Computational Mechanics Group

Under the direction of Prof. Maurizio M. Chiaramonte


CEE 513 - Introduction to finite element methods (Fall 2017): The course introduces fundamental concepts and technologies of primal finite element methods for linear elliptic boundary value problems. The course begins with an overview of finite element methods for a one-dimensional model problem including the weak, Galerkin and matrix forms, error analysis and superconvergence. Extension of the finite element to multiple dimensions are carried out, first for second order scalar valued equations, such as the heat equation and Darcy’s flow in porous materials, and later extended to vector valued equations such as the elasticity equations. The course then concludes with the C0 approach to plates and beams and contrasts it with matrix structural analysis approaches. The element formulations and data structures, isoparametric interpolations, locking issues, analysis of errors and convergence of approximations, as well as treatment of constraints and variational crimes will all be discussed.