Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Lleras, Vanessa"'
This paper presents a new finite difference method, called {\varphi}-FD, inspired by the {\phi}-FEM approach for solving elliptic partial differential equations (PDEs) on general geometries. The proposed method uses Cartesian grids, ensuring simplici
Externí odkaz:
http://arxiv.org/abs/2410.08042
Thanks to a finite element method, we solve numerically parabolic partial differential equations on complex domains by avoiding the mesh generation, using a regular background mesh, not fitting the domain and its real boundary exactly. Our technique
Externí odkaz:
http://arxiv.org/abs/2303.12013
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 Phi-FEM, that uses the description of t
Externí odkaz:
http://arxiv.org/abs/2211.07012
One of the major issues in the computational mechanics is to take into account the geometrical complexity. To overcome this difficulty and to avoid the expensive mesh generation, geometrically unfitted methods, i.e. the numerical methods using the si
Externí odkaz:
http://arxiv.org/abs/2110.05072
We present a new finite element method, called $\phi$-FEM, to solve numerically elliptic partial differential equations with natural (Neumann or Robin) boundary conditions using simple computational grids, not fitted to the boundary of the physical d
Externí odkaz:
http://arxiv.org/abs/2003.11733
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:
http://arxiv.org/abs/1808.06350
Autor:
Duprez, Michel, Bordas, Stéphane P. A., Bucki, Marek, Bui, Huu Phuoc, Chouly, Franz, Lleras, Vanessa, Lobos, Claudio, Lozinski, Alexei, Rohan, Pierre-Yves, Tomar, Satyendra
Publikováno v:
Applied Mathematical Modelling Volume 77, Part 1, January 2020, Pages 709-723
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:
http://arxiv.org/abs/1806.06944
Publikováno v:
In Journal of Computational and Applied Mathematics 15 December 2022 416
Modélisation, analyse et simulation de problèmes de contact en mécanique des solides et des fluides.
Autor:
Lleras, Vanessa
La modélisation des problèmes de contact pose de sérieuses difficultés qu'elles soient conceptuelles, mathématiques ou informatiques. Motivés par le rôle fondamental que jouent les phénomènes de contact, nous nous intéressons à la modélis
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00442074
http://tel.archives-ouvertes.fr/docs/00/44/20/74/PDF/theselleras.pdf
http://tel.archives-ouvertes.fr/docs/00/44/20/74/PDF/theselleras.pdf
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). May/Jun2023, Vol. 57 Issue 3, p1111-1142. 32p.