Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|Page(s)||60 - 66|
|Published online||26 August 2010|
A SOR Acceleration of Self-Adjoint and m-Accretive Splitting Iterative Solver for 2-D Neutron Transport Equation
ENSP, University of Yaoundé I, P.O. Box 8390, Yaoundé, Cameroon
2 Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
* Corresponding author: E-mail:
We present an iterative method based on an infinite dimensional adaptation of the successive 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 and m-Accretive Splitting (SAS). This splitting leads to an ADI-like iterative method which converges unconditionally and is equivalent to a fixed point problem where the operator is a 2 by 2 matrix of operators. An infinite dimensional adaptation of a SOR algorithm is then applied to solve the matrix operator equation. Theoretical and numerical results of convergence are given
Mathematics Subject Classification: 82D77 / 82C70 / 47J25 / 47B44 / 65B99
Key words: neutron transport / operator splitting / self-adjoint / m-accretive / iterative methods / SOR acceleration
© EDP Sciences, 2010
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