| | Standard Course Syllabus | Course Supervisor | Date of Approval |
| | Dept. of Electrical and Computer Engineering | Volakis | 1/07 |
| | 715 | Introduction to Numerical Methods for Electromagnetics |
| | 2. | CATALOG DESCRIPTION |
| | Provides an introduction to a set of numerical methods (integral equation, finite difference and finite element methods) used |
| | to solve electromagnetic-related problems. |
| | Quarters of Offering | Credits | | Level | Class Meeting |
| | Au Qtr. | 3 | U G | 3 cl. |
| | Course Prerequisites |
| | Prereq: 301, and Math 568 or 571; or grad standing. Not open to students with credit for 694Y. |
| | 3. | PREREQUISITES BY TOPIC |
| | MATLAB or similar programming knowledge, basic concepts relating to matrix system solutions, numerical integration, and |
| | interpolation |
| | Courses that require this as a direct prerequisite |
| | 813, 814, 817 |
| | 4. | Text(s) and Other Course Materials | Author(s) | Publisher |
| | Numerical Techniques in Electromagnetics, 2nd ed., 2000. | Sadiku, M. | CRC Press LLC |
| | ISBN: 0-849-31395-3 |
| | optional text: Finite Element Method for Electromagnetics, | Volakis, Kempel, Chatterjee | Wiley |
| | IEEE Press, 1998 |
| | ISBN: 0-780-33425-6 |
| | References (supplemental reading) |
| | [1] R. Burden and J. Faires, Numerical Analysis, 5th ed., PWS Pub. Co. Boston, 1993. |
| | [2] W. Press, S. Teukolsky,W. Vetterling, B. Flannery, Numerical Recipes in FORTRAN, 2nd ed., Cambridge Press, 1992. |
| | 5. | COURSE OBJECTIVES |
| | 1. Students will learn basic numerical methods and their application to engineering problems. (Criterion 3(a)) |
| | 2. Students will gain experience in using numerical methods in solving practical engineering problems. (Criterion 3(k)) |
| | 3. Students will implement, test, and document a computer program for numerical solution of a practical engineering |
| | problem. (Criterion 3(b), (g), (k)) |
| | 6. | TOPICS AND (# OF LECTURES) |
| | Review and Introduction to Numerical Analysis: example boundary value problems; numerical tessellation, interpolation and |
| | shape functions; splines, extrapolation method; numerical integration and differentiation; linear system solutions (direct and |
| | iterative); sparse system storage schemes (9) |
| | |
| | One- and two-dimensional finite differences: iterative solution; cavity field computations; field mapping, equipotentials; |
| | capacitance computations for shielded transmission lines Microsoft Excel (spreadsheet); microstrip line analysis and material |
| | interface treatment; magnetic fields in motor windings; Finite difference time domain method and the Yee marching scheme |
| | (2D); gridding and stability conditions; absorbing boundary conditions (6) |
| | |
| | One- and two- dimensional finite element method: linear and quadratic shape functions, meshing; system construction and |
| | assembly; element matrix for the wave equation; boundary condition enforcement/condensation of boundary conditions; |
| | absorbing boundary conditions; perfectly matched layers(PML); boundary integral truncation; mesh generation issues; |
| | capacitance, inductance, propagation constant computations; shielded and open transmission lines; Inhomogeneous guides |
| | and cavities; magnetic circuits (permanent magnets, windings) (9) |
| | |
| | Integral equation methods: boundary integral equations (2D and 3D); weighted residual method and system |
| | construction;capacitance computations using a supplied PC program; modeling various transmission lines; magnetic field and |
| | inductance computations (6) |
| | Thursday, August 14, 2008 09:19 AM |
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