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A Data Assimilation...
A Data Assimilation Approach to Coefficient Identification
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- Berntsson, Fredrik (författare)
- Linköpings universitet,Tillämpad matematik,Tekniska högskolan
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- Mpinganzima, Lydie (författare)
- National University of Rwanda, Box 117, Butare, Rwanda,och Matematiska institutionen, Tillämpad matematik, Tekniska högskolan Linköping
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(creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2011
- Engelska 9 s.
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Serie: LiTH-MAT-R, 0348-2960 ; 2011:9
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Applied mathematics
- Tillämpad matematik
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