Numerically accurate code synthesis for Gauss pivoting method to solve linear systems coming from mechanics

Autor: Nacera Djehaf, Matthieu Martel, Mikaël Barboteu

Publikováno v: Computers & Mathematics with Applications
Computers & Mathematics with Applications, Elsevier, 2018, ⟨10.1016/j.camwa.2018.08.021⟩

In numerical analysis of mechanical problems, we usually have to solve huge linear systems, which may be non-symmetric or ill-conditioned. For these reasons, it is necessary to develop original and domain specific approaches to treat these family of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a496be9c497816b4b2f58e9583e86c69
https://doi.org/10.1016/j.camwa.2018.08.021

Modeling and simulations for quasistatic frictional contact of a linear 2D bar

Autor: Nacera Djehaf, Meir Shillor, Mircea Sofonea, Mikaël Barboteu

Publikováno v: Journal of Theoretical and Applied Mechanics
Journal of Theoretical and Applied Mechanics, Polish Society of theoretical and applied Mechanics, 2017, 55 (3), pp.897-910. ⟨10.15632/jtam-pl.55.3.897⟩

This work considers a mathematical model that describes quasistatic evolution of an elastic 2D bar that may come in frictional contact with a deformable foundation. We present the model and some of its underlying assumptions. In particular, the novel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e393b7c37ea158eaa12a3216c0c0ff7
https://hal.archives-ouvertes.fr/hal-01627006