Fundamental concepts and mathematical background. Variational principles and general procedure of the finite element analysis; standard element shape functions. Formulation of one- and two-dimensional problems. Vector and tensor analysis. Computer program development. Introduction to some advanced finite element modelling, such as mixed and penalty methods; transient problems; isoparametric finite elements; grid generation; adaptive mesh refinement; applications to computational solid and fluid dynamics using software such as MSC Nastran and Ansys.
The topic aims to ensure that the students have a basic understanding of the following: