A feed-back approach to error control in finite element methods: application to linear elasticity

A simple error estimator and adaptive procedure for practical engineerng analysis

O. C. Zienkiewicz, J.Z. Zhu · International Journal for Numerical Methods in Engineering · 1987 · 2.4K citations

Computing, Computational Engineering, Computational Structural Analysis +16

Inequalities in Mechanics and Physics

Georges Duvaut, J. L. Lions, Camille John et al. · Journal of Applied Mechanics · 1977 · 1.9K citations · Full text

Natural Sciences, Mathematics, Physics +10

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

A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations

Thomas J.R. Hughes, Leopoldo P. Franca, Marc Balestra · Computer Methods in Applied Mechanics and Engineering · 1986 · 1.4K citations

Engineering, Computational Engineering, Mechanical Engineering +12

Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem

Kenneth Eriksson, Claes Johnson · SIAM Journal on Numerical Analysis · 1991 · 614 citations

Computing, Computational Engineering, Computational Mechanics +15