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A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model

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In this study, a Uzawa-type iterative algorithm is introduced and analyzed for solving the stationary natural convection model, where physical variables are discretized by utilizing a mixed finite element method.… Click to show full abstract

In this study, a Uzawa-type iterative algorithm is introduced and analyzed for solving the stationary natural convection model, where physical variables are discretized by utilizing a mixed finite element method. Compared with the common Uzawa iterative algorithm, the main finding is that the proposed algorithm produces weakly divergence-free velocity approximation. In addition, the convergence results of the proposed algorithm are provided, and numerical tests supporting the theory are presented.

Keywords: algorithm; natural convection; stationary natural; iterative algorithm; uzawa type; type iterative

Journal Title: Entropy
Year Published: 2022

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