An iterative algorithm of inverse isoparametric mapping for hexahedral elements

LI Chun-guang; ZHENG Hong; GE Xiu-run; WANG Shui-lin

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An iterative algorithm of inverse isoparametric mapping for hexahedral elements

更新时间：2026-06-25

- An iterative algorithm of inverse isoparametric mapping for hexahedral elements
- Vol. 25, Issue 7期　刊出日, (2004)
- 作者机构：
  
  1. 中国科学院武汉岩土力学研究所岩土力学重点实验室,湖北,武汉,430071
  2. 三峡大学土木水电学院,湖北,宜昌,443002
  3. 上海交通大学船舶海洋与建筑工程学院,上海,200030
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU457
- Online First：18 July 2014，
  
  Published：2004
- 稿件说明：
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LI Chun-guang, ZHENG Hong, GE Xiu-run, et al. An iterative algorithm of inverse isoparametric mapping for hexahedral elements[J]. 2004, 25(7期　刊出日).
DOI：

LI Chun-guang, ZHENG Hong, GE Xiu-run, et al. An iterative algorithm of inverse isoparametric mapping for hexahedral elements[J]. 2004, 25(7期　刊出日). DOI：

摘要

提出了六面体等参逆变换的一种迭代解法，它不仅克服了三维问题中线性迭代格式因初值不同而不能保证收敛的缺陷，而且也避免了求解高次方程，只需进行简单的迭代就可以方便求出局部坐标。

Abstract

An iteration method of inverse isoparametric mapping for hexahedral elements is presented; it doesn’t need to solve high order equations and avoids nonconvergence for poor initial points. By this method the local coordinates can be acquired quickly by simple iteration.

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