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MMAS
2010
Springer
13 years 12 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
MMAS
2010
Springer
13 years 12 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 12 days ago
A Novel Method for Solving Multiscale Elliptic Problems with Randomly Perturbed Data
We propose a method for efficient solution of elliptic problems with multiscale features and randomly perturbed coefficients. We use the multiscale finite element method (MsFEM) as...
Victor Ginting, Axel Målqvist, Michael Presh...
MMAS
2010
Springer
13 years 12 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 12 days ago
A Fast Multigrid Algorithm for Energy Minimization under Planar Density Constraints
The two-dimensional layout optimization problem reinforced by the efficient space utilization demand has a wide spectrum of practical applications. Formulating the problem as a non...
Dorit Ron, Ilya Safro, Achi Brandt
MMAS
2010
Springer
13 years 12 days ago
Simplified Modelling of a Thermal Bath, with Application to a Fluid Vortex System
Based on the thermodynamic concept of a reservoir, we investigate a computational model for interaction with unresolved degrees of freedom (a thermal bath). We assume that a finite...
Svetlana Dubinkina, Jason Frank, Ben Leimkuhler
MMAS
2010
Springer
13 years 12 days ago
On the Stochastic Modeling of Rigid Body Systems with Application to Polymer Dynamics
The stochastic equations of motion for a system of interacting rigid bodies in a solvent are formulated and studied. Three-dimensional bodies of arbitrary shape, with arbitrary cou...
J. Walter, O. Gonzalez, J. H. Maddocks
MMAS
2010
Springer
13 years 12 days ago
Enhancement of Electromagnetic Fields Caused by Interacting Subwavelength Cavities
This article is devoted to the asymptotic analysis of the electromagnetic fields scattered by a perfectly conducting plane containing two sub-wavelength rectangular cavities. The p...
Jean-François Babadjian, Eric Bonnetier, Fa...
MMAS
2010
Springer
13 years 12 days ago
Gyrokinetic Vlasov Equation in Three Dimensional Setting. Second Order Approximation
One of the main applications in plasma physics concerns the energy production through thermo-nuclear fusion. The controlled fusion requires the confinement of the plasma into a bo...
Mihai Bostan