Uncertainties in the heat conduction problems and reliable estimates
Published inReports of the Department of Mathematical Information Technology. Series B, Scientific computing
The heat conduction problems for anisotropic bodies are studied taking into account the uncertainties in the material orientation. The best estimations of the upper and lower bounds of the considered energy dissipation functional are based on the developing new approach consisting in solution of some optimization problems and ﬁnding the extremal internal material structures, which realize minimal and maximal dissipation.