刘迎曦,张家良.材料物性参数识别的梯度正则化方法[J].计算力学学报,2000,17(1):69~75 |
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材料物性参数识别的梯度正则化方法 |
Identification of material parameterswith gradient-regularization method |
修订日期:1998-07-05 |
DOI:10.7511/jslx20001011 |
中文关键词: 梯度正则化方法 参数识别 材料 物性 |
英文关键词:gradient regularization method,Frechet derivative,regularization parameters,parameter identification,ill posedness,elliptic operator equation |
基金项目:国家自然科学基金!项目编号 :5 97790 0 3 |
刘迎曦 张家良 |
[1]大连理工大学工程力学系 [2]辽宁工学院 |
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中文摘要: |
本文对梯度正则化方法(Gradient-Regularization Method)作了进一步的研究,给出一种建立了梯度正则化迭代算法和选择正参数的简明实用方法。文中椭圆算子方程参数识别算例不仅说明了GR法具有广泛的适应性和一定的抗噪声能力,而且收敛速度较快,具有较大的收敛范围。 |
英文摘要: |
This paper makes further researches on the Gradient Regularization method, and not only establishes a fresh iterative gradient regularization algorithm in a brief way but also gives a practical way to choose regularization parameters. These numerical examples which identify parameters of elliptic operator equations not only show that GR method has a wide scope of application and poses good capability of noise resistance, but also illustrate that GR method poses higher convergence speed and larger convergence scope. |
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