27 citations · 111 across the 33 of their papers we have counts for
5 papers · 2 filters
A TraceFEM Interior Penalty Method for the Surface Biharmonic Equation
Michael Neilan, Hongzhi Wan
We construct and analyze a TraceFEM discretization for the surface biharmonic problem. The method utilizes standard quadratic Lagrange finite element spaces defined on a three-dime…
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…
An unfitted divergence-free higher order finite element method for the Stokes problem
Michael Neilan, Maxim Olshanskii, Henry von Wahl
The paper develops and analyzes a higher-order unfitted finite element method for the incompressible Stokes equations, which yields a strongly divergence-free velocity field up to…
A High-Order, Pressure-Robust, and Decoupled Finite Difference Method for the Stokes Problem
Qiwei Feng, Bin Han, Michael Neilan
In this paper, we consider the Stokes problem with Dirichlet boundary conditions and the constant kinematic viscosity in an axis-aligned domain . We decouple the velocity $\…
A Taylor-Hood finite element method for the surface Stokes problem without penalization
Alan Demlow, Michael Neilan
Finite element approximation of the velocity-pressure formulation of the surfaces Stokes equations is challenging because it is typically not possible to enforce both tangentiality…