Recovery Type A Posteriori Error Estimation For Adaptive Virtual Element Method

Virtual Element Method is a new numerical discrete method for solving partial differential equations.Compared with traditional Finite Element Method,it is suitable for more general polygonal and polyhedral meshes,with better mesh adaptability and numerical stability.However,as a new method,the theories,algorithms and applications of virtual element method still need to be further developed and improved.In this work,a new recovery type a posterior error estimator for Poisson equation is proposed.Furthermore,the efficiency and reliability of the posterior error estimator is proved.Finally,several numerical tests are presented to confirm the theoretical results.