Speaker： Dr. Shuo Zhang

                         Chinese Academy of Sciences

Title:    On low-degree optimal finite element schemes

       Time：27 Dec 2019, 16:30

Location：Conference Room 108 at Experiment Building at Haiyun Campus

Abstract:    It is well known that there can be an optimal upper bound for the accuracy of approximating smooth functions with piecewise polynomials of at most certain degree, but in practice, all finite element scheme can not achieve this theoretical upper bound. It is naturally of theoretical importance to investigate the construction of optimal finite element schemes, while surprisingly optimal schemes are absent in even some familiar friendly settings. In this talk, we introduce low-degree optimal finite element schemes for several fundamental model problems. The main technical ingredient is to construct finite element complexes. These schemes can practically bring convenience into the computation of source eigenvalue problems.