Numerical analysis of coupling for a kinetic equation

Moulay Tidriri

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 6, page 1121-1134
  • ISSN: 0764-583X

Abstract

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In this paper we introduce a coupled systems of kinetic equations for the linearized Carleman model. We then study the existence theory and the asymptotic behaviour of the resulting coupled problem. In order to solve the coupled problem we propose to use the time marching algorithm. We then develop a convergence theory for the resulting algorithm. Numerical results confirming the theory are then presented.

How to cite

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Tidriri, Moulay. "Numerical analysis of coupling for a kinetic equation." ESAIM: Mathematical Modelling and Numerical Analysis 33.6 (2010): 1121-1134. <http://eudml.org/doc/197583>.

@article{Tidriri2010,
abstract = { In this paper we introduce a coupled systems of kinetic equations for the linearized Carleman model. We then study the existence theory and the asymptotic behaviour of the resulting coupled problem. In order to solve the coupled problem we propose to use the time marching algorithm. We then develop a convergence theory for the resulting algorithm. Numerical results confirming the theory are then presented. },
author = {Tidriri, Moulay},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Asymptotic behaviour; Carleman equations; coupling of kinetic equations; time marching algorithm.; linearized Carleman model; existence; asymptotic behaviour; time-marching algorithm; convergence},
language = {eng},
month = {3},
number = {6},
pages = {1121-1134},
publisher = {EDP Sciences},
title = {Numerical analysis of coupling for a kinetic equation},
url = {http://eudml.org/doc/197583},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Tidriri, Moulay
TI - Numerical analysis of coupling for a kinetic equation
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 6
SP - 1121
EP - 1134
AB - In this paper we introduce a coupled systems of kinetic equations for the linearized Carleman model. We then study the existence theory and the asymptotic behaviour of the resulting coupled problem. In order to solve the coupled problem we propose to use the time marching algorithm. We then develop a convergence theory for the resulting algorithm. Numerical results confirming the theory are then presented.
LA - eng
KW - Asymptotic behaviour; Carleman equations; coupling of kinetic equations; time marching algorithm.; linearized Carleman model; existence; asymptotic behaviour; time-marching algorithm; convergence
UR - http://eudml.org/doc/197583
ER -

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