Search Results - "Jamelot, Erell"
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Variational methods for solving numerically magnetostatic systems
Published in Advances in computational mathematics (01-02-2024)“…In this paper, we study some techniques for solving numerically magnetostatic systems. We consider fairly general assumptions on the magnetic permeability…”
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2
Discontinuous Galerkin schemes for the Stokes problem
Published in EPJ Web of conferences (2024)“…Our aim is to develop a robust and flexible code to simulate flows in nuclear core reactors. Discontinuous Galerkin schemes are thus proposed here to solve the…”
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3
Improved Crouzeix-Raviart scheme for the Stokes and Navier-Stokes problem
Published in ESAIM. Proceedings and surveys (2024)“…The resolution of the incompressible Navier-Stokes equations is tricky, and it is well known that one of the major issue is to approach the space: H 1 (Ω)∩ H…”
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4
Numerical analysis of the neutron multigroup $SP_N$ equations
Published in Comptes rendus. Mathématique (13-07-2021)“…The multigroup neutron $SP_N$ equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady…”
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Numerical analysis of the neutron multigroup S P N equations
Published in Comptes rendus. Mathématique (13-07-2021)Get full text
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6
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation
Published in Journal of computational physics (15-05-2013)“…Studying numerically the steady state of a nuclear core reactor is expensive, in terms of memory storage and computational time. In order to address both…”
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7
Numerical analysis of the neutron multigroup $SP_N$ equations
Published in Comptes rendus. Mathématique (13-07-2021)“…Les équations de la neutronique $SP_N$ multigroupe, qui sont une approximation de l’équation de transport des neutrons, sont utilisées pour la modélisation des…”
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8
A simple monodimensional model coupling an enthalpy transport equation and a neutron diffusion equation
Published in Applied mathematics letters (01-12-2016)“…We obtain an analytic solution of a monodimensional stationary system coupling a simplified thermohydraulic model to a simplified neutronic model based on the…”
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Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
Published in Numerische Mathematik (2009)“…A few years ago, Costabel and Dauge proposed a variational setting, which allows one to solve numerically the time-harmonic Maxwell equations in 3D polyhedral…”
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10
T-coercivity for solving Stokes problem with nonconforming finite elements
Published 02-11-2022“…We propose to analyse the discretization of the Stokes problem with nonconforming finite elements in light of the T-coercivity (cf. [1] for Helmholtz-like…”
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11
Domain decomposition methods for the diffusion equation with low-regularity solution
Published in Computers & mathematics with applications (1987) (15-11-2017)“…We analyze matching and non-matching domain decomposition methods for the numerical approximation of the mixed diffusion equations. Special attention is paid…”
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12
Explicit T -coercivity for the Stokes problem: a coercive finite element discretization
Published 18-10-2024“…Using the T-coercivity theory as advocated in [Chesnel, Ciarlet, T -coercivity and continuous Galerkin methods: application to transmission problems with sign…”
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13
Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries
Published in Journal of computational physics (10-09-2007)“…A few years ago, Costabel and Dauge proposed a variational setting, which allows one to solve numerically the time-harmonic Maxwell equations in 3D geometries…”
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14
Domain Decomposition for the SPN Solver MINOS
Published in Transport theory and statistical physics (01-01-2012)“…In this article we present a domain decomposition method for the mixed SP N equations, discretized with Raviart-Thomas-Nédélec finite elements. This domain…”
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15
Numerical Results for the Coupling of a Simple Neutronics Diffusion Model and a Simple Hydrodynamics Low Mach Number Model without Coupling Codes
Published in 2016 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) (01-09-2016)“…We obtain an analytic solution of a monodimensional stationary system coupling two simplified models, one solving the thermohydraulic equations, the other one…”
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Conference Proceeding -
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Domain Decomposition for the SP sub(N) Solver MINOS
Published in Transport theory and statistical physics (01-12-2012)“…In this article we present a domain decomposition method for the mixed SP sub(N) equations, discretized with Raviart-Thomas-Nedelec finite elements. This…”
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17
Domain Decomposition for the SP N Solver MINOS
Published in Transport theory and statistical physics (01-12-2012)Get full text
Journal Article