Mollification Method For Two Dimensional Ihcp On Bounded Domains.

Liu, Yinghui.

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Date Uploaded: 03/26/2018
Date Modified: 03/26/2018

In this dissertation, different space marching implementations of the Mollification method are introduced to numerically recover the temperature and heat flux histories on a bounded two-dimensional rectangular body when the initial sample data are collected on one side of the body. We combined the mollification method with a singular perturbation scheme to obtain a stable algorithm. A reliable set of parameter values is experimentally determined by numerical tests to guarantee the accuracy and stability of the algorithm.

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