Plenary Lecture

Plenary 8

Bjorn Engquist (U of Texas at Austin): Current trends in multiscale modeling

Thursday, April 21, 2011, 10:30 – 11:15

After a brief overview of analytical and numerical multiscale modeling methods we will focus on two recent examples. One is the coupling of simulations on different scales and potentially different physical models. The different scales may be applied to different parts of the computational domain or the smallest scale may be sampled in sub domains throughout the full computational domain. The gain in efficiency over a direct numerical simulation of all scales in the full domain is from applying the computational expensive model for the smallest scales only in sub domains. The other technique is the fast multipole method for high frequency wave propagation. The gain in efficiency is here from exploiting low rank representation of relevant interactions.