Mixed finite elements for Bingham flow in a pipe
Numerical Analysis
2022-05-24 v1 Numerical Analysis
Abstract
We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.
Cite
@article{arxiv.2205.11149,
title = {Mixed finite elements for Bingham flow in a pipe},
author = {Tom Gustafsson and Philip L. Lederer},
journal= {arXiv preprint arXiv:2205.11149},
year = {2022}
}