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math.NA2022★ 8 cited
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state
Bennett Clayton, Jean-Luc Guermond, Matthias Maier +2
This paper is concerned with the approximation of the compressible Euler equations supplemented with an arbitrary or tabulated equation of state. The proposed approximation techniq…
math.NA2022
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence
Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond
We estimate best-approximation errors using vector-valued finite elements for fields with low regularity in the scale of fractional-order Sobolev spaces. By assuming additionally t…