Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Mikaël Barboteu"'
Publikováno v:
Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2022, Iss 1, Pp 1-22 (2022)
Abstract In this paper, we propose a semi-smooth Newton method and a primal-dual active set strategy to solve dynamical contact problems with friction. The conditions of contact with Coulomb’s friction can be formulated in the form of a fixed point
Externí odkaz:
https://doaj.org/article/846e150c13b64d6c89abc22d0b1d4967
Autor:
Mikaël Barboteu, David Danan
Publikováno v:
Advances in Mathematical Physics, Vol 2016 (2016)
We consider a mathematical model which describes the dynamic evolution of a viscoelastic body in frictional contact with an obstacle. The contact is modelled with a combination of a normal compliance and a normal damped response law associated with a
Externí odkaz:
https://doaj.org/article/0219e73fd3104fcda9bbc360686cfe11
Autor:
Mikaël Barboteu, Mircea Sofonea
We deal with a class of elliptic quasivariational inequalities with constraints in a reflexive Banach space. We use arguments of monotonicity, convexity and compactness in order to prove a convergence criterion for such inequalities.This criterion al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f47bf38197c7043574c2af38ca80da5f
https://doi.org/10.21203/rs.3.rs-2738514/v1
https://doi.org/10.21203/rs.3.rs-2738514/v1
Publikováno v:
Computers & Mathematics with Applications
Computers & Mathematics with Applications, Elsevier, 2018, ⟨10.1016/j.camwa.2018.08.021⟩
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
https://doi.org/10.1016/j.camwa.2018.08.021
Publikováno v:
Computers & Mathematics with Applications
Computers & Mathematics with Applications, Elsevier, 2021, 82, pp.36-59. ⟨10.1016/j.camwa.2020.11.017⟩
Computers & Mathematics with Applications, Elsevier, 2021, 82, pp.36-59. ⟨10.1016/j.camwa.2020.11.017⟩
In this paper, several active set methods based on classical problems arising in Contact Mechanics are analyzed, namely unilateral/bilateral contact associated with Tresca’s/Coulomb’s law of friction in small and large deformation. The purpose of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e963d6cb4b31074663b84c7ed0264ffb
https://hal.archives-ouvertes.fr/hal-03230698/file/DumontS_ComputMathApp_dep_2021.pdf
https://hal.archives-ouvertes.fr/hal-03230698/file/DumontS_ComputMathApp_dep_2021.pdf
Publikováno v:
Mathematics and Mechanics of Solids
Mathematics and Mechanics of Solids, SAGE Publications, 2017, http://journals.sagepub.com/doi/10.1177/1081286517718604. ⟨10.1177/1081286517718604⟩
Mathematics and Mechanics of Solids, SAGE Publications, 2017, http://journals.sagepub.com/doi/10.1177/1081286517718604. ⟨10.1177/1081286517718604⟩
Using the time approximation method we obtain the existence of a weak solution for the dynamic contact problem with damping and a non-convex stored elastic energy function. On the contact boundary we assume the normal compliance law and the generaliz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a41666335e7f79aecf49747c68872a0
https://doi.org/10.1177/1081286517718604
https://doi.org/10.1177/1081286517718604
Publikováno v:
SIAM Journal on Numerical Analysis. 55:640-663
This paper is devoted to a study of the numerical solution of elliptic hemivariational inequalities with or without convex constraints by the finite element method. For a general family of elliptic...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ea242592a99bd1bc0232bf6a8bd4f1f
https://doi.org/10.1137/16m1072085
https://doi.org/10.1137/16m1072085
Publikováno v:
Applied Mathematics and Computation. 284:286-307
In this work two active set type methods are considered in order to solve a mathematical problem which describes the frictionless contact between a deformable body and a perfectly rigid obstacle, the so-called Signorini Problem. These methods are the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f47678dd5295bcf1f13d20cd5e1aa374
https://doi.org/10.1016/j.amc.2016.03.012
https://doi.org/10.1016/j.amc.2016.03.012
Publikováno v:
Kalpa Publications in Computing.
The purpose of this talk is primarily to introduce a new methodology to synthesize numerically accurate programs for the Gaussian elimination method in order to solve linear systems coming from mechanical problems. The synthesis is based on program t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4223bd251a35bd022efb13c4dfece8d6
https://doi.org/10.29007/75kg
https://doi.org/10.29007/75kg
Publikováno v:
Journal of Theoretical and Applied Mechanics
Journal of Theoretical and Applied Mechanics, Polish Society of theoretical and applied Mechanics, 2018, 56, pp.483-496. ⟨10.15632/jtam-pl.56.2.483⟩
Journal of Theoretical and Applied Mechanics, Polish Society of theoretical and applied Mechanics, 2018, 56, pp.483-496. ⟨10.15632/jtam-pl.56.2.483⟩
We consider a mathematical model which describes the dynamic evolution of a viscoelastic body in frictional contact with an obstacle. The contact is modelled with normal damped response and unilateral constraint for the velocity field, associated to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b873f10d8180ca5b4aaa0450ba49d174
https://hal.archives-ouvertes.fr/hal-01930265
https://hal.archives-ouvertes.fr/hal-01930265