20 citations · 20 across the 14 of their papers we have counts for
14 papers
An efficient 0D-space conservative and positivity preserving battery model
S. Clain, M. C. Lucas, M. T. Malheiro +1
Embedded software aims to provide the main characteristics of a cell in real time to manage and optimize battery usage. A complete multidimensional model is not tractable with the…
Optimized Stencil Strategy for the Generalized Finite Difference Method: Application to Steady-State Non-Linear Problems
Stéphane Clain, Jorge Figueiredo
We propose an optimized stencil strategy for the Generalized Finite Difference Method (GFDM) applied to non-linear problems. We take advantage of the flexibility of GFDM to enginee…
Efficient and well-conditioned ghost-point discretization of boundary operators on unfitted domains
Armando Coco, Alessandro Coclite, Stéphane Clain +1
Unfitted boundary methods are widely used to numerically solve partial differential equations (PDEs) on irregular domains, avoiding the computational burden of generating boundary-…
The structural method for Ordinary Differential Equations
S. Clain, M. T. Malheiro, G. J. Machado +1
We design and analyse a new numerical method to solve ODE system based on the structural method. We compute approximations of solutions together with its derivatives up to order $K…
Very high-order accurate finite volume scheme for the streamfunction-vorticity formulation of incompressible fluid flows with polygonal meshes on arbitrary curved boundaries
Ricardo Costa, Stéphane Clain, Gaspar J. Machado +1
Conventional mathematical models for simulating incompressible fluid flow problems are based on the Navier-Stokes equations expressed in terms of pressure and velocity. In this con…
Structural schemes for hamiltonian systems
Stéphane Clain, Emmanuel Franck, Victor Michel-Dansac
We present an adaptation of the so-called structural method \cite{CMM23} for Hamiltonian systems, and redesign the method for this specific context, which involves two coupled diff…