C 1 preserving Hermite interpolants for piecewise polynomials in two dimensions
Year: 2025
Type: article
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.
Source: Journal of Numerical Mathematics
Author: L. Ridgway Scott
Institution: University of Chicago
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W4413102802