15 citations · 33 across the 14 of their papers we have counts for
3 papers · 1 filter
Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains
Marc Josien, Anas El Hachimi, Isabelle Ramière
In this article, we design an original solver based on Quantized Tensor Trains (QTT) for linear elliptic equations with heterogeneous coefficient field, that allows for extremely f…
Regularity theorems for random elliptic operators on domains
Peter Bella, Julian Fischer, Marc Josien +1
Regularity theorems à la Avellaneda-Lin are an indispensable part of the modern quantitative theory of stochastic homogenization. While interior regularity results for random ellip…
Dynamic stress response kernels for dislocations and cracks: unified anisotropic Lagrangian formulation
Yves-Patrick Pellegrini, Marc Josien, Martin Chassard
Elastodynamic cohesive-zone models for defects such as cracks or dislocations (such as the Geubelle-Rice model for cracks, or the Dynamic Peierls Equation for flat-core dislocation…