Lecture 1 - Overview of the Course

Lecture 2 - Fundamental principles

Lecture 3 - Steps followed in FEA

Lecture 4 - Weak Formulation

Lecture 5 - Weak Formulation : Example Problem

Lecture 6 - Assembling element level equations

Lecture 7 - Errors in FEA Solution

Lecture 8 - Measures of Errors in FEA Solution

Lecture 9 - Convergence and Accuracy of Solution - Part I

Lecture 10 - Convergence and Accuracy of Solution - Part II

Lecture 11 - Convergence - Part I

Lecture 12 - Convergence - Part II

Lecture 13 - Numerical Integration Schemes - Part I

Lecture 14 - Numerical Integration Schemes - Part II

Lecture 15 - Approximations - Part I

Lecture 16 - Approximations - Part II

Lecture 17 - Approximations - Part III

Lecture 18 - Gauss Quadrature

Lecture 19 - Gaussian Quadrature review

Lecture 20 - Gaussian Quadrature - Part II

Lecture 21 - Gaussian Quadrature - Part III

Lecture 22 - Newton-Cotes Quadrature

Lecture 23 - Two dimensional FEM problem

Lecture 24 - Two dimensional one variable FEM problem

Lecture 25 - 2D Finite element problems with single variable (Model equation)

Lecture 26 - 2D Finite element problems with single variable (Weak formulation)

Lecture 27 - Elemental level 2D finite element equations

Lecture 28 - Interpolation functions for 2D finite element problems

Lecture 29 - Interpolation functions for linear triangular elements - Part I

Lecture 30 - Interpolation functions for linear triangular elements - Part II

Lecture 31 - Interpolation functions for Triangular and Rectangular elements

Lecture 32 - Evaluation of Stiffness and Force matrices

Lecture 33 - Stiffness and Force matrices for Triangular element

Lecture 34 - Stiffness and Force matrices for Rectangular element

Lecture 35 - Boundary elements for Finite element Equations

Lecture 36 - Boundary integrals for Triangular element

Lecture 37 - Assembly of 2-D finite elements - Part I

Lecture 38 - Assembly of 2-D finite elements - Part II

Lecture 39 - 2-D Heat transfer problems - Part I

Lecture 40 - 2-D Heat transfer problems - Part II

Lecture 41 - Numerical integration schemes for 2-D problems

Lecture 42 - Jacobian and transformation matrix for 2-D problems

Lecture 43 - Numerical Integration Schemes for 2-D Problems : Closure

Lecture 44 - Post-processing

Lecture 45 - Plane Elasticity Problems

Lecture 46 - Plane Elasticity Problems : Development of Weak form

Lecture 47 - Plane Elasticity Problems : Element level equations

Lecture 48 - Plane Elasticity Problems : Closure