<i>C</i> <sup>1</sup> preserving Hermite interpolants for piecewise polynomials in two dimensions
Abstract We describe a representation of C 1 piecewise polynomials defined using generalized Hermite elements in two dimensions. This provides a way to generate C 1 piecewise polynomials using nodal variables that are the same at all vertices for degree n ⩾ 5. From this, one obtains both the dimension of the space and an interpolant.
Authors
- L. Ridgway Scott (ORCID: https://orcid.org/0000-0002-7885-7106)
Institutions
- University of Chicago (US)
Publication Details
- Journal
- Journal of Numerical Mathematics
- Published
- 2025-08-12
- DOI
- https://doi.org/10.1515/jnma-2024-0101
- Primary Topic
- Advanced Numerical Analysis Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00