5 papers
Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D
Daniele Boffi, Sining Gong, Johnny Guzmán +1
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 F…
Loosely coupled, non-iterative time-splitting scheme based on Robin-Robin coupling: unified analysis for parabolic/parabolic and parabolic/hyperbolic problems
Erik Burman, Rebecca Durst, Miguel Fernández +1
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 Para…
SPH modeling of natural convection around a heated horizontal cylinder: A comparison with experiments
F. Aragón, J. E. V. Guzmán, L. Di G. Sigalotti +4
An experimental and numerical smoothed particle hydrodynamics (SPH) analysis was performed for the convective flow arising from a horizontal, thin cylindrical heat source enclosed…
A discrete elasticity complex on three-dimensional Alfeld splits
Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán +1
We construct conforming finite element elasticity complexes on the Alfeld splits of tetrahedra. The complex consists of vector fields and symmetric tensor fields, interlinked via t…
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman +3
Discretization of Navier-Stokes' equations using pressure-robust finite element methods is considered for the high Reynolds number regime. To counter oscillations due to dominating…