E E 516
Computational Methods in Electromagnetics
Iowa State
University
Spring 2015
Time and Place: 1012 Coover Hall, Tuesday
and Thursday, 2:10-3:30pm
Instructor:
Prof. Jiming Song
Office: 2130 Coover
Hall
Phone: 515-294-8396 Fax:
515-294-8432
Email: jisong@iastate.edu
Website: home.eng.iastate.edu/~jisong/ee516
Office Hours: 1-2pm, Monday and Wednesday, 2130 Coover Hall
Course Description
(3-0)
Cr. 3. F. Prereq: E E 311
Maxwell's
equations. Differential equation based methods. Finite difference and finite
difference time domain methods, boundary conditions. Finite element method and
applications to the analysis of practical devices. Integral equation based
methods. Electric and magnetic field integral equations. Matrix solvers. Fast
solution methods.
Textbook, References, and Notes
- Textbook:
Numerical Techniques in Electromagnetics, M. Sadiku, CRC Press, 2001, ISBN
0-8493-1395-3. http://www.crcnetbase.com.proxy.lib.iastate.edu:2048/isbn/978-0-8493-1395-0
- Theory
and Computation of Electromagnetic Fields, J. M. Jin, John Wiley, 2010.
- K. Warnick, Numerical methods for
engineering: an introduction using MATLAB and computational
electromagnetics examples, SciTech, 2011.
- FDTD
Method for Electromagnetics, K. S. Kunz and R. J. Luebbers, CRC Press,
1993.
- Computational
Electrodynamics: The finite-difference time-domain method, A. Taflove,
Artech House, 1995, and A. Taflove and S. Hagness, Artech House, 2000
- Field
Computation by Moment Methods, R. F. Harrington, Macmillan,
New York, 1968.
- Computational
Methods for Electromagnetics, Peterson, Ray, and Mittra, IEEE Press, 1998.
- Finite
Element Methods in Electromagnetics, J. M. Jin, John Wiley, 1993 &
2002.
- Class
notes
Learning Objectives
- Apply
finite difference to discretize partial differential equation
- Apply
different types of boundary conditions and initial conditions to
electromagnetic problems
- Write
programs for both finite difference in frequency and time domains
- Solve
matrix equations using both direct and iterative solvers
- Derive
integral equations with boundary conditions and Green functions, find
which type of integral equations
- Discretize
integral equations using the method of moments and calculate the matrix
elements for different basis functions
- Apply variational principles to solve boundary value
problems using both Rayleigh-Ritz and weighted residual methods
- Discretize
variational using finite element method and
apply FEM to both electrostatic and electrodynamic problems
- Apply
higher order basis functions in FEM for fast convergence
- Apply
fast multipole method and other algorithms to accelerate the solutions of
integral equations
Homework, Projects for Coding and Reports, and Final
Presentations: Homework and project assignments will be given about every
week and are due about one or two weeks later. There will be NO exams.
The last homework/project assignment is due in the last class
(dead week).
Tentative Course Schedule
- Introduction
and review of Maxwell's equations in time and frequency domains.
- Finite
Difference Time Domain (FDTD) Method
- Partial
differential equations (PDEs) and finite difference
- 2
and 3 dimensions
- Boundary
conditions and perfectly matched layers
- Integral
Equation Based Methods
- Volume
and Surface Equivalence
- Green's
functions
- Method
of moments (MoM)
- Direct
and iterative solvers
- Finite
Element Method
- Variational
methods and boundary value problems (BVPs)
- Basis
functions and formulation
- Static
and dynamic
- Introduction
to Fast Algorithms
Final Grade Breakdown:
Homework
--------------------- 30%
Projects
and Presentations -- 70%
Iowa State University
is committed to assuring that all educational activities are free from
discrimination and harassment based on disability status. All students
requesting accommodations are required to meet with staff in Student Disability
Resources (SDR) to establish eligibility. A Student Academic Accommodation
Request (SAAR) form will be provided to eligible students. The provision of
reasonable accommodations in this course will be arranged after timely delivery
of the SAAR form to the instructor. Students are encouraged to deliver
completed SAAR forms as early in the semester as possible. SDR, a unit in the
Dean of Students Office, is located in room 1076, Student Services Building or
online at www.dso.iastate.edu/dr/. Contact SDR by e-mail at
disabilityresources@iastate.edu or by phone at 515-294-7220 for additional
information.