Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy
Paper i proceeding, 2015

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.

Författare

Larisa Beilina

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Irina Gainova

Sobolev Institute of Mathematics of Siberian Branch of the RAS

Inverse Problems and Applicationspapers from: 3rd Annual Workshop on Inverse Problems, 2013; Stockholm; Sweden; 2 - 6 May 2013; (Springer Proceedings in Mathematics & Statistics)

2194-1017 (eISSN)

Vol. 120 111-124

Ämneskategorier

Beräkningsmatematik

Fundament

Grundläggande vetenskaper

DOI

10.1007/978-3-319-12499-5_8

ISBN

978-3-319-12498-8

Mer information

Skapat

2017-10-07