The course covers lessons in Finite Element Method, Concept of a functional, Stiffness matrix, Rayleigh–Ritz method, Piecewise linear, Element Calculations, Global stiffness matrix, Bi-linear, Cubic Approximation, Post Processor, Edge functions, Integration points, One dimensional finite element program, Make mesh, Iterative Solvers, Neutral axis, Fourth order differential equation, Stopping criteria, Non linear problems.
Course topics:
- Finite Element Method
- Concept of a functional
- Stiffness matrix
- Rayleigh–Ritz method
- Piecewise linear
- Element Calculations
- Global stiffness matrix
- Bi-linear
- Cubic Approximation
- Post Processor
- Edge functions
- Integration points
- Gauss Lobatto
- One dimensional finite element program
- Make mesh
- Iterative Solvers
- Pre-processor
- Neutral axis
- Hermite cubic polynomials
- Two-dimensional problems
- Temperature controlled problem
- Metrics of the transformation
- Element stiffness matrix
- Triangular elements
- Serendipity Family
- Rectangular domain
- Single variable problem
- Planar elasticity problem
- 2n coefficients alphai
- Finite element formulation
- Classical plate theory
- Fourth order differential equation
- 3 dimensions
- Free vibration
- Transient problems
- Alpha families
- Non linear problems
- Stopping criteria
