A Divergence-free finite element method for the stokes problem with boundary correction
نویسندگان
چکیده
Abstract This paper constructs and analyzes a boundary correction finite element method for the Stokes problem based on Scott–Vogelius pair Clough–Tocher splits. The velocity space consists of continuous piecewise polynomials degree k , pressure ( – 1) without continuity constraints. A Lagrange multiplier that with respect to partition is introduced enforce conditions mitigate lack pressure-robustness. We prove several inf-sup conditions, leading well-posedness method. In addition, we show converges optimal order approximation divergence-free.
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ژورنال
عنوان ژورنال: Journal of Numerical Mathematics
سال: 2022
ISSN: ['1570-2820', '1569-3953']
DOI: https://doi.org/10.1515/jnma-2021-0125