Time-adaptive FEM for distributed parameter identification in biological models
Paper i proceeding, 2013

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.

Författare

Larisa Beilina

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Irina Gainova

Sobolev Institute of Mathematics of Siberian Branch of the RAS

Applied Inverse Problems, Springer Proceedings in Mathematics & Statistics. Larisa Beilina (Ed.)

2194-1017 (eISSN)

Vol. 48 37-50

Ämneskategorier

Matematik

DOI

10.1007/978-1-4614-7816-4_3

ISBN

978-1-4614-7815-7