Editor-in-Chief: Kabanikhin, Sergey I.
Managing Editor: Shishlenin, Maxim A.
null Friedman, Avner / Gorenflo, Rudolf / Lax, P. / Nishida, T. / Pukhnachev, Vladislav V. / Sabatier, P. / Alessandrini, G. / Anikonov, Yurii E. / Banks, H.T. / Belishev, M. / Belov, Yurii Ya. / Bukhgeim, A.L. / Chavent, G. / Cheng, Jin / Denisov, A.N. / Engl, Heinz W. / Hasanoglu, Alemdar / Hofmann, Bernd / Kojima, Hisako / Kokurin, Mihail Yu. / Kress, R. / Lorenzi, Alfredo / Neubauer, Andreas / Novikov, Roman G. / Paivarinta, L. / Prilepko, A. / Romanov, Vladimir G. / Sacks, Paul / Uhlmann, G. / Vasin, Vladimir V. / Wang, Yanfei / Yagola, Anatoly G. / Yamamoto, Masahiro / Yurko, Vacheslav A. / Zou, Jun
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1Center for Research in Scientific Computation, Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8212, USA.
2Laboratoire J. L. Lions, Université Pierre et Marie Curie, 175 rue du Chevaleret, 75005 Paris, France.
3Nondestructive Evaluation Science Branch, NASA Langley Research Center, MS 231, Hampton, VA 23681, USA.
Citation Information: Journal of Inverse and Ill-posed Problems. Volume 19, Issue 6, Pages 825–857, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.051, September 2011
Publication History:
In this effort we investigate the behavior of a model derived from homogenization theory as the model solution in parameter estimation procedures for simulated data for heat flow in a porous medium. We consider data simulated from a model on a perforated domain with isotropic flow and data simulated from a model on a homogeneous domain with anisotropic flow. We report on both ordinary and generalized least squares parameter estimation procedures.
Keywords.: Inverse problems; parameter estimation; perforated domains; homogenization; thermal diffusion; ordinary least squares; generalized least squares
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