4 citations · 4 across the 8 of their papers we have counts for
5 papers · 1 filter
A Mathematical Primer on Water Ice
L. Ridgway Scott
Water adopts many different crystal structures in its solid form. These provide insight into potential structures of water even in its liquid phase, and they can be used to calibra…
A local Fortin projection for the Scott-Vogelius elements on general meshes
Franziska Eickmann, Johnny Guzmán, Michael Neilan +2
We construct a local Fortin projection for the Scott-Vogelius finite element pair for polynomial degree on general shape-regular triangulations in two dimensions. In part…
Kinetic energy instability of pipe flow in finite domains
Chiara Giraudo, Ingeborg G. Gjerde, Miroslav Kuchta +1
The instability of pipe flow has been a subject of extensive research, yet a significant gap remains between experimental observations and theoretical predictions. This study revis…
Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions
Franziska Eickmann, L. Ridgway Scott, Tabea Tscherpel
We present quasi-optimal a priori error estimates for general mixed finite element methods to approximate solutions of the Stokes problem subject to inhomogeneous Dirichlet boundar…
Benchmark stress tests for flow past a cylinder at higher Reynolds numbers using EMAC
Henry von Wahl, Leo G. Rebholz, L. Ridgway Scott
We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder at Reynolds numbers 500 and 1000, where the solution is observed to be periodic when the pr…