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- W4287689162 abstract "We construct and analyze an isoparametric finite element pair for the Stokes problem in two dimensions. The pair is defined by mapping the Scott-Vogelius finite element space via a Piola transform. The velocity space has the same degrees of freedom as the quadratic Lagrange finite element space, and therefore the proposed spaces reduce to the Scott-Vogelius pair in the interior of the domain. We prove that the resulting method converges with optimal order, is divergence--free, and is pressure robust. Numerical examples are provided which support the theoretical results." @default.
- W4287689162 created "2022-07-26" @default.
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- W4287689162 date "2020-08-14" @default.
- W4287689162 modified "2023-10-17" @default.
- W4287689162 title "Divergence--free Scott--Vogelius elements on curved domains" @default.
- W4287689162 doi "https://doi.org/10.48550/arxiv.2008.06429" @default.
- W4287689162 hasPublicationYear "2020" @default.
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