A Differential Inverse Problem from Cardiac Imaging

In this paper we consider a 2D model for the electrocardiographic inverse problem. By a classical 5-point stencil discretization we get an overdetermined sparse system of equations. We firstly derive a model verification procedure based on the solution of a well-posed direct problem. Then we solve the system by a classical CG algorithm, but with two special stopping rules, according to the "discrepancy principle" for numerical solution of inverse problems.

@inproceedings{id726,
  author = {Mohr, M. and Popa, C. and R\"ude, U.},
  booktitle = {Proceedings of the Third Workshop on Mathematical Modelling of Environmental and Life Sciences Problems, Constanta},
  editor = {Ion, S. and Marinoschi, G. and Popa, C.},
  language = {en},
  pages = {189{\textendash}204},
  publisher = {Editura Academiei Rom\^ane},
  series = {Series on Mathematical Modelling of Environmental and Life Sciences Problems},
  title = {A Differential Inverse Problem from Cardiac Imaging},
  year = {2004},
}

%O Conference Proceedings
%A Mohr, M.
%A Popa, C.
%A Rüde, U.
%B Proceedings of the Third Workshop on Mathematical Modelling of Environmental and Life Sciences Problems, Constanta
%E Ion, S.
%E Marinoschi, G.
%E Popa, C.
%G en
%P 189–204
%I Editura Academiei Române
%S Series on Mathematical Modelling of Environmental and Life Sciences Problems
%T A Differential Inverse Problem from Cardiac Imaging
%D 2004