Stochastic Spectral Element, Finite Cell and Spectral Cell Methods

Pooya Zakian is an Associate Professor of Civil Engineering with more than a decade of experience in academia. He holds B.Sc., M.Sc., and Ph.D. degrees in Civil Engineering, with the latter two specializing in Earthquake Engineering. An active technical reviewer for international journals, his research interests include computational mechanics, structural optimization, machine learning, stochastic structural mechanics, structural dynamics, and earthquake engineering. Dr. Zakian contributed to the development of three stochastic numerical techniques applied to structural mechanics and wave propagation problems. He is the author of over 50 peer reviewed journal articles, numerous conference papers, and one book in Persian. He has received several awards in Iran, including the Postdoctoral Fellowship Award for Outstanding Graduates, the Distinguished Dissertation Award, and the Distinguished Researcher Award. He was also included on the Stanford-Elsevier list of highly cited scientists in 2025 and 2026.

Introduction.- Spectral element method.- Finite and spectral cell methods.- Preliminaries on probability theory.- Random field decomposition using Karhunen-Loève expansion.- Stochastic spectral element method.- Stochastic finite cell method.- Stochastic spectral cell method.