.png){kind=icon}
返回
New computationally efficient quadrature formulas for pyramidal elements
.png){kind=icon}
PRE
AI
DOI：10.1016/j.finel.2012.10.012.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this paper, new efficient nonproduct numerical integration, or multidimensional quadrature, formulas for pyramidal elements are derived and presented. the nonproduct formulas are developed using the method of polynomial moment fitting, where the weights and points of the formulas are determined by a system of coupled, highly nonlinear equations. Given that the number of equations quickly becomes prohibitively large in three dimensions, the symmetry of the pyramid is used to reduce the number of equations and unknowns of the resulting systems. The new formulas, which is some cases are optimal (that is, minimal-point), are the most efficient means available for numerically computing volume integrals over pyramidal elements in that they require fewer points than any other presently available formulas of the same polynomial degree. By comparison, conventional approaches using products of one-dimensional Gaussian formulas require, on average, more than twice as many points and weights as the new formulas derived here. (C) 2012 Elsevier B.V. All rights reserved.
Keyword:
Numerical integration
Cubature formula
Gaussian quadrature
Pyramidal elements
期刊
IF:
3.5
论文数:
2.6K
被引数:
5.1K
机构
引用论文
.png){kind=icon}
Optimal Selection of a Longwall Mining Method for a Thin Coal Seam Working Face薄煤层工作面长壁开采方法的最优选择
PREAI
分享收藏Effect of beryllia substitution and addition in a YBa2Cu3O7−δ compound氧化铍替代和添加对YBa₂Cu₃O₇₋ₓ化合物的影响
PREAI
分享收藏
Effect of Heat Treatment on the Microstructure and Properties of Ti-8Al-1Mo-1V Alloy with Carbon Addition碳添加对Ti-8Al-1Mo-1V合金微观结构和性能的热处理影响
PREAI
分享收藏
查看更多内容