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多维非定常中子迁移方程Galerkin有限元法近似解的收敛性和广义解的存在性
引用本文:郭柏灵,王胜华.多维非定常中子迁移方程Galerkin有限元法近似解的收敛性和广义解的存在性[J].应用泛函分析学报,2005,7(1):1-12.
作者姓名:郭柏灵  王胜华
作者单位:1. 北京应用物理和计算数学研究所,北京,100088
2. 上饶师范学院,江西,上饶,334001
基金项目:ThisworkissupportedbyJiangxiprovincenaturalsciencefoundation(0311022)
摘    要:使用Galerkin有限元法研究了多维非定常中子迁移方程,证明了Galerkin有限元法近似解的收敛性和广义解的存在性.

关 键 词:非定常中子迁移方程  广义解  Galerkin有限元法  近似解  收敛性  巴拿赫空间

The Convergence of Approximate Solution for Galerkin Finite Elements Method and the Existence of Generalized Solutions of the Unsteady Neutron Transport Equation in Multidimension
GUO Bo-ling,WANG Sheng-hua.The Convergence of Approximate Solution for Galerkin Finite Elements Method and the Existence of Generalized Solutions of the Unsteady Neutron Transport Equation in Multidimension[J].Acta Analysis Functionalis Applicata,2005,7(1):1-12.
Authors:GUO Bo-ling  WANG Sheng-hua
Institution:GUO Bo-ling~1,WANG Sheng-hua~21. Institute of Applied Physics and Computational Mathematics,P.O.Box 8009-28,Beijing 100088,China2. Department of Mathematics and Computer,Shangrao Normal University,Jiangxi 334001,China
Abstract:The objective of this paper is using Galerkin finite elements method to research multidimensional plane unsteady neutron transport equation, and to get the convergence of Galerkin finite elements method approximate solution and the existence of generalized solutions.
Keywords:unsteady neutron transport equation  Galerkin finite elements method  Generalized solution
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