| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Lec 1: Functional, First variation, Euler Lagrange equation; Several Dependent variables | Download |
| 2 | Lec 2: Functional with higher order derivatives; Variational statement | Download |
| 3 | Lec 3: Differential equation, Variational statement and Minimization problem; Rayleigh-Ritz method | Download |
| 4 | Lec 4: FEM steps: Explained with discrete linear springs; Gaussian Quadrature rule for integration | Download |
| 5 | Lec 5: Solving one Ordinary Differential Equation using Linear Finite Element | Download |
| 6 | Lec 6: Solving one Ordinary Differential Equation using Quadratic Finite Element | Download |
| 7 | Lec 7: Bar Element: Elemental equation; Matlab Implementation with Example | Download |
| 8 | Lec 8: Bar Element: Postprocessing; Comparison with Analytical Solution; Bar with linear springs | Download |
| 9 | Lec 9: Truss Element: Elemental equation; Matlab Implementation with Example | Download |
| 10 | Lec 10: Beam Element: Variational statement; Hermite shape function | Download |
| 11 | Lec 11: Beam Element: Elemental equation; Matlab implementation with Example | Download |
| 12 | Lec 12: Beam Element: Matlab implementation for the example with Non-uniform distributed load | Download |
| 13 | Lec 13: Frame Element: Derivation of elemental equation in global reference frame | Download |
| 14 | Lec 14: Frame Element: Matlab implementation with one Example | Download |
| 15 | Lec 15: Generalization of Geometry data; Stiffness matrix, Load vector formation at element level | Download |
| 16 | Lec 16: Generalization of Assembly, Imposition of Boundary condition and Load information | Download |
| 17 | Lec 17: Indicial Notation: Summation convention, Kronecker delta, Permutation symbol | Download |
| 18 | Lec 18: Second order tensor; Gradient, Divergence, Curl and Laplacian in Indicial notation | Download |
| 19 | Lec 19: Gauss Divergence theorem and its application in Heat transfer and Structural analysis | Download |
| 20 | Lec 20: Derivation of weak form of 2D steady-state heat conduction problem | Download |
| 21 | Lec 21: Triangular element, calculating element stiffness and element force vector | Download |
| 22 | Lec 22: Numerical example, assembly, mapping | Download |
| 23 | Lec 23: Numerical integration, Neumann boundary, and higher order shape functions | Download |
| 24 | Lec 24: Quadrilateral element, Lagrange shape functions, Serendipity elements | Download |
| 25 | Lec 25: Development of a MATLAB code for solving 2D steady-state heat conduction problem | Download |
| 26 | Lec 26: Demonstration of the MATLAB code | Download |
| 27 | Lec 27: Elasticity problems in two dimension and obtaining the weak form | Download |
| 28 | Lec 28: Deriving element stiffness matrix and element force vector, numerical example | Download |
| 29 | Lec 29: Development of a MATLAB code for solving planar elasticity problems | Download |
| 30 | Lec 30: Superconvergent Patch Recovery, error estimator, adaptive refinement | Download |
| 31 | Lec 31: Solving eigenvalue problem in bar and beam, writing FEM code in MATLAB | Download |
| 32 | Lec 32: Solving eigenvalue problem of membrane, writing FEM code in MATLAB | Download |
| 33 | Lec 33: Solving transient problems (parabolic type) | Download |
| 34 | Lec 34: Solving transient problems (hyperbolic type) | Download |
| 35 | Lec 35: Solving elasticity problems in 3D using FEM, Solvers | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Lec 1: Functional, First variation, Euler Lagrange equation; Several Dependent variables | Download To be verified |
| 2 | Lec 2: Functional with higher order derivatives; Variational statement | Download To be verified |
| 3 | Lec 3: Differential equation, Variational statement and Minimization problem; Rayleigh-Ritz method | Download To be verified |
| 4 | Lec 4: FEM steps: Explained with discrete linear springs; Gaussian Quadrature rule for integration | Download To be verified |
| 5 | Lec 5: Solving one Ordinary Differential Equation using Linear Finite Element | Download To be verified |
| 6 | Lec 6: Solving one Ordinary Differential Equation using Quadratic Finite Element | Download To be verified |
| 7 | Lec 7: Bar Element: Elemental equation; Matlab Implementation with Example | Download To be verified |
| 8 | Lec 8: Bar Element: Postprocessing; Comparison with Analytical Solution; Bar with linear springs | Download To be verified |
| 9 | Lec 9: Truss Element: Elemental equation; Matlab Implementation with Example | Download To be verified |
| 10 | Lec 10: Beam Element: Variational statement; Hermite shape function | Download To be verified |
| 11 | Lec 11: Beam Element: Elemental equation; Matlab implementation with Example | Download To be verified |
| 12 | Lec 12: Beam Element: Matlab implementation for the example with Non-uniform distributed load | Download To be verified |
| 13 | Lec 13: Frame Element: Derivation of elemental equation in global reference frame | Download To be verified |
| 14 | Lec 14: Frame Element: Matlab implementation with one Example | Download To be verified |
| 15 | Lec 15: Generalization of Geometry data; Stiffness matrix, Load vector formation at element level | Download To be verified |
| 16 | Lec 16: Generalization of Assembly, Imposition of Boundary condition and Load information | Download To be verified |
| 17 | Lec 17: Indicial Notation: Summation convention, Kronecker delta, Permutation symbol | Download To be verified |
| 18 | Lec 18: Second order tensor; Gradient, Divergence, Curl and Laplacian in Indicial notation | Download To be verified |
| 19 | Lec 19: Gauss Divergence theorem and its application in Heat transfer and Structural analysis | Download To be verified |
| 20 | Lec 20: Derivation of weak form of 2D steady-state heat conduction problem | PDF unavailable |
| 21 | Lec 21: Triangular element, calculating element stiffness and element force vector | PDF unavailable |
| 22 | Lec 22: Numerical example, assembly, mapping | PDF unavailable |
| 23 | Lec 23: Numerical integration, Neumann boundary, and higher order shape functions | PDF unavailable |
| 24 | Lec 24: Quadrilateral element, Lagrange shape functions, Serendipity elements | PDF unavailable |
| 25 | Lec 25: Development of a MATLAB code for solving 2D steady-state heat conduction problem | PDF unavailable |
| 26 | Lec 26: Demonstration of the MATLAB code | PDF unavailable |
| 27 | Lec 27: Elasticity problems in two dimension and obtaining the weak form | PDF unavailable |
| 28 | Lec 28: Deriving element stiffness matrix and element force vector, numerical example | PDF unavailable |
| 29 | Lec 29: Development of a MATLAB code for solving planar elasticity problems | PDF unavailable |
| 30 | Lec 30: Superconvergent Patch Recovery, error estimator, adaptive refinement | PDF unavailable |
| 31 | Lec 31: Solving eigenvalue problem in bar and beam, writing FEM code in MATLAB | PDF unavailable |
| 32 | Lec 32: Solving eigenvalue problem of membrane, writing FEM code in MATLAB | PDF unavailable |
| 33 | Lec 33: Solving transient problems (parabolic type) | PDF unavailable |
| 34 | Lec 34: Solving transient problems (hyperbolic type) | PDF unavailable |
| 35 | Lec 35: Solving elasticity problems in 3D using FEM, Solvers | PDF unavailable |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Not Available |
| 2 | Bengali | Not Available |
| 3 | Gujarati | Not Available |
| 4 | Hindi | Not Available |
| 5 | Kannada | Not Available |
| 6 | Malayalam | Not Available |
| 7 | Marathi | Not Available |
| 8 | Tamil | Not Available |
| 9 | Telugu | Not Available |