Before revision:  Finally, considering the physical properties of heat transfer , this work proposes four different losses and joint learns the deep surrogate model with these losses  . Experimental studies have conducted over typical two-dimensional heat-source systems to demonstrate the effectiveness and efficiency of the proposed physics-informed deep surrogate models for temperature field reconstruction .
After revision:  Finally, considering the physical characteristics of heat conduction as well as the boundary conditions , this work proposes four different losses and joint learns the deep surrogate model with these losses . Experimental studies have conducted over typical two-dimensional heat-source systems to demonstrate the effectiveness and efficiency of the proposed physics-informed deep surrogate models for temperature field reconstruction .