Adaptive finite volume method for distributed non-smooth parameter identification

Eldad Haber*, Stefan Heldmann, Uri Ascher

*Corresponding author for this work
33 Citations (Scopus)


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.

Original languageEnglish
Article number017
JournalInverse Problems
Issue number4
Pages (from-to)1659-1676
Number of pages18
Publication statusPublished - 01.08.2007


Dive into the research topics of 'Adaptive finite volume method for distributed non-smooth parameter identification'. Together they form a unique fingerprint.

Cite this