M. Neilan

activity

20072026

most citedLow-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits

27 citations · 111 across the 33 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.NA2017

Rates of convergence in $W_{p}^{2}$ -norm for the Monge-Ampère equation

Michael Neilan, Wujun Zhang

We develop discrete $W_{p}^{2}$ -norm error estimates for the Oliker-Prussner method applied to the Monge-Ampère equation. This is obtained by extending discrete Alexandroff estimates a…

math.NA2017

Inf-sup stable finite elements on barycentric refinements producing divergence--free approximations in arbitrary dimensions

Johnny Guzman, Michael Neilan

We construct several stable finite element pairs for the Stokes problem on barycentric refinements in arbitrary dimensions. A key feature of the spaces is that the divergence maps…

Rates of convergence in Wp2​-norm for the Monge-Ampère equation

Inf-sup stable finite elements on barycentric refinements producing divergence--free approximations in arbitrary dimensions

Rates of convergence in $W_{p}^{2}$ -norm for the Monge-Ampère equation