Unconditional Superconvergence Error Estimates of Semi-Implicit Low-Order Conforming Mixed Finite Element Method for Time-Dependent Navier–Stokes Equations
نویسندگان
چکیده
In this paper, the unconditional superconvergence error analysis of semi-implicit Euler scheme with low-order conforming mixed finite element discretization is investigated for time-dependent Navier–Stokes equations. terms high-accuracy estimates pair on rectangular mesh and boundedness numerical solution in L∞-norm, superclose velocity H1-norm pressure L2-norm are derived firstly by dealing trilinear term carefully skillfully. Then, global results obtained aid interpolation post-processing technique. Finally, some experiments carried out to support theoretical findings.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11081945