| | Standard Course Syllabus | Course Supervisor | Date of Approval |
| | Dept. of Electrical and Computer Engineering | Teixeira | March 12, 2004 |
| | 894K | Discrete Electromagnetics |
| | 2. | CATALOG DESCRIPTION |
| | Introduction to discrete formulations of electromagnetics and associated numerical methods with emphasis on finite |
| | difference, finite volume, and finite element techniques. |
| | Quarters of Offering | Credits | | Level | Class Meeting |
| | Wi Qtr (odd years). | 3 | G | 3 cl. |
| | Course Prerequisites |
| | Prereq: Grad standing. |
| | 3. | PREREQUISITES BY TOPIC |
| | Maxwell's equations, electromagnetic theorems, scattering |
| | Courses that require this as a direct prerequisite |
| | none |
| | 4. | TEXT(S) | Author(s) | Publisher |
| | Computational Electromagnetics (Texts in Applied | Bondeson, Rylander, and | Springer |
| | Mathematics), 2005 | Ingelstrom |
| | References (supplemental reading) |
| | [1] Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House: |
| | Boston, 2002. |
| | [2] J.L. Volakis, A. Chatterjee and L.C. Kempel, Finite Element Method for Electromagnetics, IEEE Press: New York, |
| | 1998. |
| | [3] P. Monk, Finite Element Methods for Maxwell's Equations, Oxford University Press, 2003. |
| | 5. | COURSE OBJECTIVES |
| | 1. Students will learn to apply discretization methods to Maxwell's equations. |
| | 2. Students will study and develop computational examples to analyze the accuracy and limitations of each discretization |
| | method. |
| | 3. Course material will be supplemented by reading from current technical literature. |
| | 6. | TOPICS AND (# OF LECTURES) |
| | Classification of partial differential equations and finite-difference approximations (2) |
| | Finite-difference time-domain (FDTD) method; complex media; dispersion and stability analysis (7) |
| | Finite-volume time-domain (FVTD) method; unconditional instabilities, consistency analysis (3) |
| | Absorbing boundary conditions (2) |
| | Introduction to differential forms and cell complexes (exterior derivative, boundary operator, incidence matrices, Hodge |
| | operator) (4) |
| | Whitney forms and the vector finite-element method (5) |
| | De Rham complex and spurious solutions; discrete Hodge decomposition (2) |
| | Higher order Whitney forms (2) |
| | Non-conformal discretizations (2) |
| | 7. | CLASS MEETING PATTERN | (For example, "3cl." means 3 48-min classes per week.) |
| | 3 cl. |
| | Monday, January 29, 2007 10:04 AM |
| | Page 1 of 2 |