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February 3, 2026Journal of Applied Mathematics and Computing

Superconvergence analysis of a low-order nonconforming mixed finite element method for unsteady natural convection equations

Xiaochen Chu Xiangyu Shi Dongyang Shi Dongyang Shi

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Key Points

Superconvergence is observed in the low-order nonconforming mixed finite element method, enhancing accuracy beyond expected levels.
The analysis includes theoretical insights and numerical validations for equations modeling natural convection in fluids.
This method uses a finite element approach to effectively solve unsteady natural convection equations in fluid dynamics.
The findings highlight the potential for improved computational techniques, though real-world applications may require further exploration.

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Implication

Analysis reveals superconvergence in a low-order method for unsteady natural convection equations, suggesting enhanced numerical accuracy.

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Cite This Study

Chu et al. (2026) studied this question.

synapsesocial.com/papers/69a76037c6e9836116a2cbbd https://doi.org/10.1007/s12190-025-02760-1

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