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Time-adaptive FEM for distributed parameter identification in biological models

Larisa Beilina (Institutionen för matematiska vetenskaper, matematik) ; I. Gainova
Applied Inverse Problems, Springer Proceedings in Mathematics & Statistics. Larisa Beilina (Ed.) (2194-1009). Vol. 48 (2013), p. 37-50.
[Konferensbidrag, refereegranskat]

We propose a time-adaptive finite element method for the solution of a parameter identification problem for ODE which describes dynamical systems of biological models. We present framework of a posteriori error estimate in the Tikhonov functional, in Lagrangian, and in the reconstructed function. We also present time-mesh relaxation property in the adaptivity and formulate the time-mesh refinement recommendation and an adaptive algorithm which can be used to find optimal values of the distributed parameters in biological models.

Denna post skapades 2013-12-23. Senast ändrad 2016-06-27.
CPL Pubid: 190457


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