6 citations · 14 across the 10 of their papers we have counts for
11 papers
Discrete Elasticity Exact Sequences on Worsey-Farin Splits
Sining Gong, Jay Gopalakrishnan, Johnny Guzmán +1
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 e…
Continuous Interior Penalty stabilization for divergence-free finite element methods
Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres +1
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 O…
A Note on the Shape Regularity of Worsey-Farin Splits
Sining Gong, Johnny Guzmán, Michael Neilan
We prove three-dimensional Worsey-Farin refinements inherit their parent triangulations' shape-regularity.
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…
Hybridization and postprocessing in finite element exterior calculus
Gerard Awanou, Maurice Fabien, Johnny Guzmán +1
We hybridize the methods of finite element exterior calculus for the Hodge-Laplace problem on differential -forms in . In the cases and , we recover…
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…
On the consistency of the combinatorial codifferential
Douglas N. Arnold, Richard S. Falk, Johnny Guzmán +1
In 1976, Dodziuk and Patodi employed Whitney forms to define a combinatorial codifferential operator on cochains, and they raised the question whether it is consistent in the sense…
Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods
Thirupathi Gudi, Johnny Guzmán
In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinu…