Abstract
An iterative procedure, in which an analytical solution known for a simpler problem is used to obtain the solution to a problem with much more complicated non-linear boundary conditions, is presented. Sufficient convergence conditions in S.L. Sobolev's space W sup1inf2 (A) are established. This algorithm can be useful when fast solutions are required, for example, in controlling an optimized cooling system for hot metal rolling. An example is given.
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Azarkhin, A. Steady-state temperature in a roll subject to surface heating and convection cooling. J Eng Math 28, 105–116 (1994). https://doi.org/10.1007/BF00127580
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DOI: https://doi.org/10.1007/BF00127580