Inverse problems and applications

Rostislav Hrtus

Nov. 26, 2013, 1:45 p.m. S2 059

An Inverse problem with a scalar elliptic partial dierential equation with a
priori known material interfaces will be introduced. In the given setup a proof
of existence of the solution in a continuous case will be shown, where it is
well understandable which properties play an important role. Three dierent
numerical examples of inverse problems will be given. The rst example is for
a parabolic state problem, the second one for a hydro-mechanical model and
the third one is the Poisson's equation model in two dimensions.