3 citations · 5 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes
Kiera Kean, Michael Neilan, Michael Schneier
This paper analyzes the Scott-Vogelius divergence-free element pair on anisotropic meshes. Weexplore the behavior of the inf-sup stability constant with respect to the aspect ratio…
A divergence-free finite element method for the Stokes problem with boundary correction
Haoran Liu, Michael Neilan, Baris Otus
This paper constructs and analyzes a boundary correction finite element method for the Stokes problem based on the Scott-Vogelius pair on Clough-Tocher splits. The velocity space c…
Divergence--free Scott--Vogelius elements on curved domains
Michael Neilan, M. Baris Otus
We construct and analyze an isoparametric finite element pair for the Stokes problem in two dimensions. The pair is defined by mapping the Scott-Vogelius finite element space via a…
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…