Stefan Kindermann, Andreas Neubauer,
"Estimation of discontinuous parameters of elliptic partial differential equations by regularization for surface representations"
, in Inverse Problems , 2001, S. Kindermann and A. Neubauer, Estimation of discontinuous parameters of elliptic partial differential equations by regularization for surface representations, Inverse Problems 17 (2001), 789-803.
Original Titel:
Estimation of discontinuous parameters of elliptic partial differential equations by regularization for surface representations
Sprache des Titels:
Englisch
Englische Kurzfassung:
In this paper we apply a new regularization method, regularization for surface representations to two-dimensional parameter estimation problems where
the parameter is supposed to have jumps. This method is well-suited for ill-posed problems with discontinuous solutions. It is a generalization of the recently developed method, regularization for curve representations, which has been successfully applied to linear and nonlinear one-dimensional ill-posed problems. We prove convergence of the finite-dimensional Tikhonov regularized solutions and present some numerical results.
Journal:
Inverse Problems
Erscheinungsjahr:
2001
Notiz zum Zitat:
S. Kindermann and A. Neubauer, Estimation of discontinuous parameters of elliptic partial differential equations by regularization for surface representations, Inverse Problems 17 (2001), 789-803.
Forschungs-