week 1
Day 1 Module 1 : Introduction to Finite Element Methods
Day 2 Module 2 : Consideration of Mathematical Models Appears in Science and Engineering
Day 3 Module 3 : Comparison Between Finite Element Methods With Finite Difference
Methods (FDMs)
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 2
Day 1 Module 4 : Methods of Weighted Residuals
Day 2 Module 5 : Collocation Methods
Day 3 Module 6 : Point and Subdomain Collocation Methods
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 3
Day 1 Module 7 : Least Square Method
Day 2 Module 8 : Galerkin Method
Day 3 Module 9 : Ritz Method
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 4
Day 1 Module 10 : Applications of Rayleigh-Ritz Method
Day 2 Module 11 : Variational Methods
Day 3 Module 12 : Weak Derivatives
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 5
Day 1 Module 13 : Examples of Weak Derivatives
Day 2 Module 14 : Types of Boundary Conditions
Day 3 Module 15 : Linear and Bilinear Functionals
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 6
Day 1 Module 16 : Quadratic Functionals and Comparison Between
Galerkin and Rayleigh-Ritz Method
Day 2 Module 17 : Applications of FEM: Solving Nodal Displacement of the Rod
Day 3 Module 18 : Constructions of Linear Elements in FEM
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 7
Day 1 Module 19 : One Dimensional Linear Shape Functions and Quadratic Elements
Day 2 Module 20 : Calculating Temperature Distribution for a Model Poisson Problem
Day 3 Module 21 : General Formulas for Solving One Dimensional Problems in FEM and Examples
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 8
Day 1 Module 22 : Calculation of Nodal Displacement, Element Stresses and
Reaction Forces for a Steel Stepped Bar
Day 2 Module 23: Calculation of Stiffness Matrix, Nodal Displacement for a Taper Steel Plate
Problem
Day 3 Module 24 : Solving Mathematical Model of a Tapered Bar Using FEM in 1D
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 9
Day 1 Module 25 : Finite Element Meshes in One and Two Dimension
Day 2 Module 26 : Three Dimensional Finite Elements, Finite Element Models for
Second Order Differential Equations
Day 3 Module 27: Constructions of Weak or Variational Form for Model Second Order
Differential Equations
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 10
Day 1 Module 28 : Linear and Quadratic Interpolation Functions
Day 2 Module 29 : Finite Element Formulation for Second Order Differential Equations
Day 3 Module 30 : Derivation of Stiffness Matrix and the Matrix Equation for
Linear and Quadratic Elements
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 11
Day 1 Module 31 : Connectivity of Elements, Serendipity Elements in FEM
Day 2 Module 32 : Shape Functions for Corner Nodes of Eight Noded Serendipity Elements
Day 3 Module 33: Shape Functions for Middle Nodes of Eight Noded Serendipity Elements,
Isoparametric Elements
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 12
Day 1 Module 34 : Types of Isoparametric Elements
Day 2 Module 35 : Numerical Example on Coordinate Transformation in Isoparametric Formulation
Day 3 Module 36 : Solving Second Order Differential Equations in One Dimension,
Numerical Integration
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 13
Day 1 Module 37 : Gauss Quadrature Method, Newton-Cotes Quadrature Method
Day 2 Module 38 : Two Dimensional Partial Differential Equations Under Different
Geometric Conditions
Day 3 Module 39 : Weak Form of Two Dimensional Partial Differential Equations
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 14
Day 1 Module 40 : Finite element model for Two-Dimensional PDE, Interpolation Functions
for Triangular Element
Day 2 Module 41 : Interpolation Functions for Linear Rectangular Element
Day 3 Module 42 : Quadratic Elements, Evaluation of Element Matrices and Vectors
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week15
Day 1 Module 43 : Element Matrices of a Linear Triangular Element
Day 2 Module 44 : Axisymmetric Problems, Various Types of Triangular Meshes
Day 3 Module 45 : Evaluation of Shape Functions for Two-Dimensional Constant
Strain Triangle (CST) Element
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 16
Day 1 Module 46 : Evaluation of Stiffness Matrix for Two-Dimensional CST element
Day 2 Module 47 : Evaluation of Stiffness Matrix for an Axisymmetric Element
Day 3 Module 48 : Calculation of Stress-Strain Relationship Matrix, Strain Displacement Matrix and
Stiffness Matrix for CST Element
Day 4 Interaction based on the three Modules covered
Day 5 Deadline for submitting assignments
week 17
Day 1 Module 49 : Plane Strain Problem, Calculate the Element Stresses, Principal Stresses and
Principal Angle for Triangular Element
Day 2 Module 50 : Derivation of Stiffness Matrix for 2D Heat Conduction and Convection
Day 3 Interaction based on the three Modules covered
Day 4 Deadline for submitting assignments
Day 5
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