most citedNew finite volume element schemes based on a two-layer dual strategy

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math.NA2026

Finite Volume Element Method on Curved-Edge Meshes

Xiaoxiao Chen, Zexi Hu, Zhiming Gao +3

This paper proposes and analyzes a high-order finite volume element method on curved-edge quadrilateral meshes for elliptic equations. Unlike existing theories, which are primarily…

math.NA2025★ 1 cited

New finite volume element schemes based on a two-layer dual strategy

Weizhang Huang, Xiang Wang, Xinyuan Zhang

A two-layer dual strategy is proposed in this work to construct a new family of high-order finite volume element (FVE-2L) schemes that can avoid main common drawbacks of the existi…