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Identification of thermal conductivity by means of the gradient method and the BEM

Majchrzak E., Dziewoński M., Jasiński M.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2007

Vol. 6, nr 1

147-158

In the paper the application of the gradient method coupled with the boundary element method for numerical solution of the inverse parametric problem is presented. On the basis of the knowledge of temperature field in the domain considered the temperature dependent thermal conductivity is identified. The non-steady state is considered and 1D problem is discussed. In the final part of the paper the results of computations are shown.

Estimation of boundary heat flux during cast iron solidification

Mendakiewicz J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2007

Vol. 6, nr 1

191-198

In the paper the inverse problem consisting in estimation of boundary heat flux during cast iron solidification is presented. In order to solve the inverse problem formulated it is assumed that the cooling curves at selected set of points from the casting domain are given. The algorithm bases on the gradient method coupled with the finite differences method. In the final part of the paper the results of computations are shown.

Identification of temperature dependent thermal conductivity using the gradient method

Majchrzak E., Freus K., Freus S.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2006

Vol. 5, nr 1

114-123

In the paper the application of the BEM for numerical solution of the inverse parametric problem is presented. On the basis of the knowledge of temperature field in the domain considered the temperature dependent thermal conductivity is identified. The steady state is considered (2D problem) and mixed boundary conditions are taken into account. The inverse problem is solved using the gradient method. In the final part of the paper the results of computations are shown.