Course

Finite Element Method: Variational formulation – Rayleigh-Ritz minimization – weighted residuals – Galerkin method applied to boundary value problems.Global and local finite element models in one dimension – derivation of finite element equation.Finite element interpolation – polynomial elements in one dimension, two dimensional elements, natural coordinates, triangular elements, rectangular elements, Lagrangian and Hermite elements for rectangular elements – global interpolation functions.Local and global forms of finite element equations –
boundary conditions – methods of solution for a steady state problem – Newton Raphson continuation. One dimensional heat and wave equations.

1. J.N .Reddy, An Introduction to the Finite Element Method, McGraw Hill, NY.
2. Chung, Finite Element Analysis in Fluid Dynamics, McGraw Hill Inc.