MULTISCALE SHORT COURSE
A Short Course on Multiscale-Multiphysics Modeling will be given by Prof. Jacob Fish (Rensselaer Polytechnic Institute) on Sunday Oct 15th 2005.

The outline of the short-course is as following:
1. Motivation
  Multiscale Problems in Science and Engineering
  Heterogeneous and Functionally Graded Materials
  Overview of Spatial Scales Decomposition Approaches
2. Information-Passing Multiscale (IPM) Approach
  2.1 Asymptotic Multiscale methods
  • Multiple Spatial Scales
  • Model Errors of Information Passing Approach
  • Material Design and Multiscale Sensitivity
  • Introduction to Multiple temporal scales
  • Introduction to Multiple spatial and temporal scales
  • Discrete-to-continuum IPM bridging
  2.2 Multiscale Enrichment based on Partition of Unity
3. Concurrent Multiscale (CM) Approach
  Multigrid-like approaches
  Discrete-to-continuum CM bridging