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An Efficient High Order Heterogeneous Multiscale Method For Elliptic Problems
Heterogeneous multiscale method H-convergence Least-squares
2012/8/10
We propose an efficient heterogeneous multiscale finite element
method based on a local least-squares reconstruction of the effective matrix
using the data retrieved from the solution of cell proble...
Convergence OF The Heterogeneous Multiscale Finite Element Method For Elliptic Problem With Nonsmooth Microstructures
Finite Element Method Nonsmooth Microstructures
2012/8/10
We propose a condition under which the heterogeneous multiscale 痭ite element
method converges for elliptic problem with nonsmooth coe眂ients, and obtain the optimal
convergence rate for elliptic prob...
Analysis of the Heterogeneous Multiscale Method for Parabolic Homogenization Problems
Analysis the Heterogeneous Multiscale Method Parabolic Homogenization
2012/8/7
The heterogeneous multiscale method (HMM) is applied to various parabolic problems
with multiscale coefficients. These problems can be either linear or nonlinear. Optimal
estimates are proved for th...
Equation-Free Multiscale Computational Analysis of Individual-Based Epidemic Dynamics on Networks
Computational Epidemiology Individual-based models Networks
2010/12/28
The surveillance, analysis and ultimately the efficient long-term prediction and control of epidemic dynamics appear to be one of the major challenges nowadays. Detailed atomistic mathematical models ...
We present an overview of the recent development on numerical methods for elliptic problems with multiscale coecients. We carry out a thorough study of two representative techniques: the heterogeneou...
Analysis of the Heterogeneous Multiscale Method for Elliptic Homogenization Problems
the Heterogeneous Multiscale Method Elliptic Homogenization Problems
2012/7/31
Analysis of the Heterogeneous Multiscale Method for Elliptic Homogenization Problems.