Abstract
We apply a nonlinear analogue of the Lax equivalence principle developed in Part II of this monograph to perform the convergence analysis of a finite difference method approximating the Navier–Stokes equations. In addition, using the relative energy functional we derive the convergence rate of finite difference approximations towards a regular solution.
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Feireisl, E., Lukáčová-Medviďová, M., Mizerová, H., She, B. (2021). Finite Difference Method for the Navier-Stokes System. In: Numerical Analysis of Compressible Fluid Flows. MS&A, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-030-73788-7_14
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DOI: https://doi.org/10.1007/978-3-030-73788-7_14
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-73787-0
Online ISBN: 978-3-030-73788-7
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