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A SOR Acceleration of Self-Adjoint and m-Accretive SplittingIterative Solver for 2-D Neutron Transport Equation

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
O. Awono  and
J. Tagoudjeu
O. Awono
Affiliation:
ENSP, University of Yaoundé I, P.O. Box 8390, Yaoundé, Cameroon
J. Tagoudjeu*
Affiliation:
ENSP, University of Yaoundé I, P.O. Box 8390, Yaoundé, Cameroon Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
*
*Corresponding author: E-mail:[email protected]
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Abstract

We present an iterative method based on an infinite dimensional adaptation of thesuccessive overrelaxation (SOR) algorithm for solving the 2-D neutron transport equation.In a wide range of application, the neutron transport operator admits a Self-Adjoint andm-Accretive Splitting (SAS). This splitting leads to an ADI-like iterative method whichconverges unconditionally and is equivalent to a fixed point problem where the operator isa 2 by 2 matrix of operators. An infinite dimensional adaptation of a SOR algorithm isthen applied to solve the matrix operator equation. Theoretical and numerical results ofconvergence are given

Keywords

neutron transportoperator splittingself-adjointm-accretiveiterative methodsSOR acceleration
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 60 - 66
Copyright
© EDP Sciences, 2010

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References

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