The fast Gauss transform for non-local integral FE models

摘要

Originally developed for fast solving multi-particle problems, the fast Gauss transform (FGT) is here applied to non-local finite element models of integral type (FEFGT). The focus is on problems requiring fine geometry discretization, as in the case of solutions that exhibit high gradients or boundary layers. As shown by one- and two-dimensional examples, the FEFGT algorithm combines the robustness of the finite element method with the outstanding computational efficiency of the FGT.