Introduction to triangular and quadrilateral elements
Deriving element stiffness matrix and force vector
Incorporating different boundary conditions
Numerical example
Computer implementation: obtaining connectivity and coordinate matrix, implementing numerical integration, obtaining global stiffness matrix and global force vector, incorporating boundary conditions and finally post-processing.
Two dimensional Vector field problems
2D elasticity problem
Obtaining weak form
Introduction to triangular and quadrilateral elements
Deriving element stiffness matrix and force vector
Incorporating different boundary conditions
Numerical example
Iso-parametric, sub-parametric and super-parametric elements Computer implementation: a vivid layout of a generic code will be discussed Convergence, Adaptive meshing, Hanging nodes, Post- processing
Extension to three dimensional problems
Axisymmetric Problems: Formulation and numerical examples
Eigen value problems
Axial vibration of rod (1D)
Formulation and implementation Transverse vibration of beams (2D)
Formulation and implementation
Transient problem in 1D & 2D Scalar Valued Problems
Transient heat transfer problems
Discretization in time: method of lines and Rothe method