CONVERGENCE OF A FULLY DISCRETE SCHEME FOR TWO-DIMENSIONAL NEUTRON TRANSPORT*
CONVERGENCE OF A FULLY DISCRETE SCHEME FOR TWO-DIMENSIONAL NEUTRON TRANSPORT*
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二维中子输运完全离散方案的收敛*
DOI：
10.1137/0720065
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发表时间：
1983
影响因子：
2.9
通讯作者：
J. Pitkäranta
中科院分区：
文献类型：
--
作者：
Claes Johnson;J. Pitkäranta
基于角变量的离散纵坐标方法和空间变量的分段线性试函数间断Galerkin有限元方法，证明了中子输运理论中二维模型问题数值解的全离散方法的误差估计。导言。本文基于角变量的离散纵坐标方法和空间变量的间断Galerkin有限元方法，证明了求解中子输运理论中二维模型问题的全离散方法的误差估计。这类方法已用于工程计算(见(10))。在一维情况下(板几何)全离散格式的分析
We prove an error estimate for a fully discrete method for the numerical solution of a two-dimensional model problem in neutron transport theory based on using the discrete ordinates method for the angular variable and the discontinuous Galerkin finite element method with piecewise linear trial functions for the space variable. Introduction. In this note we prove an error estimate for a fully discrete method for the numerical solution of a two-dimensional model problem in neutron transport theory based on using the discrete ordinates method for the angular variable and the discontinuous Galerkin finite element method for the space variable. Methods of this type have been used in engineering computations (see e.g. (10)). In the one-dimensional case (slab geometry) an analysis of fully discrete schemes