Lecture 1 - Introduction to Finite Element Analysis(FEA)

Lecture 2 - Introduction of FEA, Nodes, Elements and Shape Functions

Lecture 3 - Nodes, Elements and Shape Functions

Lecture 4 - Polynomials as Shape Functions, Weighted Residuals, Elements and Assembly Level Equations

Lecture 5 - Types of Errors in FEA, Overall FEA Process and Convergence

Lecture 6 - Strengths of FE Method, Continuity conditions at Interfaces

Lecture 7 - Key concepts and terminologies

Lecture 8 - Weighted integral statements

Lecture 9 - Integration by parts - Review

Lecture 10 - Gradient and Divergence Theorems-Part - I

Lecture 11 - Gradient and Divergence Theorems Part - II

Lecture 12 - Functionals

Lecture 13 - Variational Operator

Lecture 14 - Weighted Integral and Weak Formulation

Lecture 15 - Weak Formulation

Lecture 16 - Weak Formulation and Weighted Integral : Principle of minimum potential energy

Lecture 17 - Variational Methods : Rayleigh Ritz Method

Lecture 18 - Rayleigh Ritz Method

Lecture 19 - Method of Weighted Residuals

Lecture 20 - Different types of Weighted Residual Methods - Part I

Lecture 21 - Different types of Weighted Residual Methods - Part II

Lecture 22 - FEA formulation for 2nd order BVP - Part I

Lecture 23 - FEA formulation for 2nd order BVP - Part II

Lecture 24 - Element Level Equations

Lecture 25 - 2nd Order Boundary Value Problem

Lecture 26 - Assembly of element equations

Lecture 27 - Assembly of element equations and implementation of boundary conditions

Lecture 28 - Assembly process and the connectivity matrix

Lecture 29 - Radially Symmetric Problems

Lecture 30 - One dimensional heat transfer

Lecture 31 - 1D-Heat conduction with convective effects : examples

Lecture 32 - Euler-Bernoulli beam

Lecture 33 - Interpolation functions for Euler-Bernoulli beam

Lecture 34 - Finite element equations for Euler-Bernoulli beam

Lecture 35 - Assembly equations for Euler-Bernoulli beam

Lecture 36 - Boundary conditions for Euler-Bernoulli beam

Lecture 37 - Shear deformable beams

Lecture 38 - Finite element formulation for shear deformable beams : Part - I

Lecture 39 - Finite element formulation for shear deformable beams : Part - II

Lecture 40 - Equal interpolation but reduced integration element

Lecture 41 - Eigenvalue problems

Lecture 42 - Eigenvalue problems : examples

Lecture 43 - Introduction to time dependent problems

Lecture 44 - Spatial approximation

Lecture 45 - Temporal approximation for parabolic problems : Part - I

Lecture 46 - Temporal approximation for parabolic problems : Part - II

Lecture 47 - Temporal approximation for hyperbolic problems

Lecture 48 - Explicit and implicit method, diagonalization of mass matrix, closure