Time-periodic Poiseuille-type solution with minimally regular flow rate

Autor: Kristina Kaulakytė, Nikolajus Kozulinas, Konstantin Pileckas

Publikováno v: Nonlinear Analysis, Vol 26, Iss 5 (2021)

The nonstationary Navier–Stokes equations are studied in the infinite cylinder Π = {x = (x', xn) ∈ Rn: x' ∈ σ ∈ R n – 1: – ∞ < xn < ∞, n = 2, 3} under the additional condition of the prescribed time-periodic flow-rate (flux) F(t). I

Externí odkaz: https://doaj.org/article/ec0fe131732344e48288344293a959e2

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Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity

Autor: Alexandre Ern, Jean-Luc Guermond

Publikováno v: Foundations of Computational Mathematics
Foundations of Computational Mathematics, 2021, 22 (5), pp.1273--1308. ⟨10.1007/s10208-021-09527-7⟩

International audience; In this paper, we investigate the approximation of a diffusion modelproblem with contrasted diffusivity for various nonconformingapproximation methods. The essential difficulty is that the Sobolevsmoothness index of the exact

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae57bed0de5df3eed5abca5a60512d7b
https://doi.org/10.1007/s10208-021-09527-7

Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz problems

Autor: Chaumont-Frelet, T.

We consider interior penalty discontinuous Galerkin discretizations of time-harmonic wave propagation problems modeled by the Helmholtz equation, and derive novel a priori and a posteriori estimates. Our analysis classically relies on duality argumen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad19a7e25b7bb59ff5b4f252137560e4
http://arxiv.org/abs/2208.14701