Michael Neilan

According to our database, Michael Neilan authored at least 48 papers between 2007 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem.

Alan Demlow, Michael Neilan

SIAM J. Numer. Anal., February, 2024

2023

A divergence-free finite element method for the Stokes problem with boundary correction.

Haoran Liu, Michael Neilan, M. Baris Otus

J. Num. Math., June, 2023

A Note on the Shape Regularity of Worsey-Farin Splits.

Sining Gong, Johnny Guzmán, Michael Neilan

J. Sci. Comput., May, 2023

An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain.

Michael Neilan, Maxim A. Olshanskii

CoRR, 2023

Discrete Elasticity Exact Sequences on Worsey-Farin splits.

Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan

CoRR, 2023

2022

Exact sequences on Worsey-Farin splits.

Johnny Guzmán, Anna Lischke, Michael Neilan

Math. Comput., 2022

Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D.

Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan

CoRR, 2022

2021

Divergence-free Scott-Vogelius Elements on Curved Domains.

Michael Neilan, M. Baris Otus

SIAM J. Numer. Anal., 2021

A CutFEM divergence-free discretization for the Stokes problem.

Haoran Liu, Michael Neilan, Maxim A. Olshanskii

CoRR, 2021

The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes.

Kiera Kean, Michael Neilan, Michael Schneier

CoRR, 2021

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

Maurice Fabien, Johnny Guzmán, Michael Neilan, Ahmed Zytoon

CoRR, 2021

2020

Exact smooth piecewise polynomial sequences on Alfeld splits.

Guosheng Fu, Johnny Guzmán, Michael Neilan

Math. Comput., 2020

Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D.

Daniele Boffi, Johnny Guzmán, Michael Neilan

CoRR, 2020

The Stokes complex: A review of exactly divergence-free finite element pairs for incompressible flows.

Michael Neilan

Proceedings of the 75 Years of Mathematics of Computation, 2020

2019

Discrete Miranda-Talenti estimates and applications to linear and nonlinear PDEs.

Michael Neilan, Mohan Wu

J. Comput. Appl. Math., 2019

Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem.

Alexander Linke, Christian Merdon, Michael Neilan

CoRR, 2019

2018

Rates of Convergence in W^2_p-Norm for the Monge-Ampère Equation.

Michael Neilan, Wujun Zhang

SIAM J. Numer. Anal., 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

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

Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs.

Xiaobing Feng, Michael Neilan, Stefan Schnake

J. Sci. Comput., 2018

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

A \(C^0\) interior penalty method for a von Kármán plate.

Susanne C. Brenner, Michael Neilan, Armin Reiser, Li-Yeng Sung

Numerische Mathematik, 2017

Finite element methods for second order linear elliptic partial differential equations in non-divergence form.

Xiaobing Feng, Lauren Hennings, Michael Neilan

Math. Comput., 2017

A Posteriori Estimates Using Auxiliary Subspace Techniques.

Harri Hakula, Michael Neilan, Jeffrey S. Ovall

J. Sci. Comput., 2017

Convergence analysis of a finite element method for second order non-variational elliptic problems.

Michael Neilan

J. Num. Math., 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

Numerical analysis of strongly nonlinear PDEs.

Michael Neilan, Abner J. Salgado, Wujun Zhang

Acta Numer., 2017

2016

Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations.

Xiaobing Feng, Thomas L. Lewis, Michael Neilan

J. Comput. Appl. Math., 2016

Dual-mixed finite element methods for the stationary Boussinesq problem.

Eligio Colmenares, Michael Neilan

Comput. Math. Appl., 2016

2015

Discrete and conforming smooth de Rham complexes in three dimensions.

Michael Neilan

Math. Comput., 2015

Stable Discontinuous Galerkin FEM Without Penalty Parameters.

Lorenz John, Michael Neilan, Iain Smears

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014

Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions.

Johnny Guzmán, Michael Neilan

Numerische Mathematik, 2014

Conforming and divergence-free Stokes elements on general triangular meshes.

Johnny Guzmán, Michael Neilan

Math. Comput., 2014

Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method.

Thomas L. Lewis, Michael Neilan

J. Sci. Comput., 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

Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method.

Xiaobing Feng, Michael Neilan

Comput. Math. Appl., 2014

2013

Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations.

Xiaobing Feng, Roland Glowinski, Michael Neilan

SIAM Rev., 2013

Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation.

Richard S. Falk, Michael Neilan

SIAM J. Numer. Anal., 2013

Quadratic Finite Element Approximations of the Monge-Ampère Equation.

Michael Neilan

J. Sci. Comput., 2013

2011

A <i>C</i>⁰ Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem.

Susanne C. Brenner, Michael Neilan

SIAM J. Numer. Anal., 2011

Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors.

Xiaobing Feng, Michael Neilan

Math. 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

Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation.

Xiaobing Feng, Michael Neilan

J. Sci. Comput., 2011

2010

A nonconforming Morley finite element method for the fully nonlinear Monge-Ampère equation.

Michael Neilan

Numerische Mathematik, 2010

2009

A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations.

Xiaobing Feng, Michael Neilan

SIAM J. Numer. Anal., 2009

Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method.

Xiaobing Feng, Michael Neilan

SIAM J. Numer. Anal., 2009

Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations.

Xiaobing Feng, Michael Neilan

J. Sci. Comput., 2009

2007

Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity.

Xiaobing Feng, Michael Neilan, Andreas Prohl

Numerische Mathematik, 2007