Finite Element Method and Computational Structural Dynamics

Lecture 01 Introduction to Scientific Computations I

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31 min

Lecture 02 Introduction to Scientific Computations II

Lecture 03 Basic Concepts of Linear Algebra

Lecture 04 Polynomial Interpolation and Numerical Quadrature I

Lecture 05 Polynomial Interpolation and Numerical Quadrature II

Lecture 06 Polynomial Interpolation and Numerical Quadrature-III

Lecture 07 Polynomial Interpolation and Numerical Quadrature IV

Lecture 08 Mathematical Modelling and Approximate Solutions I

Lecture 09 Mathematical Modelling and Approximate Solutions II

Lecture 10 Mathematical Modelling and Approximate Solutions III

Lecture 11 Approximation via Variational Principles

Lecture 12 Introduction to the Finite Element Concept

Lecture 13 Finite Elements of C^0 Continuity in 1-D- I

Lecture 14 Finite Elements of C^0 Continuity in 1-D - II

Lecture 15 Finite Elements of C^0 Continuity in 1-D - III

Lecture 16 Finite Elements of C^0 Continuity in 1 D IV

Lecture 17 Finite Elements of C^1 Continuity in 1 D I

Lecture 18 Finite Elements of C^1 Continuity in 1 D II

Lecture 19 Finite Elements of C^0 Continuity in 2 D & 3 D I

Lecture 20 Finite Elements of C^0 Continuity in 2 D & 3 D II

Lecture 21 Finite Elements of C^0 Continuity in 2 D & 3 D III

Lecture 22 Finite Elements of C^0 Continuity in 2 D & 3 D IV

Lecture 23 Finite Elements of C^0 Continuity in 2 D & 3 D V

Lecture 24 Finite Elements of C^0 Continuity in 2 D & 3 D VI

Lecture 25 Finite Elements of C^0 Continuity in 2 D & 3 D VII

Lecture 26 Finite Elements of C^0 Continuity in 2 D & 3 D VIII

Lecture 27 Finite Elements of C^0 Continuity in 2 D & 3 D IX

Lecture 28 Finite Elements of C^0 Continuity in 2 D & 3 D X

Lecture 29 Finite Elements of C^0 Continuity in 2 D & 3 D XI

Lecture 30 Finite Elements of C^0 Continuity in 2 D & 3 D XII

Lecture 31 Mapped Elements I

Lecture 32 Mapped Elements – II

Lecture 33 Mapped Elements – III

Lecture 34 Mapped Elements – IV

Lecture 35 Mapped Elements – V

Lecture 36 Variational Crimes

Lecture 37 The Patch Test

Lecture 38 Finite Elements for Plates and Shells – I

Lecture 39 Finite Elements for Plates and Shells – II

Lecture 40 Finite Elements for Plates and Shells – III

Lecture 41 The Time Dimension and Dynamic Effects I

Lecture 42 The Time Dimension and Dynamic Effects II

Lecture 43 Solution of Linear Simultaneous Equations I

Lecture 44 Solution of Linear Simultaneous Equations II

Lecture 45 Solution of Linear Simultaneous Equations III

Lecture 46 Solution of Linear Simultaneous Equations IV

Lecture 47 The Algebraic Eigenvalue Problem I

Lecture 48 The Algebraic Eigenvalue Problem II

Lecture 49 The Algebraic Eigenvalue Problem III

Lecture 50 The Algebraic Eigenvalue Problem IV

Lecture 51: Heterogeneous Reactors - I

Lecture 52: Heterogeneous Reactors - II

Lecture 53: Ground Water Extraction

Lecture 54: 2D Model Using MATLAB

Lecture 55: Phase Portrait of 1D Models Using R

Lecture 56: Phase Portrait of 2D Models Using R

Lecture 57: Simulations l

Lecture 58: Simulation-II

Lecture 59: Application: Climate change and GDP – I

Lecture 60: Application: Climate change and GDP – II