For more information about this meeting, contact Jinchao Xu.
|Title:||Fast solution methods for discrete strain models and their applications|
|Seminar:||Computational and Applied Mathematics Colloquium|
|Speaker:||Youngju Lee (Rutgers, The State University of New Jersey)|
|Strain induced by lattice mismatch between substrate and film plays an important role in the electronic, optical and magnetic properties of materials and can serve as the deriving force for a self-organization process. It is crucial to understand the strain effects for the engineering of new material systems and the computer simulations of the strain models play a vital role along this direction. However, in many modeling to identify the strain effects, the strain equations oftentimes, should be solved
repeatedly and moreover, the system size is very large, therefore, the development of fast and efficient solution technique is an essential part of the modeling for understanding the strain effects.
In this talk, we present fast and efficient methods to solve the atomistic strain model introduced by Shindler et al. Our main algorithmic development is based on the algebraic multigrid method. This method has then been further enhanced by combining with so-called the artificial boundary condition. The artificial boundary is necessary since the thickness of the substrate is considered to be infinite compared to the film thickness. We develop the exact artificial boundary condition, which can be used to reduce the computational domain with no loss of accuracy. Several numerical examples will be introduced to validate the efficiency and robustness of our numerical methods. We then present various results of recent numerical simulations for real-life applications.|
Room Reservation Information
|Date:||09 / 21 / 2007|
|Time:||03:35pm - 04:25pm|