7 citations · 11 across the 6 of their papers we have counts for
4 papers · 1 filter
Moment Methods for Advection on Networks and an Application to Forest Pest Life Cycle Models
Rujeko Chinomona, Kiera Kean, Benjamin Seibold +1
This paper develops low-dimensional moment methods for advective problems on networks of domains. The evolution of a density function is described by a linear advection-diffusion-r…
A Doubly Adaptive Penalty Method for the Navier Stokes Equations
Kiera Kean, Xihui Xie, Shuxian Xu
We develop, analyze and test adaptive penalty parameter methods. We prove unconditional stability for velocity when adapting the penalty parameter, and stability of the veloci…
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…
Error Analysis of Supremizer Pressure Recovery for POD based Reduced Order Models of the time-dependent Navier-Stokes Equations
Kiera Kean, Michael Schneier
For incompressible flow models, the pressure term serves as a Lagrange multiplier to ensure that the incompressibility constraint is satisfied. In engineering applications, the pre…