Computational Physics Group
Computational Mechanics and Physics, Computational Science and Engineering
Multi-time, Multi-scale, Multi-physics Modeling of Complex Systems
Statistical Micromechanics, Statistical Materials Learning Techniques
Experimental and Numerical Microtomography Based Modeling of Materials
Numerical Methods and Nonlinear Mechanics
High Performance Parallel Computing
We have developed the Multi-Resolution Wavelet Toolkit (MRWT)
The recent review article entitled "A Review of Predictive Nonlinear Theories for Multiscale Modeling of Heterogeneous Materials", published in the Journal of Computational Physics (JCP) is featured on the ScienceDirect as the Most Downloaded Article in JCP.
Recent Scientific Discoveries
In our new article, we present an adaptive wavelet method with error control. This work introduced highly adaptive wavelet solver with high-data compression. We show mathematical proofs of errors in solution of nonlinear PDEs, and construct a sparse, dynamically adaptive computational grid for each unknown that a priori guarantees the required accuracy.