Zobrazeno 1 - 10
of 124
pro vyhledávání: '"Duprez, Michel"'
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
Purpose: The treatment of cardiovascular diseases requires complex and challenging navigation of a guidewire and catheter. This often leads to lengthy interventions during which the patient and clinician are exposed to X-ray radiation. Deep Reinforce
Externí odkaz:
http://arxiv.org/abs/2403.02777
Autor:
Bui, Huu Phuoc, Duprez, Michel, Rohan, Pierre-Yves, Lejeune, Arnaud, Bordas, Stephane P. A., Bucki, Marek, Chouly, Franz
The Finite Element Method (FEM) is a well-established procedure for computing approximate solutions to deterministic engineering problems described by partial differential equations. FEM produces discrete approximations of the solution with a discret
Externí odkaz:
http://arxiv.org/abs/2403.00401
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
Mental disorders may exhibit pathological brain rhythms and neurostimulation promises to alleviate of patients' symptoms by modifying these rhythms. Today, most neurostimulation schemes are open-loop, i.e. administer experimental stimulation protocol
Externí odkaz:
http://arxiv.org/abs/2303.11099
Mental disorders (MD) are among the top most demanding challenges in world-wide health. According to the World Health Organization, the burden of MDs continues to grow with significant impact on health and major social and human rights. A large numbe
Externí odkaz:
http://arxiv.org/abs/2303.11037
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
Autor:
Dumont, Yves, Duprez, Michel
The sterile insect technique (SIT) is a biological control technique that can be used either to eliminate or decay a wild mosquito population under a given threshold to reduce the nuisance or the epidemiological risk. In this work, we propose a model
Externí odkaz:
http://arxiv.org/abs/2210.05970
The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion matrices with a reduced number of controls has been studied in the case of constant matrices. On the other hand, boundary controllability issues and
Externí odkaz:
http://arxiv.org/abs/2209.03673
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