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arXiv · 1508.06432

Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains

Eduard Feireisl·Radim Hošek·David Maltese·Antonín Novotný
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Abstract

We derive an a priori error estimate for the numerical solution obtained by time and space discretization by the finite volume/finite element method of the barotropic Navier--Stokes equations. The numerical solution on a convenient polyhedral domain approximating a sufficiently smooth bounded domain is compared with an exact solution of the barotropic Navier--Stokes equations with a bounded density. The result is unconditional in the sense that there are no assumed bounds on the numerical solution.

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Eduard Feireisl, Radim Hošek, David Maltese, Antonín Novotný. 2015-08-26. Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains. https://arxiv.org/abs/1508.06432

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