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Description
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)
Course Curriculum

 Lecture 01 – Motivation and Background Unlimited
 Lecture 02 – Finite Differencing Unlimited
 Lecture 03 – Finite Differencing (cont.) Unlimited
 Lecture 04 – Exercise 1: Laplace Equation Unlimited
 Lecture 05 – Exercise 2: Poisson Equation Unlimited
 Lecture 06 – Exercise 3: Heat Diffusion Equation Unlimited
 Lecture 07 – Lab Tour 1 Unlimited
 Lecture 08 – Summary: Finite Difference Method (FDM) I Unlimited

 Lecture 09 – Accuracy, Dispersion Unlimited
 Lecture 10 – Stability, Example Unlimited
 Lecture 11 – Exercise 4: Helmholtz Equation Unlimited
 Lecture 12 – Exercise 5: Capacitance Problem Unlimited
 Lecture 13 – Exercise 6: Dealing with Instability Issues Unlimited
 Lecture 14 – Summary: Finite Difference Method (FDM) II Unlimited

 Lecture 15 – Maxwell PDE System Unlimited
 Lecture 16 – Maxwell FDTD System Unlimited
 Lecture 17 – Maxwell FDFD System Unlimited
 Lecture 18 – Exercise 7: Maxwell Equations Unlimited
 Lecture 19 – Exercise 8: Modeling Examples for Maxwell Equations Unlimited
 Lecture 20 – Summary: Finite Difference Method (FDM) III Unlimited

 Lecture 21 – Introduction to Boundary Conditions Unlimited
 Lecture 22 – Absorbing Boundary Conditions (ABCs) Unlimited
 Lecture 23 – Berenger’s Perfectly Matched Layer Unlimited
 Lecture 24 – Modeling Practical Electromagnetic Problems using ABCs Unlimited
 Lecture 25 – Domain Truncation Techniques Unlimited
 Lecture 26 – Solving Maxwell Equations Unlimited
 Lecture 27 – Exercise 9: MATLAB Model Unlimited
 Lecture 28 – Lab Tour 2 Unlimited
 Lecture 29 – Summary: Boundary Conditions Unlimited

 Lecture 30 – Background, Calculus of Variations Unlimited
 Lecture 31 – Calculus of Variations Unlimited
 Lecture 32 – RayleighRitz Method Unlimited
 Lecture 33 – Method of Weighted Residuals Unlimited
 Lecture 34 – Exercise 10: RayleighRitz Method Unlimited
 Lecture 35 – Summary: Variational Methods Unlimited

 Lecture 36 – Background, FEM from Weighted Residuals Unlimited
 Lecture 37 – Formulation (Basis Function, Mapping) Unlimited
 Lecture 38 – Poisson Equation Unlimited
 Lecture 39 – Time Domain FEM (FETD) Unlimited
 Lecture 40 – Exercise 11: Capacitor Problem Unlimited
 Lecture 41 – Summary: Finite Element Method (FEM) I Unlimited

 Lecture 42 – Exercise 12: Coaxial Cable Problem Unlimited
 Lecture 43 – Exercise 13: Simple Coaxial Capacitor Unlimited
 Lecture 44 – Exercise 14: Coaxial Capacitor – High Order Approach Unlimited
 Lecture 45 – Exercise 15: PDE Tool Unlimited
 Lecture 46 – Exercise 16: PDE Tool (cont.) Unlimited
 Lecture 47 – Exercise 17: Dealing with Unstructured Grid – Triangular Domain Unlimited
 Lecture 48 – Summary: Finite Element Method (FEM) II Unlimited

 Lecture 49 – Background, Theoretical Aspects of Method of Moments Unlimited
 Lecture 50 – Green’s Function, Incident and Radiated Field, Pocklington Integral Equation Unlimited
 Lecture 51 – Galerkin Method, Integral Equation to Matrix Form Unlimited
 Lecture 52 – Exercise 18: Capacitance Problem Unlimited
 Lecture 53 – Exercise 19: Problem of Characteristic Impedance of a Transmission Line Unlimited
 Lecture 54 – Lab Tour 3 Unlimited
 Lecture 55 – Summary: Method of Moment (MoM) Unlimited

 Lecture 56 – Motivation and Background Unlimited
 Lecture 57 – Background Derivation of Eigenvalue Equation Unlimited
 Lecture 58 – Discretization, Maxwell Equation Unlimited
 Lecture 59 – Flux Calculation Unlimited
 Lecture 60 – Flux Calculation (cont.) Unlimited
 Lecture 61 – Domain Truncation Unlimited
 Lecture 62 – Lab Tour 4 Unlimited
 Lecture 63 – Summary: Finite Volume Time Domain Method (FVTD) I Unlimited

 Lecture 64 – Domain Truncation Techniques Unlimited
 Lecture 65 – Applications of Domain Truncation Techniques Unlimited
 Lecture 66 – Domain Truncation Techniques: Applications to Antennas Unlimited
 Lecture 67 – Fundamental Limitations of FVTD Method Unlimited
 Lecture 68 – Exercise 20: Finite Volume Time Domain (FVTD) Method Unlimited
 Lecture 69 – Lab Tour 5 Unlimited
 Lecture 70 – Summary: Finite Volume Time Domain (FVTD) Method II Unlimited

 Lecture 71 – Introduction and Motivation Unlimited
 Lecture 72 – Theoretical Background Unlimited
 Lecture 73 – Some of Topological Aspects Unlimited
 Lecture 74 – Cochains Unlimited
 Lecture 75 – Boundary Operator Unlimited
 Lecture 76 – Summary: Algebraic Topological Method (ATM) I Unlimited

 Lecture 77 – Space Orientations Unlimited
 Lecture 78 – Time Orientation Unlimited
 Lecture 79 – Mimetic (Finite Difference) Method Unlimited
 Lecture 80 – Exercise 21: Algebraic Topological Method Unlimited
 Lecture 81 – Exercise 22: Conical Capacitor Problem using ATM Unlimited
 Lecture 82 – Summary: Algebraic Topological Method Unlimited
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