Discrete Functional Analysis Tools for Some Evolution Equations

Thierry Gallouët · Computational Methods in Applied Mathematics · 2018

Abstract We present some discrete functional analysis tools for the proof of convergence of numerical schemes, mainly for equations including diffusion terms such as the Stefan problem or the Navier–Stokes equations in the incompressible and compressible cases. Some of the results covered here have been proved in previous works, coauthored with several coworkers.

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