A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial Mapping Functions
<|reference_start|>A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial Mapping Functions: 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-B\'ezier form of the columns of the derivative.<|reference_end|>
@article{vavasis2003a,
    title={A Bernstein-Bezier Sufficient Condition for Invertibility of Polynomial
  Mapping Functions},
    author={Stephen Vavasis},
    journal={arXiv preprint arXiv:cs/0308021},
    year={2003},
    archivePrefix={arXiv},
    eprint={cs/0308021},
    primaryClass={cs.NA cs.CG}
}