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A Data Assimilation Approach to Coefficient Identification
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
National University of Rwanda, Box 117, Butare, Rwanda. (och Matematiska institutionen, Tillämpad matematik, Tekniska högskolan Linköping)
2011 (English)Report (Other academic)
Abstract [en]

The thermal conductivity properties of a material can be determined experimentally by using temperature measurements taken at specified locations inside the material. We examine a situation where the properties of a (previously known) material changed locally. Mathematically we aim to find the coefficient k(x) in the stationary heat equation (kTx)x = 0;under the assumption that the function k(x) can be parametrized using only a few degrees of freedom.

The coefficient identification problem is solved using a least squares approach; where the (non-linear) control functional is weighted according to the distribution of the measurement locations. Though we only discuss the 1D case the ideas extend naturally to 2D or 3D. Experimentsdemonstrate that the proposed method works well.





Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press , 2011. , 9 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2011:9
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-67761ISRN: LiTH-MAT-R--2011/09--SEOAI: diva2:412732
Available from: 2011-04-26 Created: 2011-04-26 Last updated: 2011-04-26Bibliographically approved

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Berntsson, Fredrik
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