| 粘弹性方程类Wilson元的整体超收敛和外推 |
| |
| 引用本文： | 牛裕琪,石东洋.粘弹性方程类Wilson元的整体超收敛和外推[J].应用数学,2012,25(2):396-402. |
| |
| 作者姓名： | 牛裕琪 石东洋 |
| |
| 作者单位： | 1. 许昌学院数学与统计学院,河南许昌,461000
2. 郑州大学数学系,河南郑州,450052 |
| |
| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金，国家自然科学基金数学天元基金，河南省教育厅自然科学基金 |
| |
| 摘 要： | 本文借助双线性元积分恒等式技巧,对粘弹性方程的类Wilson元解进行了高精度分析.通过证明类 Wilson元的非协调误差在矩形网格下可以达到O(h3)这一独特性质及利用插值后处理技术给出了H1模意义下O(h2)阶的超逼近和整体超收敛结果.进而通过构造合适的外推格式,得到具有更高阶O(h3)精度的数值逼近解.
|
| 关 键 词： | 粘弹性方程 类Wilson元 高精度分析 超收敛及外推 |
Global Superconvergence and Extrapolation of Quasi-Wilson Element Solution to Viscoelasticity Type Equations |
| |
| NIU Yuqi
,
SHI Dongyang.Global Superconvergence and Extrapolation of Quasi-Wilson Element Solution to Viscoelasticity Type Equations[J].Mathematica Applicata,2012,25(2):396-402. |
| |
| Authors: | NIU Yuqi SHI Dongyang |
| |
| Institution: | 1.Schoolf of Mathematics and Statistics,Xuchang University,Xuchang 461000,China;2.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
| |
| Abstract: | In this paper,based on the integral identities technique of the bilinear element,higher accuracy analysis of quasi-Wilson element is discussed for the viscoelasticity type equations.Moreover,It is proved that special character of the nonconforming error of quasi-Wilson element is of order O(h3) under rectangular meshes,which leads to the superclose property of order O(h2) and the global superconvergence result in broken H1-norm by use of interpolated post-processing method.The numerical approximation solution with higher accuracy of order O(h3) is derived through constructing a proper extrapolation scheme. |
| |
| Keywords: | Viscoelasticity type equations Quasi-Wilson element Higher accuracy analysis Superconvergence and extrapolation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
