Numerical Approximation and Uncertainty Quantification for Phase-Field Problems
[Math. Dept.]
April 27, 2018 16:00-17:00
W303 School of Mathematics
SPEAKER
Tao Tang (Southern University of Science and Technology)
ABSTRACT
We study the numerical approximation of Allen-Cahn and Cahn-Hillaird type equations modeling the motion of phase interfaces. The common feature of these models is an underlying gradient flow structure which gives rise to a decay of an associated energy functional along solution trajectories. In this work, by considering the classical double-well potential model, we provide an alternative framework for stability analysis for the deterministic problems. The present work is also devoted to the development and analysis of numerical methods for the stochastic version of the phase-field equations.
SUPPORTED BY
School of Mathematics, Sichuan University
LECTURE NOTES
TMCSC180427_Tao Tang_Numerical Methods and UQ Analysis for Phase Field Equations.pdf
VIDEO
- Numerical Approximation and Uncertainty Quantification for Phase-Field Problems
- 16:00 - 17:00, 2018-04-27 at W303 School of Mathematics
- Tao Tang (Southern University of Science and Technology)