The purpose of this paper is to present a new Hardy space approach of Dirichlet type problem. This reduces to a simple extremal problem when considering Hardy space of upper-high complex plane. An efficient discrete algorithm is proposed with the help of reproducing kernel to the Tikhonov regularization. Moreover, from the energy minimization point of view, harmonic maps describe the intrinsic mapping between different metric manifolds. Especially, for two planer region in R2, the harmonic map, i.e. the harmonic function, always exists. The above properties imply that the harmonic map is a well-behaved mapping and it is possible to be applied in planer shape distortion. Moreover, this kind of skill is possible for system identification since it is involved complex domain approaching. © 2016 IEEE.