A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial Mapping Functions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2003
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| _version_ | 1866914099058704384 |
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| author | Vavasis, Stephen |
| author_facet | Vavasis, Stephen |
| contents | We propose a sufficient condition for invertibility of a polynomial mapping function defined on a cube or simplex. This condition is applicable to finite element analysis using curved meshes. The sufficient condition is based on an analysis of the Bernstein-Bézier form of the columns of the derivative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cs_0308021 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial Mapping Functions Vavasis, Stephen Numerical Analysis Computational Geometry G.1.8 We propose a sufficient condition for invertibility of a polynomial mapping function defined on a cube or simplex. This condition is applicable to finite element analysis using curved meshes. The sufficient condition is based on an analysis of the Bernstein-Bézier form of the columns of the derivative. |
| title | A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial Mapping Functions |
| topic | Numerical Analysis Computational Geometry G.1.8 |
| url | https://arxiv.org/abs/cs/0308021 |