DE3: Yet another high-order integration scheme for linear structural dynamics

Abstract

In this paper, we present the DE3 integration scheme. This unconditionally stable scheme is dedicated to the numerical integration of linear structural dynamics problems and offers a simple and easy to use high-order alternative to the second-order accurate ones that are usually employed. Its symmetric formulation makes it an interesting candidate to simulate large-scale problems. In addition, the scheme offers the possibility to control the introduced numerical damping via a single algorithmic parameter, which is very convenient for the filtering of the spurious oscillations that can arise from large stiffness contrasts in certain models. The properties of high-order accuracy and numerical damping are illustrated by way of a demonstrative example.