| 振荡函数的移动最小二乘逼近方法 |
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| 引用本文： | 张瑜,聂玉峰,李义强.振荡函数的移动最小二乘逼近方法[J].航空计算技术,2011,41(1):30-33. |
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| 作者姓名： | 张瑜 聂玉峰 李义强 |
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| 作者单位： | 西北工业大学,理学院,应用数学系,陕西,西安,710129 |
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| 基金项目： | 国家自然科学基金重点资助项目，国家自然科学基金资助项目，教育部回国留学人员科研启动基金资助项目 |
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| 摘 要： | 移动最小二乘法在求解偏微分方程数值解中得到广泛使用,但是用等距节点逼近振荡函数时逼近精度不高,针对这一问题,用适应函数变化的非均匀节点离散求解区域,与之相适应,移动最小二乘法中权函数的支撑域半径也随节点密度变化,这里用基于领域搜索算法确定支撑域半径。数值算例表明,在移动最小二乘法中,用适应节点变化的节点集及基于领域的搜索算法确定支撑域半径能够有效减小逼近误差。
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| 关 键 词： | 移动最小二乘法 支撑域半径 振荡函数 领域搜索算法 |
Approximation of Oscillating Function in Moving Least Squares Method |
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| ZHANG Yu,NIE Yu-feng,LI Yi-qiang.Approximation of Oscillating Function in Moving Least Squares Method[J].Aeronautical Computer Technique,2011,41(1):30-33. |
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| Authors: | ZHANG Yu NIE Yu-feng LI Yi-qiang |
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| Institution: | (Department of Applied Mathematics,School of Science,Northwestern Polytechnical University,Xi′an 710129,China) |
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| Abstract: | Moving least square method is widely used in solving partial differential equations,but the approximation accuracy of approximating oscillation function with equidistant nodes is not high.In order to solve this problem,this paper use the non-uniform set of nodes which adapt the change of the function to discrete the solution region,corresponding,the radius of the support domain of the weight function change with the nodes density in moving least squares method,this paper based on field search algorithm to d... |
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| Keywords: | moving least square method radius of support domain oscillation function field search algorithm |
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