Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés
Abdelkader Laazizi; Nagib Guessous
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 33, Issue: 5, page 989-1002
- ISSN: 0764-583X
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topLaazizi, Abdelkader, and Guessous, Nagib. "Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés." ESAIM: Mathematical Modelling and Numerical Analysis 33.5 (2010): 989-1002. <http://eudml.org/doc/197566>.
@article{Laazizi2010,
abstract = {
In this paper, we consider second order neutrons diffusion problem with
coefficients in L∞(Ω). Nodal method of the lowest
order is applied to approximate the problem's solution. The approximation
uses special basis functions [1] in which the coefficients
appear. The rate of convergence obtained is O(h2) in L2(Ω),
with a free rectangular triangulation.
},
author = {Laazizi, Abdelkader, Guessous, Nagib},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Nodal methods; diffusion problem; rough coefficients.; nodal method; nuclear reactors; neutron diffusion; finite elements; convergence; numerical examples; error bounds},
language = {eng},
month = {3},
number = {5},
pages = {989-1002},
publisher = {EDP Sciences},
title = {Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés},
url = {http://eudml.org/doc/197566},
volume = {33},
year = {2010},
}
TY - JOUR
AU - Laazizi, Abdelkader
AU - Guessous, Nagib
TI - Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 5
SP - 989
EP - 1002
AB -
In this paper, we consider second order neutrons diffusion problem with
coefficients in L∞(Ω). Nodal method of the lowest
order is applied to approximate the problem's solution. The approximation
uses special basis functions [1] in which the coefficients
appear. The rate of convergence obtained is O(h2) in L2(Ω),
with a free rectangular triangulation.
LA - eng
KW - Nodal methods; diffusion problem; rough coefficients.; nodal method; nuclear reactors; neutron diffusion; finite elements; convergence; numerical examples; error bounds
UR - http://eudml.org/doc/197566
ER -
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