Work

The Scott-Vogelius Method for the Stokes Problem on Anisotropic Meshes

Year: 2022

Type: article

Abstract: This paper analyzes the Scott-Vogelius divergence-free element pair on anisotropic meshes. We explore the behavior of the inf-sup stability constant with respect to the aspect ratio on meshes generated with a standard barycenter mesh refinement strategy, as well as a newly introduced incenter refinement strategy. Numerical experiments are presented which support the theoretical results.

Source: International Journal of Numerical Analysis and Modeling

DOI: 10.4208/ijnam.v19.n2-3.p157

Authors: Kiera Kean, Michael Neilan, Michael Schneier

Institution: University of Pittsburgh

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3202878501

FWCI: 0.403

Cites: 32

Cited by: 3

Related to: 10