Numerical Methods for the Computation of Propagating Phase Boundaries

摘要

The purpose of the proposed research is to develop new numerical methods forcomputing propagating phase boundaries in solids undergoing phase transformations, such as the austenite martensite phase transitions. We are especially interested in understanding how small scale structures, such as tip splitting and cusp formation, are dynamically generated in the process of energy minimization. Another objective of this project is to develop innovative numerical schemes for computing multiscale solutions on a coarse finite element grid. The purpose of this study is to study scattering and wave propagation in strongly heterogeneous media.