Paper Title
Beam Optimization with Probability Constraint Modeled by 2D Finite Element Method

In this paper, reliability-constrained optimal beam design problem is formulated. The corresponding mathematical model involves PDE-type constraints, which are modelled by finite element method. The constraints concerning reliability are reformulated using penalty approach and a traditional scenario-based approach. The results are obtained by computations in the MATLAB software. Keywords - Partial Differential Equations in Constraints, Probability Constraint, Penalty Approach, Finite Element Method (FEM).