摘要
有限元线法(FEMOL)是一种优良的半解析、半离散方法。为提高离散方向的精度,一维有限元中超收敛计算的单元能量投影(EEP)法,已成功地应用于有限元线法,导出一套简约格式的计算公式,该简约格式对位移及其导数都能给出比有限元线法解高出一阶的超收敛精度。该文对这套简约格式做进一步分析,发现其中的导数计算公式可以进一步简化,遂得到更加简约的导数计算公式。数值试验验证了该文方法的有效性。
Finite element method of lines （FEMOL） is an excellent semi-discrete method. To improve the accuracy along the discrete direction, the Element Energy Projection （EEP） method, which is a powerful super-convergent recovery method in 1D FEM, was successfully extended to FEMOL. Accordingly, a set of formulas named simplified formulation was proposed in previous papers. The displacement and its derivatives calculated by the simplified formulas have been proved to have one order higher convergence than that of FEMOL itself. However, deepened studies showed that the formula for derivatives in this simplified formulation could be further simplified and a more simplified formula for derivatives is proposed in this paper. Numerical experiments are conducted to demonstrate the effectiveness of the proposed approach.
出处
《工程力学》
EI
CSCD
北大核心
2016年第B06期1-5,共5页
Engineering Mechanics
基金
国家自然科学基金项目(51378293
51078199
51508529)
