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.

Catalog Description

The practical application of the finite-difference time-domain and
finite element techniques to electromagnetic problems. Computer
projects are required.

Textbook(s)

Computational Electrodynamics: The Finite-Difference Time-Domain Method, The Finite Element Method of Electrogmagnetics

Course Outcomes

Not Applicable

Strategic Performance Indicators (SPIs)

Not Applicable

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