Continuous Interior Penalty Method Framework for 6th Order Cahn-Hilliard Equations

Explore a seminar on developing stable numerical methods for sixth-order Cahn-Hilliard-type equations, presented by Natasha Sharma from the University of Texas at El Paso. Delve into the challenges of solving complex systems like crystal growth and microemulsion dynamics. Examine the continuous interior penalty Galerkin framework proposed for these equations, including its stability, unique solvability, and convergence properties. Discover applications ranging from simulating crystal growth and crack propagation to modeling oil-water-surfactant systems for enhanced oil recovery and drug delivery. Gain insights into overcoming computational challenges posed by higher-order derivatives in time-dependent processes. Review benchmark problem results and discuss current and future applications of this numerical approach in materials science and fluid dynamics.