SUMMARYThis 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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.