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Finite Element Discretizations of a Convective Brinkman–Forchheimer Model Under Singular Forcing
A Allendes, G Campaña, E Otárola - Journal of Scientific Computing, 2024 - Springer
In two-dimensional bounded Lipschitz domains, we analyze a convective Brinkman–
Forchheimer problem on the weighted spaces H 0 1 (ω, Ω)× L 2 (ω, Ω)/R, where ω belongs …
Forchheimer problem on the weighted spaces H 0 1 (ω, Ω)× L 2 (ω, Ω)/R, where ω belongs …
Parabolic Lipschitz truncation and caloric approximation
We develop an improved version of the parabolic Lipschitz truncation, which allows
qualitative control of the distributional time derivative and the preservation of zero boundary …
qualitative control of the distributional time derivative and the preservation of zero boundary …
A posteriori error estimates for the Stokes problem with singular sources
We propose a posteriori error estimators for classical low-order inf–sup stable and stabilized
finite element approximations of the Stokes problem with singular sources in two and three …
finite element approximations of the Stokes problem with singular sources in two and three …
Stability of the Stokes projection on weighted spaces and applications
We show that on convex polytopes in two or three dimensions, the finite element Stokes
projection is stable on weighted spaces ${\mathbf {W}}^{1, p} _0 (\omega,\Omega)\times L …
projection is stable on weighted spaces ${\mathbf {W}}^{1, p} _0 (\omega,\Omega)\times L …
The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing
E Otárola, AJ Salgado - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
We show the well posedness of the Poisson and Stokes problems on weighted spaces over
general Lipschitz domains. For a particular range of p, we consider those weights in the …
general Lipschitz domains. For a particular range of p, we consider those weights in the …
Regularity estimates for stationary Stokes problem in some generalized function spaces
We investigate the global regularity for weak solutions to a generalized stationary Stokes
problem with BMO coefficients in a non-smooth domains. The results in this paper fall into …
problem with BMO coefficients in a non-smooth domains. The results in this paper fall into …
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra
E Otárola, AJ Salgado - Numerische Mathematik, 2022 - Springer
We study the Stokes problem over convex polyhedral domains on weighted Sobolev
spaces. The weight is assumed to belong to the Muckenhoupt class A q for q∈(1,∞). We …
spaces. The weight is assumed to belong to the Muckenhoupt class A q for q∈(1,∞). We …
On the existence of weak solutions for the steady Baldwin-Lomax model and generalizations
LC Berselli, D Breit - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
In this paper we consider the steady Baldwin-Lomax model, which is a rotational model
proposed to describe turbulent flows at statistical equilibrium. The Baldwin-Lomax model is …
proposed to describe turbulent flows at statistical equilibrium. The Baldwin-Lomax model is …
A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures
In two dimensions, we propose and analyze an a posteriori error estimator for finite element
approximations of the stationary Navier--Stokes equations with singular sources on …
approximations of the stationary Navier--Stokes equations with singular sources on …
Weighted estimates for generalized steady Stokes systems in nonsmooth domains
SS Byun, H So - Journal of Mathematical Physics, 2017 - pubs.aip.org
We consider a generalized steady Stokes system with discontinuous coefficients in a
nonsmooth domain when the inhomogeneous term belongs to a weighted L q space for 2< …
nonsmooth domain when the inhomogeneous term belongs to a weighted L q space for 2< …