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

Author

Larisa Beilina

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

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

Subject Categories

Computational Mathematics

Roots

Basic sciences

DOI

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

ISBN

978-3-319-12498-8

More information

Created

10/7/2017