Work

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

Year: 2025

Type: article

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.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2025.100550

Author: Shinya Uchiumi

Institution: Hokkaido University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,770

Funder: Japan Society for the Promotion of Science