MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C88B44.E2E64D40" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C88B44.E2E64D40 Content-Location: file:///C:/B32D5B8C/ECE817syl.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" ECE 817 Course Syllabus

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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.    

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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