ABSTRACT
A scheme to solve finite element problems with certain nonlinearities has been developed. It consists of a combination of the two general strategies – explicit and implicit – in such a manner that when the implicit process starts to diverge, the explicit one is activated and executed until proper convergence is reached. Partitioning of the mesh into parts or groups of nodes for separate implicit or explicit treatment of solution is not considered in this work. The formulation is presented initially and its implementation is validated by the analysis of a key numerical example.