seminar

In this talk, we first introduce a simple (integer/fractional-order stochastic) differential equation with different scales and show the time homogenization process. Analysis and numerical experiments are conducted to demonstrate the advantages of homogenization methods in numerical computations. Furthermore, we use this idea of time homogenization to the challenging plaque growth fluid-structure interaction problem (blood flow coupled with a slow plaque growth at the artery wall). A fast-solving framework and finite element solver based on the front-tracking method are developed to predict the long-term plaque growth problem. Finally, we perform numerical simulations to demonstrate the effectiveness of the multiscale method.

This work is joint with Ping Lin (UoDundee) and Lei Zhang (SJTU).