Publications [#378030] of Thomas P. Witelski

Papers Published

1. Orizaga, S; Witelski, T, IMEX methods for thin-film equations and Cahn–Hilliard equations with variable mobility, Computational Materials Science, vol. 243 (July, 2024) [doi]
   (last updated on 2024/11/20)

   Abstract:
   We explore a class of splitting schemes employing implicit-explicit (IMEX) time-stepping to achieve accurate and energy-stable solutions for thin-film equations and Cahn–Hilliard models with variable mobility. These splitting methods incorporate a linear, constant coefficient implicit step, facilitating efficient computational implementation. We investigate the influence of stabilizing splitting parameters on the numerical solution computationally, considering various initial conditions. Furthermore, we generate energy-stability plots for the proposed methods, examining different choices of splitting parameter values and timestep sizes. These methods enhance the accuracy of the original bi-harmonic-modified (BHM) approach, while preserving its energy-decreasing property and achieving second-order accuracy. We present numerical experiments to illustrate the performance of the proposed methods.