An adaptive algorithm for determination of source terms in a linear parabolic problem

作者：Erdem Arzu^*

来源：Journal of Inverse and Ill-Posed Problems, 2014, 22(4): 569-592.

DOI：10.1515/jip-2013-0019

• Inverse coefficient source problem
• parabolic equation
• gradient method

This paper investigates an adaptive algorithm for identification of source terms w := {F (x, t); p (t)} in the linear parabolic equation u(t) = u(xx) + F (x, t) and Robin boundary condition -u(x) (l, t) = nu[u (l, t) - p (t)] from the measured final data and the measurement of the temperature in a subregion. This is based on the minimization of Tikhonov functional. We pursue the approach iteratively regularized gradient method. Results with the adaptive algorithm are presented.

• 出版日期2014-8