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- 2018
椭圆方程柯西问题磨光正则化参数的后验选取
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Abstract:
摘要： 通过将带有参数的Gaussian函数和测量数据作卷积,把不适定问题转化为适定问题进行求解,给出基于Morozov偏差原理的后验参数选取规则并得到了精确解和正则近似解之间的误差估计。数值实验表明了磨光正则化后验参数选取规则的有效性。
Abstract: We transform the ill-posed problem into a well-posed problem by convolutioning the Gaussian function with parameters and the measurement data. A posteriori parameter choice rule is given which is based on Morozovs discrepancy principle and the error estimates between the exact solution and its approximation are also given. Numerical experiments show the validity of mollification regularization posteriori parameter choice rule
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