一个非标准逆热传导问题的一种正则化方法

A Regularization Method for a Non-Standard Inverse Heat Conduction Problem

考虑一个非标准的逆热传导问题,该问题是不适定的,即解不连续地依赖于数据.采用一种改进的Fourier正则化方法构造出问题的正则解,误差分析表明,该正则化方法是有效的.

A non-standard inverse heat conduction problem is discussed. This problem is ill-posed,i. e. the solution is discontinuously dependent on the data. To obtain the solution to this problem,an improved Fourier regularization method is constructed,and error analysis indicate that this method is effective.