A posteriori error estimation based on numerical realization of the variational multiscale method

A posteriori error estimation in finite element analysis

Mark Ainsworth, J. Tinsley Oden · Computer Methods in Applied Mechanics and Engineering · 1997 · 2.2K citations

Computing, Computational Engineering, Computational Mechanics +13

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

Error Estimates for Adaptive Finite Element Computations

I. Babuvška, Werner C. Rheinboldt · SIAM Journal on Numerical Analysis · 1978 · 1.5K citations

Computing, Computational Engineering, Computer Science +17

An optimal control approach to <i>a posteriori</i> error estimation in finite element methods

Roland Becker, Rolf Rannacher · Acta Numerica · 2001 · 1.2K citations

Computing, Computational Engineering, Computational Mechanics +16