6533b7d5fe1ef96bd12646e9
RESEARCH PRODUCT
Numerical methods for nonlinear inverse problems
Pekka NeittaanmäkiAntti NiemistöTommi Kärkkäinensubject
Nonlinear inverse problemInverse problemsMathematical optimizationFinite element methodNumerical analysisApplied MathematicsInverse problemOptimal controlFinite element methodTwo-grid methodIdentification (information)Computational MathematicsRate of convergenceDistributed parameter systemError estimatesMathematicsdescription
AbstractInverse problems of distributed parameter systems with applications to optimal control and identification are considered. Numerical methods and their numerical analysis for solving this kind of inverse problems are presented, main emphasis being on the estimates of the rate of convergence for various schemes. Finally, based on the given error estimates, a two-grid method and related algorithms are introduced, which can be used to solve nonlinear inverse problems effectively.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-11-01 | Journal of Computational and Applied Mathematics |