The projects covered by this research area are as follows:
P1. Development of Hybrid Finite-Difference/Finite Element Formulation
Time domain CEM techniques seek the numerical solution of time dependent Maxwell equations. These techniques are more efficient than frequency domain techniques for simulation and characterization of transient and ultra wideband EM phenomena. Researchers at TL@NUS have developed a full-wave EM solver based on a hybrid finite-difference/finite element formulation and successfully applied the solver to compute the electromagnetic radiation from real-world antenna structures and geometries. The solver adopts hybrid mesh and higher-order hierarchical vector basis functions to achieve high accuracy in the solution.
P2. Advanced Time Domain Techniques for Modeling Wideband EM Response
This project focuses on the development of discontinuous Galerkin finite-element time-domain method (DG-FETDM) for modeling wideband EM response. The DG-FETDM utilizes hierarchical vector basis functions and the solution is obtained by a Runge-Kutta (RK-n) algorithm in order to maintain high order accuracy. It may be considered as a kind of domain decomposition method (DDM). Both electric and magnetic fields are computed in each sub-domain and only the fields in adjacent sub-domains are directly related to each other by the fields on their interfaces. Thus, there is no need to solve a global matrix equation related to all boundary values like the tearing and interconnecting algorithm. Moreover, the sub-domain used in this method can be tetrahedral elements. With the element-level decomposition, each element is only related to its neighboring element in an explicit manner.