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Most Downloaded Articles
- Conference announcement “Inverse and Ill-Posed Problems of Mathematical Physics” dedicated to the 80th birthday of Academician M. M. Lavrentiev
- The inverse spectral problem for the Sturm–Liouville operator with discontinuous potential by Sedipkov, Aydys A.
- Chemnitz Symposium on Inverse ProblemsChemnitz, Germany, September 27–28, 2007 by Hofmann, B.
Parameter estimation for the heat equation on perforated domains
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
- Published Online:
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.