一种求解椭圆PDEs参数识别问题的新方法  

A new method for parameter identification in elliptic PDEs

作　　者：冯富荣[1] 韩秀平[1] 潘状元[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《辽宁科技大学学报》2008年第6期611-615,共5页Journal of University of Science and Technology Liaoning

摘　　要：对椭圆偏微分方程参数识别问题进行了研究。受修正的牛顿迭代法的启发,将萨马斯技巧应用于derivative-free Landweber迭代法,提出frozen derivative-free Landweber迭代法,并且在一般条件下证明了它的收敛性,这种方法大大减少了迭代过程中的计算量。The parameter identification in certain elliptic PDEs was studied. Motivated by the modified Newton iteration, and by applying Sarnaskii technique to the derivative-free Landweber iteration, a frozen derivative-free Landweber iteration was proposed. And a convergence was proved under general conditions, which greatly reduced the computation work in iteration process.

关 键 词：椭圆偏微分方程 不适定问题 正则化 

分 类 号：TG335.1[金属学及工艺—金属压力加工]