论文信息 - Jacobians for isoparametric finite elements

Jacobians for isoparametric finite elements

Isoparametric elements are only valid if the Jacobian determinant of the transformation between a given element and a master element does not change sign within or on the element boundary. Some algorithms are known which analyse Jacobians for various element types. Some necessary conditions are presented for determining the validity of an element.

K. Barrett | K. E. Barrett

[1] George M. Phillips,et al. Forbidden Shapes in the Finite Element Method , 1971 .

[2] T. A. Porsching,et al. Some results on the global inversion of bilinear and quadratic isoparametric finite element transformations , 1978 .

[3] David A. Field. An algorithm for determining invertible quadratic isoparametric finite element transformations , 1981 .

[4] David A. Field. Algorithms for determining invertible two‐ and three‐dimensional quadratic isoparametric finite element transformations , 1983 .

[5] M. L. Baart,et al. Quadratic Transformations of Triangular Finite Elements in Two Dimensions , 1986 .

[6] M. Baart,et al. A note on invertible two-dimensional quadratic finite element transformations , 1987 .

[7] P. M. Knupp. On the ivertability of the isoparametric map , 1990 .