Otmar Scherzer,
"A posteriori error estimates for the solution of nonlinear ill-posed operator equations"
, in Nonlinear Analysis: Theory, Methods and Applications, Vol. 45, Nummer 4, Seite(n) 459-481, 8-2000, O. Scherzer, A posteriori estimates for nonlinear (ill-posed) operator equations, Nonlinear Analysis, to appear
Original Titel:
A posteriori error estimates for the solution of nonlinear ill-posed operator equations
Sprache des Titels:
Englisch
Englische Kurzfassung:
In this paper we consider a posteriori estimates for inverse and ill-posed problems. A posteriori estimates are widely used in finite element methods (e.g. in two-level methods) for the solution of nonlinear partial
differential equations. Such estimates are not available for ill-posed problems since usually the derivation requires well-posedness assumptions. In this paper we derive a posteriori estimates for ill-posed problems using
source conditions.
Journal:
Nonlinear Analysis: Theory, Methods and Applications
Volume:
45
Number:
4
Seitenreferenz:
459-481
Erscheinungsmonat:
8
Erscheinungsjahr:
2000
Notiz zum Zitat:
O. Scherzer, A posteriori estimates for nonlinear (ill-posed) operator equations, Nonlinear Analysis, to appear