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非定常的热传导-对流问题的非线性Galerkin混合元法(Ⅲ):时间二阶精度的全离散格式 被引量:2

NONLINEAR GALERKIN MIXED ELEMENT METHODS FOR NON STATIONARY CONDUCTION-CONVECTION PROBLEMS (Ⅲ): TIME SECOND ORDER ACCURACY FULLY DISCRETE FORMAT
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摘要 In this paper, a fully discrete format of nonlinear Galerkin mixed element method with two-step discretization of time for the non stationary conduction-convection problems is presented. The existence and the convergence of the fully discrete mixed element solution are shown. On the basis of [9] and [10], we have proved that the schemes have second-order convergence accuracy for the time discretization. In this paper, a fully discrete format of nonlinear Galerkin mixed element method with two-step discretization of time for the non stationary conduction-convection problems is presented. The existence and the convergence of the fully discrete mixed element solution are shown. On the basis of [9] and [10], we have proved that the schemes have second-order convergence accuracy for the time discretization.
出处 《计算数学》 CSCD 北大核心 2004年第3期257-276,共20页 Mathematica Numerica Sinica
基金 国家自然科学基金(40275023) 北京市教委重点项目 北京市自然科学基金项目 中科院"百人计划"项目 "杰出青年基金"项目资助.
关键词 热传导-对流问题 非线性Galerkin混合元法 全离散格式 两步法 发展型偏微分方程 conduction-convection problems, nonlinear Gakerkin mixed element method, fully discrete format, two-step method
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