Otmar Scherzer,
"Error analysis of an equation error method for the identification of the diffusion coefficient in a quasilinear parabolic differential equation"
, in SIAM Journal on Applied Mathematics, 1999, M. Hanke and O. Scherzer, Error analysis of an equation error method for the identification of the diffusion coefficient in a quasilinear parabolic differential equation, SIAM J. Appl. Math. 59 (1999), 1012-1027
Original Titel:
Error analysis of an equation error method for the identification of the diffusion coefficient in a quasilinear parabolic differential equation
Sprache des Titels:
Deutsch
Englische Kurzfassung:
We consider the inverse problem of reconstructing the diffusion coefficient in a quasilinear parabolic differential equation in divergence form from measurements of the solution at a finite number of points in the interior of the domain. An equation error method is developed which transforms the inverse problem into a system of linear operator equations for the diffusion
coefficient, and which can be solved by the conjugate gradient method in a very efficient and stable manner. A detailed error analysis relates the required number of measurements with their accuracy. Numerical results illustrate the performance of the method.
Journal:
SIAM Journal on Applied Mathematics
Erscheinungsjahr:
1999
Notiz zum Zitat:
M. Hanke and O. Scherzer, Error analysis of an equation error method for the identification of the diffusion coefficient in a quasilinear parabolic differential equation, SIAM J. Appl. Math. 59 (1999), 1012-1027
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift