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Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy

Larisa Beilina (Institutionen för matematiska vetenskaper, matematik) ; Irina Gainova
Inverse Problems and Applicationspapers from: 3rd Annual Workshop on Inverse Problems, 2013; Stockholm; Sweden; 2 - 6 May 2013; (Springer Proceedings in Mathematics & Statistics) (2194-1009). Vol. 120 (2015), p. 111-124.
[Konferensbidrag, refereegranskat]

We propose a time-adaptive finite element method for the solution of a parameter identification problem for ODE system which describes dynamics of primary HIV infection with drug therapy. We present framework of a posteriori error estimate in the Tikhonov functional and in the Lagrangian. We also formulate the time-mesh refinement recommendation and an adaptive algorithm to find optimal values of the distributed parameter in our identification problem.



Denna post skapades 2014-05-06. Senast ändrad 2016-06-27.
CPL Pubid: 197629

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Tillämpad matematik

Chalmers infrastruktur