The focus of this paper is on the use of new advances in the finite element
method to model and analyze drying problems, with emphasis on biological,
food and grain materials. It presents the current status of the use of nume
rical analysis for such process, and emphasizes the need and advantages of
incorporating adaptive and stochastic strategies into the finite element an
alysis. The existing literature on the application of the adaptive and stoc
hastic finite elements is reviewed in conjunction with the relevant advance
s in this area. A new perturbation-based stochastic methodology for nonline
ar and transient drying problems is formulated and presented in detail. The
specific application of this new methodology to drying is under developmen
t. In conclusion, tracks for future research in this field are proposed.