1Lec 1: Functional, First variation, Euler Lagrange equation; Several Dependent variablesDownload
2Lec 2: Functional with higher order derivatives; Variational statementDownload
3Lec 3: Differential equation, Variational statement and Minimization problem; Rayleigh-Ritz methodDownload
4Lec 4: FEM steps: Explained with discrete linear springs; Gaussian Quadrature rule for integrationDownload
5Lec 5: Solving one Ordinary Differential Equation using Linear Finite ElementDownload
6Lec 6: Solving one Ordinary Differential Equation using Quadratic Finite ElementDownload
7Lec 7: Bar Element: Elemental equation; Matlab Implementation with ExampleDownload
8Lec 8: Bar Element: Postprocessing; Comparison with Analytical Solution; Bar with linear springsDownload
9Lec 9: Truss Element: Elemental equation; Matlab Implementation with ExampleDownload
10Lec 10: Beam Element: Variational statement; Hermite shape functionDownload
11Lec 11: Beam Element: Elemental equation; Matlab implementation with ExampleDownload
12Lec 12: Beam Element: Matlab implementation for the example with Non-uniform distributed loadDownload
13Lec 13: Frame Element: Derivation of elemental equation in global reference frameDownload
14Lec 14: Frame Element: Matlab implementation with one ExampleDownload
15Lec 15: Generalization of Geometry data; Stiffness matrix, Load vector formation at element levelDownload
16Lec 16: Generalization of Assembly, Imposition of Boundary condition and Load informationDownload
17Lec 17: Indicial Notation: Summation convention, Kronecker delta, Permutation symbolDownload
18Lec 18: Second order tensor; Gradient, Divergence, Curl and Laplacian in Indicial notation Download
19Lec 19: Gauss Divergence theorem and its application in Heat transfer and Structural analysisDownload
20Lec 20: Derivation of weak form of 2D steady-state heat conduction problemDownload
21Lec 21: Triangular element, calculating element stiffness and element force vectorDownload
23Lec 23: Numerical integration, Neumann boundary, and higher order shape functionsDownload
25Lec 25: Development of a MATLAB code for solving 2D steady-state heat conduction problemDownload
26Lec 26: Demonstration of the MATLAB codeDownload
27Lec 27: Elasticity problems in two dimension and obtaining the weak formDownload
28Lec 28: Deriving element stiffness matrix and element force vector, numerical exampleDownload
29Lec 29: Development of a MATLAB code for solving planar elasticity problemsDownload
31Lec 31: Solving eigenvalue problem in bar and beam, writing FEM code in MATLABDownload
32Lec 32: Solving eigenvalue problem of membrane, writing FEM code in MATLABDownload
33Lec 33: Solving transient problems (parabolic type)Download
34Lec 34: Solving transient problems (hyperbolic type)Download
35Lec 35: Solving elasticity problems in 3D using FEM, SolversDownload

Sl.No Chapter Name English
1Lec 1: Functional, First variation, Euler Lagrange equation; Several Dependent variablesDownload
To be verified
2Lec 2: Functional with higher order derivatives; Variational statementDownload
To be verified
3Lec 3: Differential equation, Variational statement and Minimization problem; Rayleigh-Ritz methodDownload
To be verified
4Lec 4: FEM steps: Explained with discrete linear springs; Gaussian Quadrature rule for integrationDownload
To be verified
5Lec 5: Solving one Ordinary Differential Equation using Linear Finite ElementDownload
To be verified
6Lec 6: Solving one Ordinary Differential Equation using Quadratic Finite ElementDownload
To be verified
7Lec 7: Bar Element: Elemental equation; Matlab Implementation with ExampleDownload
To be verified
8Lec 8: Bar Element: Postprocessing; Comparison with Analytical Solution; Bar with linear springsDownload
To be verified
9Lec 9: Truss Element: Elemental equation; Matlab Implementation with ExampleDownload
To be verified
10Lec 10: Beam Element: Variational statement; Hermite shape functionDownload
To be verified
11Lec 11: Beam Element: Elemental equation; Matlab implementation with ExampleDownload
To be verified
12Lec 12: Beam Element: Matlab implementation for the example with Non-uniform distributed loadDownload
To be verified
13Lec 13: Frame Element: Derivation of elemental equation in global reference frameDownload
To be verified
14Lec 14: Frame Element: Matlab implementation with one ExampleDownload
To be verified
15Lec 15: Generalization of Geometry data; Stiffness matrix, Load vector formation at element levelDownload
To be verified
16Lec 16: Generalization of Assembly, Imposition of Boundary condition and Load informationDownload
To be verified
17Lec 17: Indicial Notation: Summation convention, Kronecker delta, Permutation symbolDownload
To be verified
18Lec 18: Second order tensor; Gradient, Divergence, Curl and Laplacian in Indicial notation Download
To be verified
19Lec 19: Gauss Divergence theorem and its application in Heat transfer and Structural analysisDownload
To be verified
20Lec 20: Derivation of weak form of 2D steady-state heat conduction problemPDF unavailable
21Lec 21: Triangular element, calculating element stiffness and element force vectorPDF unavailable
22Lec 22: Numerical example, assembly, mappingPDF unavailable
23Lec 23: Numerical integration, Neumann boundary, and higher order shape functionsPDF unavailable
24Lec 24: Quadrilateral element, Lagrange shape functions, Serendipity elementsPDF unavailable
25Lec 25: Development of a MATLAB code for solving 2D steady-state heat conduction problemPDF unavailable
26Lec 26: Demonstration of the MATLAB codePDF unavailable
27Lec 27: Elasticity problems in two dimension and obtaining the weak formPDF unavailable
28Lec 28: Deriving element stiffness matrix and element force vector, numerical examplePDF unavailable
29Lec 29: Development of a MATLAB code for solving planar elasticity problemsPDF unavailable
30Lec 30: Superconvergent Patch Recovery, error estimator, adaptive refinementPDF unavailable
31Lec 31: Solving eigenvalue problem in bar and beam, writing FEM code in MATLABPDF unavailable
32Lec 32: Solving eigenvalue problem of membrane, writing FEM code in MATLABPDF unavailable
33Lec 33: Solving transient problems (parabolic type)PDF unavailable
34Lec 34: Solving transient problems (hyperbolic type)PDF unavailable
35Lec 35: Solving elasticity problems in 3D using FEM, SolversPDF unavailable

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