Numerical identifications of parameters in parabolic systems
Numerical identifications of parameters in parabolic systems
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DOI：
10.1088/0266-5611/14/1/009
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发表时间：
1998-02
期刊：
影响因子：
2.1
通讯作者：
Yee Lo Keung;J. Zou
中科院分区：
文献类型：
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作者：
Yee Lo Keung;J. Zou
本文研究了抛物型初边值问题中物理参数的数值识别问题。识别问题首先制定为一个约束最小化一个使用输出最小二乘方法与-正则化或BV-正则化。然后，一个简单的有限元方法被用来近似的约束最小化问题和收敛性的近似显示两个正则化。离散约束问题可以归结为一系列无约束极小化问题。数值实验表明，即使对于识别高度不连续和振荡的参数，所提出的方法也是有效的。
In this paper, we investigate the numerical identifications of physical parameters in parabolic initial-boundary value problems. The identifying problem is first formulated as a constrained minimization one using the output least squares approach with the -regularization or BV-regularization. Then a simple finite element method is used to approximate the constrained minimization problem and the convergence of the approximation is shown for both regularizations. The discrete constrained problem can be reduced to a sequence of unconstrained minimization problems. Numerical experiments are presented to show the efficiency of the proposed method, even for identifying highly discontinuous and oscillating parameters.