Computational Electromagnetics and Applications. Instructor: Prof. Krish Sankaran, Department of Electrical engineering, IIT Bombay. Accurately predicting the behaviour of electromagnetic systems is a key element in developing novel applications. Computational electromagnetics is an interesting domain bridging theory and experiment. This course is for people who are interested in deepening their knowledge about modelling electromagnetic systems and who wanted to build a strong foundation in the underlying physics. In this course, in addition to important modelling techniques widely used for electromagnetic applications, we will also introduce algebraic topology based modelling method which is not widely known to engineering community.
(from nptel.ac.in)
| Finite Difference Method (FDM) I |
| Lecture 01 - Motivation and Background |
| Lecture 02 - Finite Differencing |
| Lecture 03 - Finite Differencing (cont.) |
| Lecture 04 - Exercise 1: Laplace Equation |
| Lecture 05 - Exercise 2: Poisson Equation |
| Lecture 06 - Exercise 3: Heat Diffusion Equation |
| Lecture 07 - Lab Tour 1 |
| Lecture 08 - Summary: Finite Difference Method (FDM) I |
| Finite Difference Method (FDM) II |
| Lecture 09 - Accuracy, Dispersion |
| Lecture 10 - Stability, Example |
| Lecture 11 - Exercise 4: Helmholtz Equation |
| Lecture 12 - Exercise 5: Capacitance Problem |
| Lecture 13 - Exercise 6: Dealing with Instability Issues |
| Lecture 14 - Summary: Finite Difference Method (FDM) II |
| Finite Difference Method (FDM) III |
| Lecture 15 - Maxwell PDE System |
| Lecture 16 - Maxwell FDTD System |
| Lecture 17 - Maxwell FDFD System |
| Lecture 18 - Exercise 7: Maxwell Equations |
| Lecture 19 - Exercise 8: Modeling Examples for Maxwell Equations |
| Lecture 20 - Summary: Finite Difference Method (FDM) III |
| Boundary Conditions |
| Lecture 21 - Introduction to Boundary Conditions |
| Lecture 22 - Absorbing Boundary Conditions (ABCs) |
| Lecture 23 - Berenger's Perfectly Matched Layer |
| Lecture 24 - Modeling Practical Electromagnetic Problems using ABCs |
| Lecture 25 - Domain Truncation Techniques |
| Lecture 26 - Solving Maxwell Equations |
| Lecture 27 - Exercise 9: MATLAB Model |
| Lecture 28 - Lab Tour 2 |
| Lecture 29 - Summary: Boundary Conditions |
| Variational Methods |
| Lecture 30 - Background, Calculus of Variations |
| Lecture 31 - Calculus of Variations |
| Lecture 32 - Rayleigh-Ritz Method |
| Lecture 33 - Method of Weighted Residuals |
| Lecture 34 - Exercise 10: Rayleigh-Ritz Method |
| Lecture 35 - Summary: Variational Methods |
| Finite Element Method (FEM) I |
| Lecture 36 - Background, FEM from Weighted Residuals |
| Lecture 37 - Formulation (Basis Function, Mapping) |
| Lecture 38 - Poisson Equation |
| Lecture 39 - Time Domain FEM (FETD) |
| Lecture 40 - Exercise 11: Capacitor Problem |
| Lecture 41 - Summary: Finite Element Method (FEM) I |
| Finite Element Method (FEM) II |
| Lecture 42 - Exercise 12: Coaxial Cable Problem |
| Lecture 43 - Exercise 13: Simple Coaxial Capacitor |
| Lecture 44 - Exercise 14: Coaxial Capacitor - High Order Approach |
| Lecture 45 - Exercise 15: PDE Tool |
| Lecture 46 - Exercise 16: PDE Tool (cont.) |
| Lecture 47 - Exercise 17: Dealing with Unstructured Grid - Triangular Domain |
| Lecture 48 - Summary: Finite Element Method (FEM) II |
| Method of Moment (MoM) |
| Lecture 49 - Background, Theoretical Aspects of Method of Moments |
| Lecture 50 - Green's Function, Incident and Radiated Field, Pocklington Integral Equation |
| Lecture 51 - Galerkin Method, Integral Equation to Matrix Form |
| Lecture 52 - Exercise 18: Capacitance Problem |
| Lecture 53 - Exercise 19: Problem of Characteristic Impedance of a Transmission Line |
| Lecture 54 - Lab Tour 3 |
| Lecture 55 - Summary: Method of Moment (MoM) |
| Finite Volume Time Domain (FVTD) Method I and II |
| Lecture 56 - Motivation and Background |
| Lecture 57 - Background Derivation of Eigenvalue Equation |
| Lecture 58 - Discretization, Maxwell Equation |
| Lecture 59 - Flux Calculation |
| Lecture 60 - Flux Calculation (cont.) |
| Lecture 61 - Domain Truncation |
| Lecture 62 - Lab Tour 4 |
| Lecture 63 - Summary: Finite Volume Time Domain Method (FVTD) I |
| Finite Volume Time Domain (FVTD) Method III |
| Lecture 64 - Domain Truncation Techniques |
| Lecture 65 - Applications of Domain Truncation Techniques |
| Lecture 66 - Domain Truncation Techniques: Applications to Antennas |
| Lecture 67 - Fundamental Limitations of FVTD Method |
| Lecture 68 - Exercise 20: Finite Volume Time Domain (FVTD) Method |
| Lecture 69 - Lab Tour 5 |
| Lecture 70 - Summary: Finite Volume Time Domain (FVTD) Method II |
| Algebraic Topological Method (ATM) I |
| Lecture 71 - Introduction and Motivation |
| Lecture 72 - Theoretical Background |
| Lecture 73 - Some of Topological Aspects |
| Lecture 74 - Cochains |
| Lecture 75 - Boundary Operator |
| Lecture 76 - Summary: Algebraic Topological Method (ATM) I |
| Algebraic Topological Method (ATM) II, Mimetic Method |
| Lecture 77 - Space Orientations |
| Lecture 78 - Time Orientation |
| Lecture 79 - Mimetic (Finite Difference) Method |
| Lecture 80 - Exercise 21: Algebraic Topological Method |
| Lecture 81 - Exercise 22: Conical Capacitor Problem using ATM |
| Lecture 82 - Summary: Algebraic Topological Method |