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Analysis of a block Gauss-Seidel iterative method for a finite element discretization of the neutron transport equation

 

作者: LeonardJ. Lorence,   WilliamR. Martin,   Mitchell Luskin,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1985）
卷期: Volume 14, issue 1  

页码: 35-62

 

ISSN:0041-1450

 

年代: 1985

 

DOI:10.1080/00411458508211669

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

We prove the convergence of a finite element discretization of the neutron transport equation. The iterative solution of the resulting linear system by a block Gauss-Seidel method is also analyzed. This procedure is shown to require less storage than the direct solution by Gaussian elimination, and an estimate for the rate of convergence is used to show that fewer arithmetic operations are required.

 

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