Parameter identification and application of a distributed parameter coupled system with a movable inner boundary

In this paper, we establish a distributed parameter coupled system concerning Arctic sea ice temperature field, in which the ice thickness is regarded as a movable inner boundary of the space domain. The existence and continuity of the weak solution to the coupled system are proved. According to the measured data, we establish a parameter identification model with the ice thickness as control variable and the coupled system as constraints. Finally, an optimization algorithm is constructed on the basis of nonoverlapping domain decompositionmethod and semi-implicit difference scheme. Through numerical calculation, we obtain the characteristics of the ice thicknesses and the ice temperatures. © 2011 Elsevier Ltd. All rights reserved.