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三维泊松方程基于Richardson外推的高精度多重网格解法 被引量：1

High-precision multi-mesh method for solution of three-dimensional Poisson equation based on Richardson extrapo-lation
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摘要 基于三维泊松方程的四阶紧致差分格式,利用Richardson外推法、算子插值法和多重网格算法,使已有四阶紧致差分格式的计算精度整体提高二阶,精度达到六阶.数值实验验证六阶格式的精确性和多重网格方法的有效性,并与四阶紧致差分格式多重网格方法的计算结果进行比较. Based on the fourth-order compact difference format of three-dimensional Poisson equation and by using the Richardson extrapolation, operator insertion, multi-mesh algorithm, the computation accuracy of above-mentioned difference format was improved by two orders, amounting to sixth-order. The nu- merical experiments verified the accuracy of the sixth-order format and the effectiveness of multi-mesh method. Its computation result was compared with that of the fourth-order difference format and multimesh method.
作者 李小纲 袁冬芳 葛永斌
机构地区 宁夏大学新华学院 宁夏大学应用数学和力学研究所
出处 《兰州理工大学学报》 CAS 北大核心 2011年第6期131-135,共5页 Journal of Lanzhou University of Technology
基金 国家自然科学基金(11061025) 教育部科学技术研究重点项目(210239) 霍英东教育基金会高等院校青年教师基金(121105)
关键词 泊松方程 高阶紧致格式 RICHARDSON外推 算子插值 多重网格方法 Poisson equation high-order compact format Richardson extrapolation operator interpola-tion multi-mesh method
分类号 O241.82 [理学—计算数学]
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参考文献13

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二级参考文献21

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兰州理工大学学报
2011年 第6期

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