caa a22 4500 469040424 CHVBK 20180323132809.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF02653203 doi (NATIONALLICENCE)springer-10.1007/BF02653203 Numerical methods for inverse problem of heat conduction with unknown boundary based on variational principles with variable domain [Elektronische Daten] [Gao-Lian Liu, Dao-Fang Zhang] In this article a variable-domain variational approach to the entitled problem is presented. A pair of complementary variational principles with a variable domain in terms of temperature and heat-streamfunction are first established. Based on them, two methods of solution—generalized Ritz method and variable-domain FEM—both capable of handling problems with unknown boundaries, are suggested. Then, three sample numerical examples have been tested. The computational process is quite stable, and the results are encouraging. This variational approach can be extended straightforwardly to 3-D inverse problems as well as to other problems in mathematical physics. Science Press, 1992 variable-domain variational method nationallicence inverse heat conduction problem nationallicence unknown boundary nationallicence generalized Ritz method nationallicence finite element method nationallicence Liu Gao-Lian Shanghai University of Technology and Shanghai Institute of Appl. Math. & Mechanics, 200072, Shanghai, China aut Zhang Dao-Fang Shanghai Institute of Mechanical Engineering, 200093, Shanghai, China aut Journal of Thermal Science Science Press 1/4(1992-12-01), 241-248 1003-2169 1:4<241 1992 1 11630 https://doi.org/10.1007/BF02653203 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02653203 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu Gao-Lian Shanghai University of Technology and Shanghai Institute of Appl. Math. & Mechanics, 200072, Shanghai, China aut NATIONALLICENCE 700 1- Zhang Dao-Fang Shanghai Institute of Mechanical Engineering, 200093, Shanghai, China aut NATIONALLICENCE 773 0- Journal of Thermal Science Science Press 1/4(1992-12-01), 241-248 1003-2169 1:4<241 1992 1 11630 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer