The Finite Element Method

Numerical solution of partial differential equations describing engineering problems. Fundamentals of the finite element methods including the weighted residual method, shape functions, numerical integration, assembly and error analysis by solving 1D linear second order elliptic equations technique and extension to 2D and 3D elliptic problems. Fourth order equations, time-dependent parabolic and hyperbolic partial differential equations and non-linear problems. Applications problems in applied mechanics, elasticity, vibrations, heat conduction, and others. Background required in calculus, linear algebra and differential equations.