| Author | Saikat Dey |
|---|---|
| Title | Geometric Mapping of Finite Elements on Shell Geometry |
| Year | 1994 |
| Abstract | The geometric mapping of a finite element describes the relationship between the finite element parametric space, and the euclidean space of the model, . The mapping determines the position vector, X, and derivatives of X with respect to upto the required order. The accuracy of the finite element solution depends upon the accuracy of the geometric mapping of the finite elements. This dependency is more significant in the p-version of the finite element method where the finite element meshes are typically coarse [1]. The standard technique for mapping finite elements involves approximate fitting techniques which are improved iteratively based on some user specified error criterion. This report describes a different approach for mapping of the finite elements by utilizing the underlying parametric representation of the true geometric model. |
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