Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory

Thomas J.R. Hughes, W. K. Liu

Journal of Applied Mechanics · 1978 · 343 citations · 0 references

Concepts

Abstract

A stability analysis is carried out for a new family of implicit-explicit finite-element algorithms. The analysis shows that unconditional stability may be achieved for the implicit finite elements and that the critical time step of the explicit elements governs for the system.