Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. - Xiaobing Feng 001; Michael Neilan; Andreas Prohl (Numerische Mathematik, 2007)

Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations. - Xiaobing Feng 001; Michael Neilan (J. Sci. Comput., 2009)

Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method. - Xiaobing Feng 001; Michael Neilan (SIAM J. Numer. Anal., 2009)

A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations. - Xiaobing Feng 001; Michael Neilan (SIAM J. Numer. Anal., 2009)

A nonconforming Morley finite element method for the fully nonlinear Monge-Ampère equation. - Michael Neilan (Numerische Mathematik, 2010)

Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation. - Xiaobing Feng 001; Michael Neilan (J. Sci. Comput., 2011)

C0 penalty methods for the fully nonlinear Monge-Ampère equation. - Susanne C. Brenner; Thirupathi Gudi; Michael Neilan; Li-Yeng Sung (Math. Comput., 2011)

Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors. - Xiaobing Feng 001; Michael Neilan (Math. Comput., 2011)

A C0 Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem. - Susanne C. Brenner; Michael Neilan (SIAM J. Numer. Anal., 2011)

Quadratic Finite Element Approximations of the Monge-Ampère Equation. - Michael Neilan (J. Sci. Comput., 2013)

Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation. - Richard S. Falk; Michael Neilan (SIAM J. Numer. Anal., 2013)

Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations. - Xiaobing Feng 001; Roland Glowinski; Michael Neilan (SIAM Rev., 2013)

Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. - Xiaobing Feng 001; Michael Neilan (Comput. Math. Appl., 2014)

Finite element methods for fully nonlinear second order PDEs based on a discrete Hessian with applications to the Monge-Ampère equation. - Michael Neilan (J. Comput. Appl. Math., 2014)

Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method. - Thomas L. Lewis; Michael Neilan (J. Sci. Comput., 2014)

Conforming and divergence-free Stokes elements on general triangular meshes. - Johnny Guzmán; Michael Neilan (Math. Comput., 2014)

Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions. - Johnny Guzmán; Michael Neilan (Numerische Mathematik, 2014)

Stable Discontinuous Galerkin FEM Without Penalty Parameters. - Lorenz John; Michael Neilan; Iain Smears (ENUMATH, 2015)

Discrete and conforming smooth de Rham complexes in three dimensions. - Michael Neilan (Math. Comput., 2015)

Dual-mixed finite element methods for the stationary Boussinesq problem. - Eligio Colmenares; Michael Neilan (Comput. Math. Appl., 2016)

Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. - Xiaobing Feng 001; Thomas L. Lewis; Michael Neilan (J. Comput. Appl. Math., 2016)

Numerical analysis of strongly nonlinear PDEs. - Michael Neilan; Abner J. Salgado; Wujun Zhang (Acta Numer., 2017)

A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. - Alexander Linke; Michael Neilan; Leo G. Rebholz; Nicholas E. Wilson (J. Num. Math., 2017)

Convergence analysis of a finite element method for second order non-variational elliptic problems. - Michael Neilan (J. Num. Math., 2017)

A Posteriori Estimates Using Auxiliary Subspace Techniques. - Harri Hakula; Michael Neilan; Jeffrey S. Ovall (J. Sci. Comput., 2017)

Finite element methods for second order linear elliptic partial differential equations in non-divergence form. - Xiaobing Feng 001; Lauren Hennings; Michael Neilan (Math. Comput., 2017)

A (C^0 ) interior penalty method for a von Kármán plate. - Susanne C. Brenner; Michael Neilan; Armin Reiser; Li-Yeng Sung (Numerische Mathematik, 2017)

On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. - Volker John; Alexander Linke; Christian Merdon; Michael Neilan; Leo G. Rebholz (SIAM Rev., 2017)

Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs. - Xiaobing Feng 001; Michael Neilan; Stefan Schnake (J. Sci. Comput., 2018)

Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem. - Alexander Linke; Christian Merdon; Michael Neilan; Felix Neumann (Math. Comput., 2018)

Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions. - Johnny Guzmán; Michael Neilan (SIAM J. Numer. Anal., 2018)

Rates of Convergence in W2p-Norm for the Monge-Ampère Equation. - Michael Neilan; Wujun Zhang (SIAM J. Numer. Anal., 2018)

Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. - Alexander Linke; Christian Merdon; Michael Neilan (CoRR, 2019)

Discrete Miranda-Talenti estimates and applications to linear and nonlinear PDEs. - Michael Neilan; Mohan Wu (J. Comput. Appl. Math., 2019)

The Stokes complex: A review of exactly divergence-free finite element pairs for incompressible flows. - Michael Neilan (75 Years of Mathematics of Computation, 2020)

Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D. - Daniele Boffi; Johnny Guzmán; Michael Neilan (CoRR, 2020)

Exact smooth piecewise polynomial sequences on Alfeld splits. - Guosheng Fu; Johnny Guzmán; Michael Neilan (Math. Comput., 2020)

Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits. - Maurice S. Fabien; Johnny Guzmán; Michael Neilan; Ahmed Zytoon (CoRR, 2021)

The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes. - Kiera Kean; Michael Neilan; Michael Schneier (CoRR, 2021)

A CutFEM divergence-free discretization for the Stokes problem. - Haoran Liu; Michael Neilan; Maxim A. Olshanskii (CoRR, 2021)

Divergence-free Scott-Vogelius Elements on Curved Domains. - Michael Neilan; M. Baris Otus (SIAM J. Numer. Anal., 2021)

Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D. - Daniele Boffi; Sining Gong; Johnny Guzmán; Michael Neilan (CoRR, 2022)

Exact sequences on Worsey-Farin splits. - Johnny Guzmán; Anna Lischke; Michael Neilan (Math. Comput., 2022)

Discrete Elasticity Exact Sequences on Worsey-Farin splits. - Sining Gong; Jay Gopalakrishnan; Johnny Guzmán; Michael Neilan (CoRR, 2023)

An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain. - Michael Neilan; Maxim A. Olshanskii (CoRR, 2023)

A Note on the Shape Regularity of Worsey-Farin Splits. - Sining Gong; Johnny Guzmán; Michael Neilan (J. Sci. Comput., 2023)

A divergence-free finite element method for the Stokes problem with boundary correction. - Haoran Liu; Michael Neilan; M. Baris Otus (J. Num. Math., 2023)

General degree divergence-free finite element methods for the Stokes problem on smooth domains. - Rebecca Durst; Michael Neilan (CoRR, 2024)

A C0 interior penalty method for the stream function formulation of the surface Stokes problem. - Michael Neilan; Hongzhi Wan (CoRR, 2024)

A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem. - Alan Demlow; Michael Neilan (SIAM J. Numer. Anal., 2024)

A General Degree Divergence-Free Finite Element Method for the Two-Dimensional Stokes Problem on Smooth Domains. - Rebecca Durst; Michael Neilan (J. Sci. Comput., 2024)

A High-Order, Pressure-Robust, and Decoupled Finite Difference Method for the Stokes Problem. - Qiwei Feng; Bin Han; Michael Neilan (CoRR, 2025)

A Taylor-Hood finite element method for the surface Stokes problem without penalization. - Alan Demlow; Michael Neilan (CoRR, 2025)