Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. Nachiketa Tiwari
NPTEL Co-ordinating Institute : IIT Kanpur
NPTEL Lecture Count : 48
NPTEL Course Size : 1.7 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
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