Adaptive finite volume method for distributed non-smooth parameter identification

Eldad Haber*, Stefan Heldmann, Uri Ascher

*Korrespondierende/r Autor/-in für diese Arbeit
33 Zitate (Scopus)

Abstract

In this paper we develop a finite volume adaptive grid refinement method for the solution of distributed parameter estimation problems with almost discontinuous coefficients. We discuss discretization on locally refined grids, as well as optimization and refinement criteria. An OcTree data structure is utilized. We show that local refinement can significantly reduce the computational effort of solving the problem, and that the resulting reconstructions can significantly improve resolution, even for noisy data and diffusive forward problems.

OriginalspracheEnglisch
Aufsatznummer017
ZeitschriftInverse Problems
Jahrgang23
Ausgabenummer4
Seiten (von - bis)1659-1676
Seitenumfang18
ISSN0266-5611
DOIs
PublikationsstatusVeröffentlicht - 01.08.2007

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