CONVERGENCE ANALYSIS OF THE UZAWA ITERATIVE METHOD FOR THE THERMALLY COUPLED STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS FLOW

In this paper, we designed an Uzawa iterative method for solving the thermally coupled stationary incompressible magnetohydrodynamics system, where a decoupled discrete system is obtained and no saddle point problem is required to deal with at each iterative step except the initial guess. Then, the convergence analysis of the presented method is provided. Finally, the effectiveness of the proposed method is illustrated with some numerical examples.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240292
Citations
1
Primary Topic
Heat Transfer and Optimization
Type
article
Field-Weighted Citation Impact
0.71
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article

CONVERGENCE ANALYSIS OF THE UZAWA ITERATIVE METHOD FOR THE THERMALLY COUPLED STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS FLOW

Pengzhan Huang, Aytura Keram
1 citations
Journal of Applied Analysis & Computation
Heat Transfer and Optimization
0.71
article

CONVERGENCE ANALYSIS OF THE UZAWA ITERATIVE METHOD FOR THE THERMALLY COUPLED STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS FLOW

Pengzhan Huang, Aytura Keram
article en
1 citations

Abstract

In this paper, we designed an Uzawa iterative method for solving the thermally coupled stationary incompressible magnetohydrodynamics system, where a decoupled discrete system is obtained and no saddle point problem is required to deal with at each iterative step except the initial guess. Then, the convergence analysis of the presented method is provided. Finally, the effectiveness of the proposed method is illustrated with some numerical examples.

Journal of Applied Analysis & ComputationVol. 15(3)
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Openalex Percentile: Top 31%
Heat Transfer and Optimization
0.71
DOIOpen Access PDFOpenAlex
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CONVERGENCE ANALYSIS OF THE UZAWA ITERATIVE METHOD FOR THE THERMALLY COUPLED STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS FLOW — Pengzhan Huang, Aytura Keram · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS