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MMAS
2015
Springer
4 years 7 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
MMAS
2015
Springer
4 years 7 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
MMAS
2015
Springer
4 years 7 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...
MMAS
2015
Springer
4 years 7 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
MMAS
2015
Springer
4 years 7 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
MMAS
2015
Springer
4 years 7 months ago
A Multiscale Butterfly Algorithm for Multidimensional Fourier Integral Operators
This paper presents an efficient multiscale butterfly algorithm for computing Fourier integral operators (FIOs) of the form (Lf)(x) = Rd a(x, ξ)e2πıΦ(x,ξ)f(ξ)dξ, where Φ(x...
Yingzhou Li, Haizhao Yang, Lexing Ying
MMAS
2015
Springer
4 years 7 months ago
Sparsifying Preconditioner for Pseudospectral Approximations of Indefinite Systems on Periodic Structures
Abstract. This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequenc...
Lexing Ying
MMAS
2015
Springer
4 years 7 months ago
Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk
We compute the mean first passage time (MFPT) for a Brownian particle inside a two-dimensional disk with reflective boundaries and a small interior trap that is rotating at a con...
J. C. Tzou, Theodore Kolokolnikov
MMAS
2015
Springer
4 years 7 months ago
Multiscale Methods for Data Assimilation in Turbulent Systems
Data assimilation of turbulent signals is an important challenging problem because of the extremely complicated large dimension of the signals and incomplete partial noisy observat...
Yoonsang Lee, Andrew J. Majda
MMAS
2015
Springer
4 years 7 months ago
Butterfly Factorization
The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be construct...
Yingzhou Li, Haizhao Yang, Eileen R. Martin, Kenne...
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