In this talk, I'll first introduce the Maxwell's equations in the Cole-Cole medium, which couples the standard Maxwell's equations with a time fractional constitutive equation. Then I will present some finite element methods developed in recent years for solving this model. Numerical results will be present to justify the theoretical analysis.

Jichun Li is Professor of Mathematics and Director for Center for Applied Mathematics and Statistics at  University of Nevada Las Vegas. His previous positions include Postdoc Fellow at University of Texas at Austin, and Associate Director of Institute for Pure and Applied Mathematics (IPAM) in UCLA. Research areas include analysis of  finite element methods, high-order compact difference methods, RBF meshless methods, and applications in electromagnetic wave propagation. He has published over 130 journal papers and 2 monographs (one on "Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials",  Springer Series in Computational Mathematics, vol.43, Springer, 2013). Currently, he serves as Editor-in-Chief of "Results in Applied Mathematics" and  Managing Editor of "Computers & Mathematics with Applications" (both published by Elsevier).