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- W2927156736 abstract "This short note reports a lowest order divergence‐free Stokes element on quadrilateral meshes. The velocity space is based on a P 1 spline element over the crisscross partition of a quadrilateral, and the pressure is approximated by piecewise constant. For a given quadrilateral mesh, this element is stable if and only if the well‐known Q 1 ‐ P 0 element is also stable. Although this method is a subspace method of Qin‐Zhang's P 1 ‐ P 0 element, their velocity solutions are precisely equal. Moreover, an explicit basis representation is also provided. These theoretical findings are verified by numerical tests." @default.
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- W2927156736 date "2019-04-05" @default.
- W2927156736 modified "2023-10-14" @default.
- W2927156736 title "A note on a lowest order divergence‐free Stokes element on quadrilaterals" @default.
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- W2927156736 doi "https://doi.org/10.1002/mma.5629" @default.
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