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Abstract
We discuss the impact of certain recent results concerning stability of weak solutions to the complete Navier–Stokes–Fourier system on the problem of convergence of the associated numerical schemes. In particular, we show that solutions of certain numerical schemes converge unconditionally to the exact solution as long as the numerical solutions remain bounded.
Keywords: Navier–Stokes–Fourier system; weak solution; mixed finite-volume finite-element numerical scheme; convergence
Funding source: GAČR (Czech Science Foundation)
Award Identifier / Grant number: project 13-00522S in the framework of RVO: 67985840
Received: 2014-12-2
Accepted: 2015-7-1
Published Online: 2015-7-14
Published in Print: 2015-8-1
© 2015 by De Gruyter
