Michael Neilan

62 papers Journal 60Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A high-order, pressure-robust, and decoupled finite difference method for the Stokes problem. Math. Comput. Simul. Qiwei Feng, Bin Han, Michael Neilan
2025	J	`jnl`	A High-Order, Pressure-Robust, and Decoupled Finite Difference Method for the Stokes Problem. CoRR Qiwei Feng, Bin Han, Michael Neilan
2025	J	`jnl`	A Taylor-Hood finite element method for the surface Stokes problem without penalization. CoRR Alan Demlow, Michael Neilan
2025	J	`jnl`	A TraceFEM C CoRR Michael Neilan, Hongzhi Wan
2025	J	`jnl`	A local Fortin projection for the Scott-Vogelius elements on general meshes. CoRR Franziska Eickmann, Johnny Guzmán, Michael Neilan, L. Ridgway Scott, Tabea Tscherpel
2025	J	`jnl`	An unfitted divergence-free higher order finite element method for the Stokes problem. CoRR Michael Neilan, Maxim A. Olshanskii, Henry von Wahl
2024	J	`jnl`	A C CoRR Michael Neilan, Hongzhi Wan
2024	J	`jnl`	A General Degree Divergence-Free Finite Element Method for the Two-Dimensional Stokes Problem on Smooth Domains. J. Sci. Comput. Rebecca Durst, Michael Neilan
2024	J	`jnl`	A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem. SIAM J. Numer. Anal. Alan Demlow, Michael Neilan
2024	J	`jnl`	General degree divergence-free finite element methods for the Stokes problem on smooth domains. CoRR Rebecca Durst, Michael Neilan
2023	J	`jnl`	A Note on the Shape Regularity of Worsey-Farin Splits. J. Sci. Comput. Sining Gong, Johnny Guzmán, Michael Neilan
2023	J	`jnl`	A divergence-free finite element method for the Stokes problem with boundary correction. J. Num. Math. Haoran Liu, Michael Neilan, M. Baris Otus
2023	J	`jnl`	A tangential and penalty-free finite element method for the surface Stokes problem. CoRR Alan Demlow, Michael Neilan
2023	J	`jnl`	An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain. CoRR Michael Neilan, Maxim A. Olshanskii
2023	J	`jnl`	Discrete Elasticity Exact Sequences on Worsey-Farin splits. CoRR Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan
2022	J	`jnl`	A Note on the Shape Regularity of Worsey-Farin Splits. CoRR Sining Gong, Johnny Guzmán, Michael Neilan
2022	J	`jnl`	Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D. CoRR Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan
2022	J	`jnl`	Exact sequences on Worsey-Farin splits. Math. Comput. Johnny Guzmán, Anna Lischke, Michael Neilan
2021	J	`jnl`	A CutFEM divergence-free discretization for the Stokes problem. CoRR Haoran Liu, Michael Neilan, Maxim A. Olshanskii
2021	J	`jnl`	A divergence-free finite element method for the Stokes problem with boundary correction. CoRR Haoran Liu, Michael Neilan, M. Baris Otus
2021	J	`jnl`	Divergence-free Scott-Vogelius Elements on Curved Domains. SIAM J. Numer. Anal. Michael Neilan, M. Baris Otus
2021	J	`jnl`	Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits. CoRR Maurice S. Fabien, Johnny Guzmán, Michael Neilan, Ahmed Zytoon
2021	J	`jnl`	The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes. CoRR Kiera Kean, Michael Neilan, Michael Schneier
2020	J	`jnl`	Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D. CoRR Daniele Boffi, Johnny Guzmán, Michael Neilan
2020	J	`jnl`	Divergence-free Scott-Vogelius elements on curved domains. CoRR Michael Neilan, M. Baris Otus
2020	J	`jnl`	Exact sequences on Worsey-Farin Splits. CoRR Johnny Guzmán, Anna Lischke, Michael Neilan
2020	J	`jnl`	Exact smooth piecewise polynomial sequences on Alfeld splits. Math. Comput. Guosheng Fu, Johnny Guzmán, Michael Neilan
2020	—	`ch.`	The Stokes complex: A review of exactly divergence-free finite element pairs for incompressible flows. 75 Years of Mathematics of Computation Michael Neilan
2019	J	`jnl`	Discrete Miranda-Talenti estimates and applications to linear and nonlinear PDEs. J. Comput. Appl. Math. Michael Neilan, Mohan Wu
2019	J	`jnl`	Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. CoRR Alexander Linke, Christian Merdon, Michael Neilan
2018	J	`jnl`	Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions. SIAM J. Numer. Anal. Johnny Guzmán, Michael Neilan
2018	J	`jnl`	Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs. J. Sci. Comput. Xiaobing Feng, Michael Neilan, Stefan Schnake
2018	J	`jnl`	Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem. Math. Comput. Alexander Linke, Christian Merdon, Michael Neilan, Felix Neumann
2018	J	`jnl`	Rates of Convergence in W SIAM J. Numer. Anal. Michael Neilan, Wujun Zhang
2017	J	`jnl`	A Posteriori Estimates Using Auxiliary Subspace Techniques. J. Sci. Comput. Harri Hakula, Michael Neilan, Jeffrey S. Ovall
2017	J	`jnl`	A \(C^0\) interior penalty method for a von Kármán plate. Numerische Mathematik Susanne C. Brenner, Michael Neilan, Armin Reiser, Li-Yeng Sung
2017	J	`jnl`	A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. J. Num. Math. Alexander Linke, Michael Neilan, Leo G. Rebholz, Nicholas E. Wilson
2017	J	`jnl`	Convergence analysis of a finite element method for second order non-variational elliptic problems. J. Num. Math. Michael Neilan
2017	J	`jnl`	Finite element methods for second order linear elliptic partial differential equations in non-divergence form. Math. Comput. Xiaobing Feng, Lauren Hennings, Michael Neilan
2017	J	`jnl`	Numerical analysis of strongly nonlinear PDEs. Acta Numer. Michael Neilan, Abner J. Salgado, Wujun Zhang
2017	J	`jnl`	On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. SIAM Rev. Volker John, Alexander Linke, Christian Merdon, Michael Neilan, Leo G. Rebholz
2016	J	`jnl`	Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. J. Comput. Appl. Math. Xiaobing Feng, Thomas L. Lewis, Michael Neilan
2016	J	`jnl`	Dual-mixed finite element methods for the stationary Boussinesq problem. Comput. Math. Appl. Eligio Colmenares, Michael Neilan
2015	J	`jnl`	Discrete and conforming smooth de Rham complexes in three dimensions. Math. Comput. Michael Neilan
2015	—	`conf`	Stable Discontinuous Galerkin FEM Without Penalty Parameters. ENUMATH Lorenz John, Michael Neilan, Iain Smears
2014	J	`jnl`	Conforming and divergence-free Stokes elements on general triangular meshes. Math. Comput. Johnny Guzmán, Michael Neilan
2014	J	`jnl`	Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method. J. Sci. Comput. Thomas L. Lewis, Michael Neilan
2014	J	`jnl`	Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. Comput. Math. Appl. Xiaobing Feng, Michael Neilan
2014	J	`jnl`	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. Michael Neilan
2014	J	`jnl`	Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions. Numerische Mathematik Johnny Guzmán, Michael Neilan
2013	J	`jnl`	Quadratic Finite Element Approximations of the Monge-Ampère Equation. J. Sci. Comput. Michael Neilan
2013	J	`jnl`	Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations. SIAM Rev. Xiaobing Feng, Roland Glowinski, Michael Neilan
2013	J	`jnl`	Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation. SIAM J. Numer. Anal. Richard S. Falk, Michael Neilan
2011	J	`jnl`	A SIAM J. Numer. Anal. Susanne C. Brenner, Michael Neilan
2011	J	`jnl`	Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation. J. Sci. Comput. Xiaobing Feng, Michael Neilan
2011	J	`jnl`	C Math. Comput. Susanne C. Brenner, Thirupathi Gudi, Michael Neilan, Li-Yeng Sung
2011	J	`jnl`	Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors. Math. Comput. Xiaobing Feng, Michael Neilan
2010	J	`jnl`	A nonconforming Morley finite element method for the fully nonlinear Monge-Ampère equation. Numerische Mathematik Michael Neilan
2009	J	`jnl`	A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations. SIAM J. Numer. Anal. Xiaobing Feng, Michael Neilan
2009	J	`jnl`	Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method. SIAM J. Numer. Anal. Xiaobing Feng, Michael Neilan
2009	J	`jnl`	Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations. J. Sci. Comput. Xiaobing Feng, Michael Neilan
2007	J	`jnl`	Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Numerische Mathematik Xiaobing Feng, Michael Neilan, Andreas Prohl