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106
Voted
MMAS
2015
Springer
9 years 11 months ago
Reduced Basis Multiscale Finite Element Methods for Elliptic Problems
In this paper, we propose reduced basis multiscale finite element methods (RB-MsFEM) for elliptic problems with highly oscillating coefficients. The method is based on multiscale ...
Jan S. Hesthaven, Shun Zhang, Xueyu Zhu
184
Voted
MMAS
2015
Springer
9 years 11 months ago
A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients
In this paper, we propose a multiscale data-driven stochastic method (MsDSM) to study stochastic partial differential equations (SPDEs) in the multiquery setting. This method comb...
Zhiwen Zhang, Maolin Ci, Thomas Y. Hou
122
Voted
MMAS
2015
Springer
9 years 11 months ago
On the Eulerian Large Eddy Simulation of Disperse Phase Flows: An Asymptotic Preserving Scheme for Small Stokes Number Flows
In the present work, the Eulerian Large Eddy Simulation of dilute disperse phase flows is investigated. By highlighting the main advantages and drawbacks of the available approac...
Christophe Chalons, Marc Massot, Aymeric Vié...
114
Voted
MMAS
2015
Springer
9 years 11 months ago
Sparsifying Preconditioner for the Lippmann-Schwinger Equation
Abstract. The Lippmann–Schwinger equation is an integral equation formulation for acoustic and electromagnetic scattering from an inhomogeneous medium and quantum scattering from...
Lexing Ying
105
Voted
MMAS
2015
Springer
9 years 11 months ago
A Multiband Semiclassical Model for Surface Hopping Quantum Dynamics
In the paper we derive a semiclassical model for surface hopping allowing quantum dynamical nonadiabatic transition between different potential energy surfaces in which cases the ...
Lihui Chai, Shi Jin, Qin Li, Omar Morandi