Work

On the stability of collocated finite volume method for the generalized Stokes problem

Year: 2025

Type: article

Abstract: In this paper, a symmetric stabilized collocated formulation of finite volume method is introduced and analyzed for the stationary generalized Stokes problem. This method is based on the lowest-order approximation using piecewise constant functions for both velocity and pressure unknowns. Stabilization is achieved by adding a discrete pressure term to the approximate formulation. The stability and convergence properties are established. Two numerical examples are presented to confirm the stability and accuracy of the proposed method.

Source: Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki

DOI: 10.35634/vm250201

Author: A. Boukabache

Institution: École Normale Supérieure de Sétif

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411523732

FWCI: 0.459

Cites:

Cited by: 1

Related to: 10