Implementation of a Locally Conservative Numerical Subgrid Upscaling Scheme for Two-Phase Darcy Flow

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

Computing, Computational Engineering, Materials Engineering +17

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

Natural Sciences, Physics, Computational Physics +13

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

Natural Sciences, Physics, Computational Mechanics +14

Two families of mixed finite elements for second order elliptic problems

Franco Brezzi, Jim Douglas, L. D. Marini · Numerische Mathematik · 1985 · 1.3K citations

Computing, Computational Engineering, Computational Mechanics +13

Interpretation of Well-Block Pressures in Numerical Reservoir Simulation With Nonsquare Grid Blocks and Anisotropic Permeability

D.W. Peaceman · Society of Petroleum Engineers Journal · 1983 · 909 citations

Engineering, Earth Sciences, Petroleum Engineering +14