2 papers
math.NA2023
Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method
Yukun Yue
In this paper, we conduct an in-depth investigation of the structural intricacies inherent to the Invariant Energy Quadratization (IEQ) method as applied to gradient flows, and we…
math.NA2023
On the Convergence of an IEQ-based first-order Numerical Scheme for the Beris-Edwards System
Franziska Weber, Yukun Yue
We present a convergence analysis of an unconditionally energy-stable first-order semi-discrete numerical scheme designed for a hydrodynamic Q-tensor model, the so-called Beris-Edw…