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Study On Inverse Problems Of The Intensity Of The Industrial Plumes

Posted on:2011-08-06Degree:MasterType:Thesis
Country:ChinaCandidate:Y CaiFull Text:PDF
GTID:2120360305998204Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
On the basis of the Guass Model of a single point or several source points, the thesis illustrates and discusses the inverse problem on calculating the delivery capacity per plume via the ground measurement. And it also provides, under the situation of instability of the convection dominated and contamination concentration, the solution of discrete problem, and considers the impact of the measure value on the solution, concerning to the certain existence of original error. In the process of the solution of the inverse problem, this thesis primarily employs Tikhonov regularization method to tackle the ill-posedness of the solution, and meanwhile makes the comparison to both advantages and disadvantages between the Tikhonov method, TSVD method, NNLS method and the Least Square method respectively.Besides,the thesis demonstrates the corresponding improvements in accordance to the specific circumstances after we have conducted quite a few times of data's repeatedly imitative pilots, and find the good solution for the condition of several source points. The thesis also states the probe and discussion on the effect upon the precision of solution exerted by the following factors——maximized original error, quantity of plume, position of the measure points, option of the measure time and the minimized distance between plumes, etc. And the appropriate suggestion of resolution methods concerning the possible occurrences lurking above is given in the thesis as Tikhonov regularization method well.
Keywords/Search Tags:inverse problems, source point, Guass model, Tikhonov regularization method, affect factors
PDF Full Text Request
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