Thursday, Nov 9, 2017 - 3:30pm - Allen 14
Multiscale discontinuous Galerkin method for schrodinger equations
Dr. Wei Wang, Mathematics and Statistics, Florida International University
Title: Multiscale discontinuous Galerkin method for schrodinger equations
Abstract: In this talk we will introduce the multiscale discontinuous Galerkin (DG) method for one-dimensional stationary Schrodinger equations. Because of the oscillatory behavior of the solutions, traditional numerical methods require extremely refined meshes to resolve the small scale structure of solutions, thus the computational cost is huge. The main ingredient of our method is to incorporate the small scales into finite element basis functions so that the method can capture the multiscale solution on coarse meshes.