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Computational Electromagnetics and Applications

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)

Lecture 10 - Stability, Example


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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