Mat-1.3656 Seminar on
numerical analysis and computational science
Monday, March 19, 2012, room
U322 at 14.15, Eirola & Stenberg
Antti Huhtala, A! Department of Mathematics and Systems Analysis
Numerical convergence of regularized Poisson inverse source problems
When solving inverse source problems numerically, it is of interest to
know the magnitude of the error caused by the discretization steps. This
can then be compared to other sources of uncertainty and error in the
problem, which in turn can be used in choosing a suitable resolution for
the discretization.
We have derived a-priori convergence estimates for regularized Poisson
inverse problems, in the case where the measurement data is finite
dimensional. We present the convergence analysis for a prototype problem
and show examples in the case of full regularity and limited regularity.