Edge-based adaptive implicit/explicit finite element procedures for three-dimensional transport problems

摘要

We present an implementation of an edge-based strategy together with an iterative adaptive implicit/ explicit (AIE) time marching scheme for three-dimensional transport problems. The AIE algorithm treats part of the mesh as implicit and part as explicit, based on some stability and accuracy criteria. The solution of the implicit partition has its speed increased and memory requirements reduced by performing the matrix-vector products, within the iterative solver, edge-by-edge. Numerical examples show that the combined procedures can achieve significantly faster solutions than the usual fully implicit element-by-element approach.