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.
