TR-2021-07
A Local Fortin Operator for Low-order Taylor–Hood Elements
L. Ridgway Scott. 17 May, 2021.
Communicated by L. Ridgway Scott.
Abstract
We construct local Fortin operators for low-order Taylor–Hood methods for incom- pressible fluid flow in both two and three dimensions. We apply the local Fortin oper- ators to define approximations that are local, optimal-order, and discretely divergence free. This includes optimal-order approximations simultaneously on the boundary and in the interior.
Original Document
The original document is available in PDF (uploaded 17 May, 2021 by
L. Ridgway Scott).
