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An application of the domain decomposition method into the boundary element method for solving the multi-region neutron diffusion equation

机译:区域分解法在边界元法求解多区域中子扩散方程中的应用

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摘要

This paper presents a technique for solving the neutron diffusion equation with the boundary element method based on the domain decomposition method. In this technique, the domain region is decomposed into homogeneous regions. The boundary conditions on the common boundary of decomposed regions and the multiplication factor are initially assumed. The boundary conditions on the other boundary are given. The neutron diffusion equation is solved iteratively at two levels of a hierarchical Structure: first, the boundary element method is applied to solve the neutron diffusion Equation of each homogeneous region under given assumed boundary conditions and Multiplication factor.
机译:提出了一种基于域分解法的边界元法求解中子扩散方程的技术。在该技术中,畴区域被分解成均质区域。最初假定分解区域的公共边界上的边界条件和乘数。给出了另一个边界上的边界条件。在分级结构的两个级别上迭代求解中子扩散方程:首先,在给定的假定边界条件和乘数因子下,应用边界元方法求解每个均匀区域的中子扩散方程。

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