______________________________________________________
ECE 817 - Discrete Electromagnetics
Instructor:=
Prof. Fernando L. Teixeira, teixeira@ece.osu.edu, DL 312<=
/o:p>
Class Schedule:
MWF 1:30PM <=
/p>
Classroom: CL
135
Office hours: MWF
2:30PM

Description:
Discretization techniques for Maxwell equations, and associated numerical
methods, with emphasis on finite difference, finite volumes, and finite
elements. =
o:p>
Text:
·
Bondeson, Rylander, and Ingelstrom, Computational
Electromagnetics (Texts in Applied Mathematics), Springer, 2005<=
span
style=3D'font-size:11.0pt'>
References (supplemental reading):
- Taflove and S. Hagness, Computational
Electrodynamics: The Finite-Difference Time-Domain Method, Artech
House: Boston=
,
2002.
- J. L. Volakis, A. Chatterjee and L. C. Kemp=
el, Finite
Element Method for Electromagnetics, IEEE Press: New York, 1998.=
- P. Monk, Finite Element Methods for
Maxwell’s Equations, Oxford University Press, 2003.
Topics
- Classification of partial differential equa=
tions.
Review of finite-difference approximations: consistency, stability, and
convergence.
- Finite-difference time-domain (FDTD) method=
in
homogeneous and complex media with emphasis on error analysis: truncat=
ion,
staircasing, and numerical dispersion errors. Courant criterion and st=
ability
analysis. Symplectic time integration. Higher-order FDTD schemes.
- Finite-volume time-domain (FVTD) method.
Semi-discrete analysis. Consistency and stability analysis. Origin of =
unconditional
instabilities.
- Absorbing boundary conditions. <=
/span>
- Introduction to differential forms and cell
complexes. Exterior calculus for an arbitrary lattice: exterior
derivative, boundary operator, incidence matrices, Hodge operator. (5)=
- Whitney forms and the vector finite-element
method (FEM). Construction of discrete Hodge operators. Galerkin duali=
ty.
Finite-element time domain (FETD). From lumped FETD to FDTD. Sparse
approximations.
- De Rham complex, exact sequences, and the o=
rigin
of spurious discrete solutions. Discrete Hodge-Helmholtz decomposition.
Higher order Whitney forms.
Evaluation and grades: Course projects and homeworks=
________________________________________________=
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