Constraint Energy Minimizing Generalized Multiscale Finite Element Method

A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media

Thomas Y. Hou, Xiaohui Wu · Journal of Computational Physics · 1997 · 1.9K citations

Numerical Analysis, Finite Element Method, Method Of Fundamental Solution +12

Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1995 · 1.8K citations · Full text

Numerical Analysis, Engineering, Physics +15

The variational multiscale method—a paradigm for computational mechanics

Thomas J.R. Hughes, Gonzalo R. Feijóo, Luca Mazzei et al. · Computer Methods in Applied Mechanics and Engineering · 1998 · 1.6K citations · Full text

Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows

Yuri Bazilevs, Victor M. Calo, J. Austin Cottrell et al. · Computer Methods in Applied Mechanics and Engineering · 2007 · 1K citations

Numerical Analysis, Engineering, Incompressible Flow +10

The Heterognous Multiscale Methods

E Weinan, Björn Engquist · Communications in Mathematical Sciences · 2003 · 954 citations · Full text

Numerical Analysis, Multiscale Analysis, Heterognous Multiscale Methods +3