A finite element/polynomial spectral mixed approximation for the Stokes problem

A mixed Galerkin approximation for the Stokes problem is proposed. The finite element approximation is used for the velocity and the polynomial spectral approximation for pressure. The numerical results show that the proposed method has higher accuracy for a problem with a large external force, and efficiency in solving the resultant linear system using an iterative solver.

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Publication Details

Journal
Results in Applied Mathematics
Published
2025-02-01
DOI
https://doi.org/10.1016/j.rinam.2025.100550
Primary Topic
Advanced Numerical Methods in Computational Mathematics
Type
article
Field-Weighted Citation Impact
0.00

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article

A finite element/polynomial spectral mixed approximation for the Stokes problem

Shinya Uchiumi
Results in Applied Mathematics
Advanced Numerical Methods in Computational Mathematics
article

A finite element/polynomial spectral mixed approximation for the Stokes problem

Shinya Uchiumi
article en

Abstract

A mixed Galerkin approximation for the Stokes problem is proposed. The finite element approximation is used for the velocity and the polynomial spectral approximation for pressure. The numerical results show that the proposed method has higher accuracy for a problem with a large external force, and efficiency in solving the resultant linear system using an iterative solver.

Results in Applied MathematicsVol. 25
Hokkaido University (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 96%
Advanced Numerical Methods in Computational Mathematics
DOIOpen Access PDFOpenAlex
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A finite element/polynomial spectral mixed approximation for the Stokes problem — Shinya Uchiumi · Results in Applied Mathematics (2025) | TGRS Research Map | TGRS