A random field representation based on stochastic harmonic functions
Jianbing Chen, Jingran He, Jie Li · cIRcle (University of British Columbia) · 2015
Random field models are widely adopted in engineering practice, for instance, to describe the mechanical properties of an engineering site or a civil structure. The most widely employed approach to represent a random field is the spectral representation. In the present paper, a new stochastic harmonic function representation by partitioning the wave number domain is proposed. The properties of the new representation are studied. A numerical example is studied to illustrate the proposed method.