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高炉和二次污染物的对流扩散反问题
引用本文:马思琦. 高炉和二次污染物的对流扩散反问题[J]. 复旦学报(自然科学版), 2009, 48(2)
作者姓名:马思琦
作者单位:复旦大学数学科学学院,上海,200433
摘    要:对工业区中高炉烟囱、地面煤堆和屋顶积尘等产生的烟尘污染建立对流扩散模型,对源进行离散化后给出正问题的解.从理论上阐明了单点源反问题的适定性和多点源反问题的不适定性,为了克服不适定性,采用Tikhonov正则化方法.适当选取正则化项和正则化参数,并用NNLS算法求解.为减少观测点的实际需要,采用了多种风速下的测量数据,数值模拟结果表明,采用的模型与方法是可行与精确的.

关 键 词:对流扩散方程  反问题  源项  Tikhonov正则化  NNLS算法

Inverse Convection-diffusion Problems of Plumes and Second Contamination
MA Si-qi. Inverse Convection-diffusion Problems of Plumes and Second Contamination[J]. Journal of Fudan University(Natural Science), 2009, 48(2)
Authors:MA Si-qi
Affiliation:School of Mathematical Sciences;Fudan University;Shanghai 200433;China
Abstract:For an industrial area full with dust from plumes and second contamination,a convection-diffusion model is established.The solution of the model is given by discretizing sources.Then it illustrates that single source problem is well-posed and several sources problem is ill-posed.By using Tikhonov regularization method and NNLS algorithm and choosing proper regularization parameter,well-posed solutions is given.To reduce the sensors,datas are collected under different phases.In each phase,the velocity of win...
Keywords:convection-diffusion equations  inverse problems  source parameter  Tikhonov regularization  NNLS algorithm  
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