# 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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