The Course objective is to provide a comprehensive introduction to the Numerical Methods and the Advanced Theory of Finite Element Method

After the course completion Doctoral students will be able to:

Independently define the Mathematical model used to solve the Physical problem.

Independently work on the Numerical Algorithms,

Judge the results of an structural analysis using Finite element method

Introduction. Strong form and the Weak form formulations. Methods of approximation(Weighted Residual method, Ritz's method,Galerkin's method). Generalization of the Finite element concepts-Weigthed Residual and Variational methods. Element shape functions: standard and hierarhical functions. Isoparametric elements and numerical integration. Reduced and Selective integration. Formulation of structural elements (beams, plates and shells). Convergence of Analysis Results ( Criteria for Convergence, Rate of convergence, Properties of Finite Element Solution, Calculation of stresses ans Assessment of Error). Patch test. Computer procedures for Finite Element Method- Matlab.