Best-approximation error estimates are extended from the Stokes problem to the instationary Navier-Stokes equations in the L^∞(I;L²(Ω)), L²(I;H¹(Ω)), and L²(I;L²(Ω)) norms via error splitting and a tailored discrete Gronwall lemma.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.NA 2years
2023 2verdicts
UNVERDICTED 2representative citing papers
Establishes interior L^∞ error estimates at final time for DG-in-time and FE-in-space discretizations of parabolic problems with measure-valued initial data.
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Error estimates for finite element discretizations of the instationary Navier-Stokes equations
Best-approximation error estimates are extended from the Stokes problem to the instationary Navier-Stokes equations in the L^∞(I;L²(Ω)), L²(I;H¹(Ω)), and L²(I;L²(Ω)) norms via error splitting and a tailored discrete Gronwall lemma.
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Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data
Establishes interior L^∞ error estimates at final time for DG-in-time and FE-in-space discretizations of parabolic problems with measure-valued initial data.