On the divergence constraint in mixed finite element methods for incompressible flows V John, A Linke, C Merdon, M Neilan, LG Rebholz SIAM review 59 (3), 492-544, 2017 | 425 | 2017 |
Conforming and divergence-free Stokes elements on general triangular meshes J Guzmán, M Neilan Mathematics of Computation 83 (285), 15-36, 2014 | 198 | 2014 |
Stokes complexes and the construction of stable finite elements with pointwise mass conservation RS Falk, M Neilan SIAM Journal on Numerical Analysis 51 (2), 1308-1326, 2013 | 176 | 2013 |
Recent developments in numerical methods for fully nonlinear second order partial differential equations X Feng, R Glowinski, M Neilan siam REVIEW 55 (2), 205-267, 2013 | 151 | 2013 |
Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations X Feng, M Neilan Journal of Scientific Computing 38 (1), 74-98, 2009 | 126 | 2009 |
Mixed finite element methods for the fully nonlinear Monge–Ampère equation based on the vanishing moment method X Feng, M Neilan SIAM Journal on Numerical Analysis 47 (2), 1226-1250, 2009 | 117 | 2009 |
Conforming and divergence-free Stokes elements in three dimensions J Guzmán, M Neilan IMA Journal of Numerical Analysis 34 (4), 1489-1508, 2014 | 112 | 2014 |
𝒞⁰ penalty methods for the fully nonlinear Monge-Ampère equation S Brenner, T Gudi, M Neilan, L Sung Mathematics of Computation 80 (276), 1979-1995, 2011 | 108 | 2011 |
Discrete and conforming smooth de Rham complexes in three dimensions M Neilan Mathematics of Computation 84 (295), 2059-2081, 2015 | 94 | 2015 |
A family of nonconforming elements for the Brinkman problem G Johnny, N Michael IMA Journal of Numerical Analysis 32 (4), 1484-1508, 2012 | 80 | 2012 |
Numerical analysis of strongly nonlinear PDEs M Neilan, AJ Salgado, W Zhang Acta Numerica 26, 137-303, 2017 | 67 | 2017 |
Inf-sup stable finite elements on barycentric refinements producing divergence--free approximations in arbitrary dimensions J Guzmán, M Neilan SIAM Journal on Numerical Analysis 56 (5), 2826-2844, 2018 | 63 | 2018 |
A Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem SC Brenner, M Neilan SIAM journal on numerical analysis 49 (2), 869-892, 2011 | 57 | 2011 |
Finite element approximations of the three dimensional Monge-Ampere equation SC Brenner, M Neilan ESAIM: Mathematical Modelling and Numerical Analysis 46 (5), 979-1001, 2012 | 56 | 2012 |
Dual-mixed finite element methods for the stationary Boussinesq problem E Colmenares, M Neilan Computers & Mathematics with Applications 72 (7), 1828-1850, 2016 | 54 | 2016 |
Exact smooth piecewise polynomial sequences on Alfeld splits G Fu, J Guzmán, M Neilan Mathematics of Computation 89 (323), 1059-1091, 2020 | 52 | 2020 |
Analysis of Galerkin methods for the fully nonlinear Monge-Ampere equation X Feng, M Neilan Journal of Scientific Computing 47 (3), 303-327, 2011 | 51 | 2011 |
An interior penalty method for a sixth-order elliptic equation T Gudi, M Neilan IMA journal of numerical analysis 31 (4), 1734-1753, 2011 | 42 | 2011 |
Finite element methods for second order linear elliptic partial differential equations in non-divergence form X Feng, L Hennings, M Neilan Mathematics of Computation 86 (307), 2025-2051, 2017 | 41* | 2017 |
Stokes elements on cubic meshes yielding divergence-free approximations M Neilan, D Sap Calcolo 53, 263-283, 2016 | 41 | 2016 |