A method for considering a priori information in solving ill-posed inverse problems
Abstract
With reference to the iterative regularization of a solution to an ill posed inverse problem, a method is proposed for considering a priori information concerning the smoothness of the function being reconstructed and also the values of the function and its derivatives at certain points of the definition domain. To illustrate the efficiency of the approach proposed here, an inverse boundary value heat conduction problem is solved with allowance for qualitative and quantitative a priori information.
- Publication:
-
Inzhenerno Fizicheskii Zhurnal
- Pub Date:
- December 1985
- Bibcode:
- 1985InFiZ..49..925A
- Keywords:
-
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Conductive Heat Transfer;
- Temperature Inversions;
- Data Smoothing;
- Functions (Mathematics);
- Iterative Solution;
- Fluid Mechanics and Heat Transfer