65 citations · 186 across the 24 of their papers we have counts for
3 papers · 1 filter
On a Nanoscopically-Informed Shell Theory of Single-Wall Carbon Nanotubes
Chandrajit Bajaj, Antonino Favata, Paolo Podio-Guidugli
This paper proposes a bottom-up sequence of modeling steps leading to a nanoscopically informed continuum, and as such macroscopic, theory of single-walled carbon nanotubes (SWCNTs…
Interpolation Error Estimates for Mean Value Coordinates over Convex Polygons
Alexander Rand, Andrew Gillette, Chandrajit Bajaj
In a similar fashion to estimates shown for Harmonic, Wachspress, and Sibson coordinates in [Gillette et al., AiCM, doi:10.1007/s10444-011-9218-z], we prove interpolation error est…
Quadratic Serendipity Finite Elements on Polygons Using Generalized Barycentric Coordinates
Alexander Rand, Andrew Gillette, Chandrajit Bajaj
We introduce a finite element construction for use on the class of convex, planar polygons and show it obtains a quadratic error convergence estimate. On a convex n-gon satisfying…