Journal of Engineering Physics and Thermophysics
is a translation of Inzhenerno-fizicheskii Zhurnal,
a publication of the Academic Scientific Complex
"A. V. Luikov Heat and Mass Transfer Institute"
of the National Academy of Sciences of Belarus
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the Publisher
THERMODYNAMIC SUBSTANTIATION OF THE VARIATIONAL PRINCIPLE
FOR NONLINEAR PROBLEMS OF UNSTEADY-STATE HEAT CONDUCTION
V. A. Bondarev
UDC 536.2:517.9
A variational formulation of the problem of unsteady-state
heat conduction is presented. A nonlinear functional obtained
as a result of an analysis of unsteady-state heat transfer is
suggested. The variational method can be used for solving
problems with a strong nonlinearity for which finite-difference
approximations do not enable one to obtain sutisfactory results.
A technique for calculating the approximation error in variational
problems is considered.
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