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• W2916939650 abstract "It is well known that convergence rate of finite element approximation is suboptimal in the L 2 norm for solving biharmonic equations when P 2 or Q 2 element is used. The goal of this paper is to derive a weak Galerkin (WG) P 2 element with the L 2 optimal convergence rate by assuming the exact solution sufficiently smooth. In addition, our new WG finite element method can be applied to general mesh such as hybrid mesh, polygonal mesh or mesh with hanging node. The numerical experiments have been conducted on different meshes including hybrid meshes with mixed of pentagon and rectangle and mixed of hexagon and triangle." @default.
• W2916939650 created "2019-03-02" @default.
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• W2916939650 date "2019-02-21" @default.
• W2916939650 modified "2023-10-18" @default.
• W2916939650 title "Development of a <i>P</i> ₂ element with optimal <i>L</i> ² convergence for biharmonic equation" @default.
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• W2916939650 doi "https://doi.org/10.1002/num.22361" @default.
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