计算力学学报2016，Vol.33Issue(4)：451-453,477,4.DOI:10.7511/jslx201604004
一维Ritz有限元EEP超收敛位移计算简约格式的直接推导与证明
A direct derivation and proof of super-convergence of EEP displacement of simplified form in one-dimensional Ritz FEM
摘要
Abstract
For one-dimensional Ritz Finite Element Method (FEM ),when both the problems and solutions are sufficiently smooth,the super-convergent displacement from the simplified form of the Element Energy Projection (EEP)method is capable of producing a convergence order of hm+2 at any point on an element for elements of degree m (>1 )in post-processing super-convergence stage of the FEM.Based on the transformation of two equivalent forms of the EEP,both the computational formula and the error term of EEP displacement solution of the simplified form are derived directly,and then its convergence orders are estimated.As a result,a new method has been developed for the mathematical derivation and proof of the super-convergence of EEP displacement of the simplified form.关键词
Ritz有限元/超收敛/收敛阶/单元能量投影Key words
Ritz FEM/super-convergence/convergence order/element energy proj ection(EEP)分类
建筑与水利引用本文复制引用
袁驷,邢沁妍..一维Ritz有限元EEP超收敛位移计算简约格式的直接推导与证明[J].计算力学学报,2016,33(4):451-453,477,4.基金项目
国家自然科学基金(51378293,51078199)资助项目 （51378293,51078199）
