoes which are difficult to distinguish from the backscattered field. Sensor array imaging in such media cannot ...
Liliana Borcea, F. González del Cueto, Geor...
MMAS
2010
Springer
13 years 8 days ago
Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation
The accuracy of atomistic-to-continuum hybrid methods can be guaranteed only for deformations where the lattice configuration is stable for both the atomistic energy and the hybrid...
Matthew Dobson, Mitchell Luskin, Christoph Ortner