27 citations · 56 across the 16 of their papers we have counts for
5 papers · 1 filter
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty
Erik Burman, Johnny Guzman
We consider a finite element method with symmetric stabilisation for the discretisation of the transient convection--diffusion equation. For the time-discretisation we consider eit…
Estimation of the continuity constants for Bogovski\uı and regularized Poincaré integral operators
Johnny Guzman, Abner J. Salgado
We study the dependence of the continuity constants for the regularized Poincaré and Bogovski\uı integral operators acting on differential forms defined on a domain of $\mathbb…
Exact sequences on Worsey-Farin Splits
Johnny Guzman, Anna Lischke, Michael Neilan
We construct several smooth finite element spaces defined on three--dimensional Worsey--Farin splits. In particular, we construct , $H^1(\curl)$, and -conforming finite e…
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D
Daniele Boffi, Johnny Guzman, Michael Neilan
We consider finite element approximations of the Maxwell eigenvalue problem in two dimensions. We prove, in certain settings, convergence of the discrete eigenvalues using Lagrange…
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated
Todd Dupont, Johnny Guzman, Ridgway Scott
We study two techniques for correcting the geometrical error associated with domain approximation by a polygon. The first was introduced some time ago \cite{bramble1972projection}…