Automated adaptive two-dimensional system for the hp-version of the finite element method

This paper presents an automated, adaptive finite element modelling system based on the hp‐version of the finite element method. Error estimation and correction indication procedures with an automatic mesh generator and a p‐version analysis code are combined to provide a computationally efficient modelling environment. Error prediction techniques are employed to find the best combination of finite element discretization, h‐, and overall polynomial order, p‐, needed to achieve the prescribed level of accuracy. The automated adaptive modelling results demonstrate the capability of the modelling system of predicting discretizations to perform a p‐version finite element analysis to achieve prescribed levels of accuracy in the most efficient manner.