Zobrazeno 1 - 10
of 205
pro vyhledávání: '"GUZMÁN, JOHNNY"'
In this paper we continue the work on implicit-explicit (IMEX) time discretizations for the incompressible Oseen equations that we started in \cite{BGG23} (E. Burman, D. Garg, J. Guzm\`an, {\emph{Implicit-explicit time discretization for Oseen's equa
Externí odkaz:
http://arxiv.org/abs/2405.12562
We consider a parabolic-parabolic interface problem and construct a loosely coupled prediction-correction scheme based on the Robin-Robin splitting method analyzed in [J. Numer. Math., 31(1):59--77, 2023]. We show that the errors of the correction st
Externí odkaz:
http://arxiv.org/abs/2404.01599
We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and analyzed in [J. Numer. Math., 31(1):59--77, 2023] for a parabolic-parabolic interface problem and prove estimates for the discrete time derivatives of the scalar fi
Externí odkaz:
http://arxiv.org/abs/2404.01594
Mixed methods for linear elasticity with strongly symmetric stresses of lowest order are studied in this paper. On each simplex, the stress space has piecewise linear components with respect to its Alfeld split (which connects the vertices to barycen
Externí odkaz:
http://arxiv.org/abs/2403.13189
We construct conforming finite element elasticity complexes on Worsey-Farin splits in three dimensions. Spaces for displacement, strain, stress, and the load are connected in the elasticity complex through the differential operators representing defo
Externí odkaz:
http://arxiv.org/abs/2302.08598
In this paper we propose, analyze, and test numerically a pressure-robust stabilized finite element for a linearized problem in incompressible fluid mechanics, namely, the steady Oseen equation with low viscosity. Stabilization terms are defined by j
Externí odkaz:
http://arxiv.org/abs/2205.06373
We prove three-dimensional Worsey-Farin refinements inherit their parent triangulations' shape-regularity.
Externí odkaz:
http://arxiv.org/abs/2205.05059
We prove convergence of the Maxwell eigenvalue problem using quadratic or higher Lagrange finite elements on Worsey-Farin splits in three dimensions. To do this, we construct two Fortin-like operators to prove uniform convergence of the corresponding
Externí odkaz:
http://arxiv.org/abs/2204.10876
We present a loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling conditions. We apply a novel unified analysis for this scheme applied to both a Parabolic/Parabolic coupled system and a Parabolic/Hyperbolic coupled syst
Externí odkaz:
http://arxiv.org/abs/2110.08181
We derive low-order, inf-sup stable and divergence-free finite element approximations for the Stokes problem using Worsey-Farin splits in three dimensions and Powell-Sabin splits in two dimensions. The velocity space simply consists of continuous, pi
Externí odkaz:
http://arxiv.org/abs/2105.09214