Michael Neilan

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 34

Top Topics

Temperature Field

Diffuse Optical Tomography

Numerical Solution

Partial Differential Equations

Top Venues

SIAM J. Numer. Anal.

J. Sci. Comput.

Publications

Alan Demlow, Michael Neilan
A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem. SIAM J. Numer. Anal. 62 (1) (2024)
Rebecca Durst, Michael Neilan
General degree divergence-free finite element methods for the Stokes problem on smooth domains. CoRR (2024)
Sining Gong, Johnny Guzmán, Michael Neilan
A Note on the Shape Regularity of Worsey-Farin Splits. J. Sci. Comput. 95 (2) (2023)
Alan Demlow, Michael Neilan
A tangential and penalty-free finite element method for the surface Stokes problem. CoRR (2023)
Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan
Discrete Elasticity Exact Sequences on Worsey-Farin splits. CoRR (2023)
Haoran Liu, Michael Neilan, M. Baris Otus
A divergence-free finite element method for the Stokes problem with boundary correction. J. Num. Math. 31 (2) (2023)
Michael Neilan, Maxim A. Olshanskii
An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain. CoRR (2023)
Sining Gong, Johnny Guzmán, Michael Neilan
A Note on the Shape Regularity of Worsey-Farin Splits. CoRR (2022)
Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan
Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D. CoRR (2022)
Johnny Guzmán, Anna Lischke, Michael Neilan
Exact sequences on Worsey-Farin splits. Math. Comput. 91 (338) (2022)
Haoran Liu, Michael Neilan, Maxim A. Olshanskii
A CutFEM divergence-free discretization for the Stokes problem. CoRR (2021)
Michael Neilan, M. Baris Otus
Divergence-free Scott-Vogelius Elements on Curved Domains. SIAM J. Numer. Anal. 59 (2) (2021)
Maurice Fabien, Johnny Guzmán, Michael Neilan, Ahmed Zytoon
Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits. CoRR (2021)
Haoran Liu, Michael Neilan, M. Baris Otus
A divergence-free finite element method for the Stokes problem with boundary correction. CoRR (2021)
Kiera Kean, Michael Neilan, Michael Schneier
The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes. CoRR (2021)
Michael Neilan, M. Baris Otus
Divergence-free Scott-Vogelius elements on curved domains. CoRR (2020)
Johnny Guzmán, Anna Lischke, Michael Neilan
Exact sequences on Worsey-Farin Splits. CoRR (2020)
Daniele Boffi, Johnny Guzmán, Michael Neilan
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D. CoRR (2020)
Guosheng Fu, Johnny Guzmán, Michael Neilan
Exact smooth piecewise polynomial sequences on Alfeld splits. Math. Comput. 89 (323) (2020)
Michael Neilan, Mohan Wu
Discrete Miranda-Talenti estimates and applications to linear and nonlinear PDEs. J. Comput. Appl. Math. 356 (2019)
Alexander Linke, Christian Merdon, Michael Neilan
Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. CoRR (2019)
Xiaobing Feng, Michael Neilan, Stefan Schnake
Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs. J. Sci. Comput. 74 (3) (2018)
Alexander Linke, Christian Merdon, Michael Neilan, Felix Neumann
Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem. Math. Comput. 87 (312) (2018)
Michael Neilan, Wujun Zhang
-Norm for the Monge-Ampère Equation. SIAM J. Numer. Anal. 56 (5) (2018)
Johnny Guzmán, Michael Neilan
Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions. SIAM J. Numer. Anal. 56 (5) (2018)
Michael Neilan
Convergence analysis of a finite element method for second order non-variational elliptic problems. J. Num. Math. 25 (3) (2017)
Alexander Linke, Michael Neilan, Leo G. Rebholz, Nicholas E. Wilson
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. J. Num. Math. 25 (4) (2017)
Volker John, Alexander Linke, Christian Merdon, Michael Neilan, Leo G. Rebholz
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. SIAM Rev. 59 (3) (2017)
Xiaobing Feng, Lauren Hennings, Michael Neilan
Finite element methods for second order linear elliptic partial differential equations in non-divergence form. Math. Comput. 86 (307) (2017)
Harri Hakula, Michael Neilan, Jeffrey S. Ovall
A Posteriori Estimates Using Auxiliary Subspace Techniques. J. Sci. Comput. 72 (1) (2017)
Susanne C. Brenner, Michael Neilan, Armin Reiser, Li-Yeng Sung
A \(C^0\) interior penalty method for a von Kármán plate. Numerische Mathematik 135 (3) (2017)
Michael Neilan, Abner J. Salgado, Wujun Zhang
Numerical analysis of strongly nonlinear PDEs. Acta Numer. 26 (2017)
Xiaobing Feng, Thomas Lewis, Michael Neilan
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. J. Comput. Appl. Math. 299 (2016)
Eligio Colmenares, Michael Neilan
Dual-mixed finite element methods for the stationary Boussinesq problem. Comput. Math. Appl. 72 (7) (2016)
Lorenz John, Michael Neilan, Iain Smears
Stable Discontinuous Galerkin FEM Without Penalty Parameters. ENUMATH (2015)
Michael Neilan
Discrete and conforming smooth de Rham complexes in three dimensions. Math. Comput. 84 (295) (2015)
Thomas Lewis, Michael Neilan
Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method. J. Sci. Comput. 59 (3) (2014)
Johnny Guzmán, Michael Neilan
Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions. Numerische Mathematik 126 (1) (2014)
Michael Neilan
Finite element methods for fully nonlinear second order PDEs based on a discrete Hessian with applications to the Monge-Ampère equation. J. Comput. Appl. Math. 263 (2014)
Xiaobing Feng, Michael Neilan
Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. Comput. Math. Appl. 68 (12) (2014)
Johnny Guzmán, Michael Neilan
Conforming and divergence-free Stokes elements on general triangular meshes. Math. Comput. 83 (285) (2014)
Richard S. Falk, Michael Neilan
Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation. SIAM J. Numer. Anal. 51 (2) (2013)
Xiaobing Feng, Roland Glowinski, Michael Neilan
Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations. SIAM Rev. 55 (2) (2013)
Michael Neilan
Quadratic Finite Element Approximations of the Monge-Ampère Equation. J. Sci. Comput. 54 (1) (2013)
Xiaobing Feng, Michael Neilan
Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors. Math. Comput. 80 (275) (2011)
Susanne C. Brenner, Michael Neilan
Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem. SIAM J. Numer. Anal. 49 (2) (2011)
Xiaobing Feng, Michael Neilan
Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation. J. Sci. Comput. 47 (3) (2011)
Susanne C. Brenner, Thirupathi Gudi, Michael Neilan, Li-Yeng Sung
penalty methods for the fully nonlinear Monge-Ampère equation. Math. Comput. 80 (276) (2011)
Michael Neilan
A nonconforming Morley finite element method for the fully nonlinear Monge-Ampère equation. Numerische Mathematik 115 (3) (2010)
Xiaobing Feng, Michael Neilan
A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations. SIAM J. Numer. Anal. 47 (4) (2009)
Xiaobing Feng, Michael Neilan
Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations. J. Sci. Comput. 38 (1) (2009)
Xiaobing Feng, Michael Neilan
Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method. SIAM J. Numer. Anal. 47 (2) (2009)
Xiaobing Feng, Michael Neilan, Andreas Prohl
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Numerische Mathematik 108 (1) (2007)