Numerical study of optimal control domain decomposition for nonlinear boundary heat in the human eye

Document Type : Research Article


Universite' Cadi Ayyad, Faculte' des Sciences et Techniques, Marrakech, Maroc


The present work sheds new light on the computation of the heat distribution on the boundary of the human eye. Due to different values of the thermal conductivity on each region of the human eye, the domain decomposition technique is introduced and an optimization formulation is analysed and studied to derive a proposed algorithm. All obtained partial differential equations are approached by discontinuous dual reciprocity boundary element method. The validity of the proposed approaches is confirmed by comparing to results reported with previous experimental and numerical studies.