Výsledky vyhledávání - "Vanessa Lleras"

φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations

Autor: Michel Duprez, Vanessa Lleras, Alexei Lozinski

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57, pp.1111-1142. ⟨10.1051/m2an/2023010⟩

We present an immersed boundary method to simulate the creeping motion of a rigid particle in a fluid described by the Stokes equations discretized thanks to a finite element strategy on unfitted meshes, called ϕ-FEM, that uses the description of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14f70f33cd3a578686d761a97ea94a4a
https://hal.science/hal-03588715v4/file/main.pdf

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Nitsche method for contact with Coulomb friction: Existence results for the static and dynamic finite element formulations

Autor: Franz Chouly, Patrick Hild, Vanessa Lleras, Yves Renard

Publikováno v: Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, 2022, 416, pp.114557. ⟨10.1016/j.cam.2022.114557⟩

International audience; We study the Nitsche-based finite element method for contact with Coulomb friction considering both static and dynamic situations. We provide existence and/or uniqueness results for the discretized problems under appropriate a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::945e6ebe1632303bedb7a5887b91d234
https://hal.science/hal-03927542

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φ-FEM: a Finite Element Method on Domains Defined by Level-Sets

Autor: Alexei Lozinski, Michel Duprez, Vanessa Lleras

Publikováno v: 10th International Conference on Adaptative Modeling and Simulation.

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Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f9bf639b4a728775396d2d12d48333b
https://doi.org/10.23967/admos.2021.081

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A new $\phi$-FEM approach for problems with natural boundary conditions

Autor: Michel Duprez, Vanessa Lleras, Alexei Lozinski

Publikováno v: Numerical Methods for Partial Differential Equations
Numerical Methods for Partial Differential Equations, Wiley, In press
Numerical Methods for Partial Differential Equations, In press, 39 (1), pp.281-303. ⟨10.1002/num.22878⟩

International audience; We present a new finite element method, called $φ$-FEM, to solve numerically elliptic partial differential equations with natural (Neumann or Robin) boundary conditions using simple computational grids, not fitted to the boun

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b36dd0f7eb68f3623a917f09644b7a9f
http://arxiv.org/abs/2003.11733

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Finite element method with local damage on the mesh

Autor: Michel Duprez, Vanessa Lleras, Alexei Lozinski

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2019, ⟨10.1051/m2an/2019023⟩
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, In press, ⟨10.1051/m2an/2019023⟩

We consider the finite element method on locally damaged meshes allowing for some distorted cells which are isolated from one another. In the case of the Poisson equation and piecewise linear Lagrange finite elements, we show that the usual a priori

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47db498944f51f922ce7f273ea00e217

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Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study

Autor: Huu Phuoc Bui, Marek Bucki, Stéphane Bordas, Satyendra Tomar, Michel Duprez, Vanessa Lleras, Franz Chouly, Pierre-Yves Rohan, Claudio Lobos, Alexei Lozinski

Publikováno v: Applied Mathematical Modelling
Applied Mathematical Modelling, Elsevier, 2020, 77 (1), pp.709-723. ⟨10.1016/j.apm.2019.07.055⟩
Applied Mathematical Modelling, 2020, 77 (1), pp.709-723. ⟨10.1016/j.apm.2019.07.055⟩

Errors in biomechanics simulations arise from modeling and discretization. Modeling errors are due to the choice of the mathematical model whilst discretization errors measure the impact of the choice of the numerical method on the accuracy of the ap

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38fa766166f2fd85db1aeb63f47bbe7b

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Nitsche-based finite element method for contact with Coulomb friction

Autor: Vanessa Lleras, Franz Chouly, Patrick Hild, Yves Renard

Publikováno v: Lecture Notes in Computational Science and Engineering
European Conference on Numerical Mathematics and Advanced Applications ENUMATH 2017
European Conference on Numerical Mathematics and Advanced Applications ENUMATH 2017, University of Bergen, Sep 2017, Voss, Norway. pp.839-847, ⟨10.1007/978-3-319-96415-7_79⟩
Lecture Notes in Computational Science and Engineering ISBN: 9783319964140

International audience; The aim of this paper is to provide some mathematical results for the discrete problem associated to contact with Coulomb friction, in linear elasticity, when finite elements and Nitsche method are considered. We consider both

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70fc89ba4b00bdde74994a81f0c075f4
https://hal.science/hal-01654487/file/authorv3.pdf

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A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies

Autor: Vanessa Lleras, Saber Amdouni, Patrick Hild, Maher Moakher, Yves Renard

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2012, pp.813-839. ⟨10.1051/m2an/2011072⟩

The purpose of this paper is to provide ap riorierror estimates on the approximation of contact conditions in the framework of the eXtended Finite-Element Method (XFEM) for two dimen- sional elastic bodies. This method allows to perform finite-elemen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9188125959dd40a4a31dd9b8e78e179
https://doi.org/10.1051/m2an/2011072

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Some remarks on time-dependent variational problems and their asymptotic behaviour

Autor: Mihai Bostan, Vanessa Lleras

Publikováno v: Nonlinear Analysis: Theory, Methods & Applications. 73:1820-1833

The subject matter of this paper is the asymptotic behaviour of quasi-static variational inequalities, as regards physical parameters like the friction coefficient, compliance coefficient, etc. By convex duality, the quasi-static problems can be reca

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b2a05464e688c071e77ce93b83fc3f9c
https://doi.org/10.1016/j.na.2010.05.017

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Residual Error Estimators for Coulomb Friction

Autor: Vanessa Lleras, Patrick Hild

Publikováno v: SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2009, 47 (5), pp.3550-3583. ⟨10.1137/070711554⟩

International audience; This paper is concerned with residual error estimators for finite element approximations of Coulomb frictional contact problems. A recent uniqueness result by Renard in [SIAM J. Math. Anal., 38 (2006), pp. 452–467] for the c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a0c806f046e9e7596d2a13127934053
https://doi.org/10.1137/070711554

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