The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title:	Hybrid explicit-implicit FDTD-FEM time-domain solver for electromagnetic problems
Author:	Abdijalilov, Kakhkhor
View Online:	njit-etd2005-017 (xi, 74 pages ~ 3.1 MB pdf)
Department:	Federated Physics Department of NJIT and Rutgers-Newark
Degree:	Doctor of Philosophy
Program:	Applied Physics
Document Type:	Dissertation
Advisory Committee:	Grebel, Haim (Committee chair) Federici, John Francis (Committee member) Niver, Edip (Committee member) Snyder, Richard V. (Committee member) Murnick, Daniel Ely (Committee member) Sirenko, Andrei (Committee member)
Date:	2005-01
Keywords:	FDTD method FEM method Hybrid method Stability analysis
Availability:	Unrestricted
Abstract:	The Finite-Difference Time-Domain (FDTD) method and Finite-Element (FEM) method are numerical techniques used for solving Maxwell's electromagnetic equations. FDTD-FEM hybrid methods opt for combining the advantages of both FDTD and FEM. In this dissertation, signal processing techniques were used to analyze the FDTD stability condition. A procedure, which reduces time-sampling error yet preserves the stability of algorithm is proposed. Both explicit and implicit time-stepping schemes were treated in the framework of the developed method. An improved version of the implicit-explicit FEM-FDTD hybrid method was developed. The new method minimizes reflection from the interface between different types of grids. A class of transfer functions with low reflection error for stable hybrid time-stepping was derived. The stability of the method is rigorously proven for a general three-dimensional case.