Multiscale Mathematics Research Project

Adaptive Multi-Scale Modeling Based on
Goal-oriented Error Estimation and Control

The goal of this research project is to develop mathematical and computational algorithms for adaptive modeling of important classes of physical systems in which multiple spatial and temporal scales are prominent features of the response. The basic approach is built around general methods of a posteriori estimation of modeling (and approximation) error and the control of error through systematic adaptive processes called Goals algorithms. The approach, in theory, can make possible the dynamic generation of multi-scale models capable of delivering results at preset levels of accuracy. Important applications of the mathematical and computational procedures are considered, including the analysis of complex multi-scale behavior encountered in nano-manufacturing of semi-conductor devices.

For additional information on this research project, visit:
1. The full project description.
2. The list of people contributing to the project.
3. The list of publications.
4. A list of talks given at conferences or during our weekly meetings.
5. Some resources on Multiscale Mathematics.

Contact Information:

Institute for Computational Engineering and Sciences (ICES)

The University of Texas at Austin

1 University Station, C0200

Austin, Texas 78712 USA