PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Changhe Qiao, Fei Wang, Lu Wang.

Title:Numerical approximations and analysis for phase-field equations
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:YANG Jiang, Penn State
Abstract:
In this presentation, we concentrate on numerical approximations and analysis for two phase-field equations, namely the Allen-Cahn equation and the Cahn Hilliard equations. Based on the stabilized semi-implicit scheme, which is unconditionally energy stable with only first order accuracy, we use the spectral deferred correction (SDC) methods to produce high order accurate solutions. A local p-adaptive strategy is proposed to balance the accuracy and overall energy stability. Another part focuses on the numerical stability analysis for Allen-Cahn equations. Apart from extensively studied energy stability, we establish the numerical maximum principle and the uniform L^2 stability for finite difference methods and Fourier spectral methods, respectively.

Room Reservation Information

Room Number:MB315
Date:10 / 03 / 2014
Time:03:30pm - 05:00pm