Abstract

Using an image plane introduced previously by Liu [4] the original shape design problem of heat conduction is transformed into the one with known boundary and a pair of complementary variational principles (VP) for it with complicated boundary conditions are established in terms of the heat stream function and the temperature function respectively. Based upon these VP some finite element solutions to the shape design problem of heat conduction are presented. Finally, a very interesting invariance rule of inverse problem solutions with respect to the temperature-dependent conductivity is identified and numerically demonstrated.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.