The PDE-constrained optimization method based on MFS for solving inverse heat conduction problems
The PDE-constrained optimization method based on MFS for solving inverse heat conduction problems
投稿时间:2017-07-06  最后修改时间:2017-07-06
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中文关键词:  
英文关键词:Inverse heat conduction problem  PDE-constrained optimization  Method of fundamental solutions  Time-dependent heat source  Tikhonov regularization method
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作者单位E-mail
张永富 大连理工大学 zhyf88888@163.com 
李崇君 大连理工大学  
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      In this paper, we present an effective meshless method for solving the inverse heat conduction problems, with the Neumann boundary condition. The PDE-constrained optimization method is developed to get a global approximation scheme in both spatial and temporal domains, by using the fundamental solution of the governing equation as the basis function. Due to the initial measured data containing the noisy error, and the resultant systems of equations are usually extremely sensitive and ill-conditioned, the Tikhonov regularization technique with the generalized cross-validation criterion, is applied to obtain more stable numerical solutions. It is shown that the proposed schemes are accurate, effective and robust by some numerical tests
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