ON THE INVERTIBILITY OF THE ISOPARAMETRIC MAP

被引：23

作者：

KNUPP, PM

机构：

[1] Ecodynamics Research Associates, Inc., Albuquerque

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1990年 / 78卷 / 03期

关键词：

D O I：

10.1016/0045-7825(90)90004-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Most 3D finite difference or finite element codes make use of hexahedral cells having six faces, eight corners and twelve edges. Interpolation between grids makes use of the isoparametric map from a uniform logical space to a given hexahedral cell. In two dimensions, it is well-known that the isoparametric map is invertible if and only if the Jacobians at the four cell corners are positive. The corresponding conjecture in three dimensions is shown to be false and alternative tests for positivity of the Jacobian are investigated. © 1990.

引用

页码：313 / 329

页数：17