NOC:Basics of Finite Element Analysis


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