钟博, 叶康生, 袁驷. 基于p型超收敛计算的一维有限元自适应分析[J]. 工程力学, 2016, 33(增刊): 23-28. DOI: 10.6052/j.issn.1000-4750.2015.05.S038
引用本文: 钟博, 叶康生, 袁驷. 基于p型超收敛计算的一维有限元自适应分析[J]. 工程力学, 2016, 33(增刊): 23-28. DOI: 10.6052/j.issn.1000-4750.2015.05.S038
ZHONG Bo, YE Kang-sheng, YUAN Si. ONE DIMENSIONAL FINITE ELEMENT ADAPTIVE ANALYSIS BASED ON A p-TYPE SUPERCONVERGENT RECOVERY SCHEME[J]. Engineering Mechanics, 2016, 33(增刊): 23-28. DOI: 10.6052/j.issn.1000-4750.2015.05.S038
Citation: ZHONG Bo, YE Kang-sheng, YUAN Si. ONE DIMENSIONAL FINITE ELEMENT ADAPTIVE ANALYSIS BASED ON A p-TYPE SUPERCONVERGENT RECOVERY SCHEME[J]. Engineering Mechanics, 2016, 33(增刊): 23-28. DOI: 10.6052/j.issn.1000-4750.2015.05.S038

基于p型超收敛计算的一维有限元自适应分析

ONE DIMENSIONAL FINITE ELEMENT ADAPTIVE ANALYSIS BASED ON A p-TYPE SUPERCONVERGENT RECOVERY SCHEME

  • 摘要: 基于提高单元阶次的p型超收敛算法,可以在有限元解答基础上求得超收敛解。用该超收敛解代替精确解可以对有限元解答进行可靠的误差估计。对Zienkiewicz网格划分策略进行一定的改进,得到一种更有效的网格划分策略。基于可靠的误差估计和高效的网格划分,可以进行有限元自适应求解。数值试验表明,该文的自适应求解方案能够得到较优的网格和满足误差限的解答。

     

    Abstract: Superconvergent solution can be obtained from finite element (FE) solution by using a p-type superconvergent recovery scheme. The recovered superconvergent solution is used to estimate the error of FE solution in place of the exact solution. The Zienkiewicz mesh refinement strategy is improved by making small adjustments. Based on reliable error estimation and efficient mesh refinement, adaptive process can be conducted successfully. Numerical experiments show that the adaptive scheme can produce excellent mesh and solution.

     

/

返回文章
返回