Introduction to Computational Electromagnetics
(3-0-0-3)
CMPE Degree: This course is Not Applicable for the CMPE degree.
EE Degree: This course is Not Applicable for the EE degree.
Lab Hours: 0 supervised lab hours and 0 unsupervised lab hours.
Technical Interest Group(s) / Course Type(s): Electromagnetics
Course Coordinator:
Prerequisites: None.
Corequisites: None.
Catalog Description
The practical application of the finite-difference time-domain andfinite element techniques to electromagnetic problems. Computer
projects are required.
Textbook(s)
Computational Electrodynamics: The Finite-Difference Time-Domain Method, The Finite Element Method of ElectrogmagneticsCourse Outcomes
Not Applicable
Student Outcomes
In the parentheses for each Student Outcome:"P" for primary indicates the outcome is a major focus of the entire course.
“M” for moderate indicates the outcome is the focus of at least one component of the course, but not majority of course material.
“LN” for “little to none” indicates that the course does not contribute significantly to this outcome.
1. ( Not Applicable ) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics
2. ( Not Applicable ) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors
3. ( Not Applicable ) An ability to communicate effectively with a range of audiences
4. ( Not Applicable ) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts
5. ( Not Applicable ) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives
6. ( Not Applicable ) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
7. ( Not Applicable ) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies.
Strategic Performance Indicators (SPIs)
Not Applicable
Course Objectives
Topical Outline
1. Formulation of Electromagnetic Field Problems
2. Finite Difference Discretizations in 1D
a. Finite difference formulas, boundary conditions, error and dispersion analysis
3. Node Based Finite-Element Techniques in 1D and 2D
a. First-order and Higher-order Elements
b. Mesh generation and evaluation
c. Error and dispersion analysis
d. Application to Static Fields, Transient Fields, Time-harmonic fields
4. Finite-Difference Time-Domain Technique in 2D
a. Difference equations, Boundary Conditions, Material Interfaces
b. Stability Criteria, Absorbing & PML Boundary Conditions
c. Error and dispersion analysis
5. Edge Based Finite-Element Techniques for 2D & 3D
a. Nullspace of the vector Helmholtz operator
b. First-Order and Higher-Order Elements
c. Application to Low Frequency & Time-harmonic problems
6. Introduction to Integral Equation Formulations
a. Low-order discretization schemes
b. Integration of singular Green’s functions
c. Compression algorithms for dense linear systems
7. Sparse Matrix Storage; Linear System and Eigensystem Solution Techniques
8. Advanced Topics
a. Curvilinear meshes and representations
b. Domain decomposition
c. Adaptive refinement algorithms
d. Nonlinear problems