Article ID Journal Published Year Pages File Type
498814 Computer Methods in Applied Mechanics and Engineering 2010 10 Pages PDF
Abstract

The work presented here deals with the reconstruction of the thermal field inside a three-dimensional structure when only some pointwise temperature measurements along a time interval [0, T] are available. The model-based reconstruction procedure builds upon optimal control theory applied to the determination of the unknown boundary conditions. The proposed dual approach enables one to reduce the on-line computational cost so that the resulting algorithm can be part of a real-time process. The complexity of the resulting algorithm does not depend on geometry. The paper details a novel methodology that enables to implement the reconstruction procedure using standard finite element tools, despite the difficulty to define the pointwise values of a three-dimensional field in the usual functional spaces where finite element methods converge.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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