SomeWeighted Averaging Methods for Gradient Recovery

作     者：Yunqing Huang Kai Jiang Nianyu Yi 

作者机构：Hunan Key Laboratory for Computation and Simulation in Science and EngineeringSchool of Mathematics and Computational ScienceXiangtan UniversityXiangtan 411105HunanChina 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2012年第4卷第2期

页      面：131-155页

核心收录：

学科分类：07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：The first author is supported by supported in part by the NSFC Key Project 11031006 Hunan Provincial NSF project 10JJ7001 The third author is supported by Hunan Education Department Key Project 10A117 Hunan Provincial Innovation Foundation For Postgraduate(Grant No.S2008yjscx05) 

主　　题：Finite element method weighted averaging gradient recovery 

摘      要：We propose some new weighted averaging methods for gradient recovery,and present analytical and numerical investigation on the performance of these weighted averaging *** is shown analytically that the harmonic averaging yields a superconvergent gradient for any mesh in one-dimension and the rectangular mesh in *** results indicate that these new weighted averaging methods are better recovered gradient approaches than the simple averaging and geometry averaging methods under triangular mesh.