Mixed finite elements for Bingham flow in a pipe-Reference-Cited by-同舟云学术

Mixed finite elements for Bingham flow in a pipe

Published:2022-11-10 Issue:4 Volume:152 Page:819-840
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Gustafsson Tom,Lederer Philip L.

Abstract

AbstractWe 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.

Funder

Aalto University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00211-022-01332-w.pdf

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