828 citations · 3.2k across the 31 of their papers we have counts for
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Mollified finite element approximants of arbitrary order and smoothness
Eky Febrianto, Michael Ortiz, Fehmi Cirak
The approximation properties of the finite element method can often be substantially improved by choosing smooth high-order basis functions. It is extremely difficult to devise suc…
Large scale ab-initio simulations of dislocations
Mauricio Ponga, Kaushik Bhattacharya, Michael Ortiz
We present a novel methodology to compute relaxed dislocations core configurations, and their energies in crystalline metallic materials using large-scale \emph{ab-intio} simulatio…
Model-Free Data-Driven Methods in Mechanics: Material Data Identification and Solvers
Laurent Stainier, Adrien Leygue, Michael Ortiz
This paper presents an integrated model-free data-driven approach to solid mechanics, allowing to perform numerical simulations on structures on the basis of measures of displaceme…