Abstract
In this paper a general superconvergence of nonconforming finite element method for the second order elliptic problem is derived. In order to verify and support the theoretical results numerical examples are given.
Highlights
In this paper a general superconvergence of nonconforming finite element method for the second order elliptic problem is derived
Wang [9] proposed and analyzed the L2-projection method for the least-squares conforming finite element method on the second order elliptic problem.The goal of this article is to derive a general superconvergence of nonconforming FE with its application for elliptic problem by applying certain postprocessing
We give a preliminaries for the nonconforming finite element
Summary
“The superconvergence of finite element (FE) solutions is an interesting and useful phenomenon in the scientific computing of real world problems and has become an area of active research in recent years” [4]. Wang [9] proposed and analyzed the L2-projection method for the least-squares conforming finite element method on the second order elliptic problem.The goal of this article is to derive a general superconvergence of nonconforming FE with its application for elliptic problem by applying certain postprocessing. We give a preliminaries for the nonconforming finite element.
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