Special Session 30: Recent Development in Advanced Numerical Methods for Partial Differential Equations

An operator/direction splitting approach to a class of dissipative systems

Zhen Zhang
Southern University of Science and Technology
Peoples Rep of China
Co-Author(s):    Nan Lu, Chenxi Wang, Zhen Zhang
Abstract:
In this work, we present a novel operator/direction splitting approach for numerically solving a class of dissipative systems. The proposed methods enjoy the properties of second-order accuracy, energy stability and computationally efficiency. These are validated for many models including Cahn-Hilliard-Navier-Stokes system, phase-field surfactant system, Poisson-Nernst-Planck model, etc.