ARTICLE 20
Aymen Laadhari, Ahmad Deeb
Numerical Approach Based on the Composition of One-Step Time-Integration Schemes For Highly Deformable Interfaces. AIP Conference Proceedings. The 9th International Conference on Modeling, Simulation and Applied Optimization. Accepted, 2022.
In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set frame-
work. To obtain a fast and viable numerical solution in both time and space, temporal discretization is based on the composition of
one-step methods exhibiting higher orders and stability, especially in the case of stiff problems with strongly oscillatory solutions.
Numerical results are provided in the case of ordinary and partial differential equations to show the main features and demonstrate
the performance of the method. Convergence properties and efficiency in terms of computational cost are also investigated.
