3 papers
math.NA2026
Parameter-unbounded convergence of Crossed-Secant accelerated Uzawa and penalty-splitted algorithms for frictionless contact
Daria Koliesnikova, Isabelle Ramière
We propose a unified iterative framework for the solution of frictionless mechanical contact problems, which relies exclusively on the solution of standard stiffness systems. The f…
math.NA2026
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…
math.NA2025
Parallel simulation and adaptive mesh refinement for 3D elastostatic contact mechanics problems between deformable bodies
Alexandre Epalle, Isabelle Ramière, Guillaume Latu +1
Parallel implementation of numerical adaptive mesh refinement (AMR)strategies for solving 3D elastostatic contact mechanics problems is an essential step toward complex simulations…