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ORCIDMichael Neilan
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2020 – today
- 2024
[j39]Rebecca Durst
, Michael Neilan:
A General Degree Divergence-Free Finite Element Method for the Two-Dimensional Stokes Problem on Smooth Domains. J. Sci. Comput. 101(2): 33 (2024)- [j38]Alan Demlow, Michael Neilan:
A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem. SIAM J. Numer. Anal. 62(1): 248-272 (2024) - [i14]Rebecca Durst, Michael Neilan:
General degree divergence-free finite element methods for the Stokes problem on smooth domains. CoRR abs/2404.14226 (2024) - 2023
- [j37]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): 105-124 (2023) - [j36]Sining Gong, Johnny Guzmán, Michael Neilan:
A Note on the Shape Regularity of Worsey-Farin Splits. J. Sci. Comput. 95(2): 46 (2023) - [i13]Sining Gong, Jay Gopalakrishnan, Johnny Guzmán, Michael Neilan:
Discrete Elasticity Exact Sequences on Worsey-Farin splits. CoRR abs/2302.08598 (2023) - [i12]Alan Demlow, Michael Neilan:
A tangential and penalty-free finite element method for the surface Stokes problem. CoRR abs/2307.01435 (2023) - [i11]Michael Neilan, Maxim A. Olshanskii:
An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain. CoRR abs/2308.01444 (2023) - 2022
- [j35]Johnny Guzmán, Anna Lischke, Michael Neilan:
Exact sequences on Worsey-Farin splits. Math. Comput. 91(338): 2571-2608 (2022) - [i10]Daniele Boffi, Sining Gong, Johnny Guzmán, Michael Neilan:
Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D. CoRR abs/2204.10876 (2022) - [i9]Sining Gong, Johnny Guzmán, Michael Neilan:
A Note on the Shape Regularity of Worsey-Farin Splits. CoRR abs/2205.05059 (2022) - 2021
- [j34]Michael Neilan, M. Baris Otus:
Divergence-free Scott-Vogelius Elements on Curved Domains. SIAM J. Numer. Anal. 59(2): 1090-1116 (2021) - [i8]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 abs/2105.09214 (2021) - [i7]Haoran Liu, Michael Neilan, M. Baris Otus:
A divergence-free finite element method for the Stokes problem with boundary correction. CoRR abs/2105.10409 (2021) - [i6]Kiera Kean, Michael Neilan, Michael Schneier:
The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes. CoRR abs/2109.14780 (2021) - [i5]Haoran Liu, Michael Neilan, Maxim A. Olshanskii:
A CutFEM divergence-free discretization for the Stokes problem. CoRR abs/2110.11456 (2021) - 2020
- [j33]Guosheng Fu, Johnny Guzmán, Michael Neilan:
Exact smooth piecewise polynomial sequences on Alfeld splits. Math. Comput. 89(323): 1059-1091 (2020) - [p1]Michael Neilan:
The Stokes complex: A review of exactly divergence-free finite element pairs for incompressible flows. 75 Years of Mathematics of Computation 2020 - [i4]Daniele Boffi, Johnny Guzmán, Michael Neilan:
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D. CoRR abs/2003.08381 (2020) - [i3]Johnny Guzmán, Anna Lischke, Michael Neilan:
Exact sequences on Worsey-Farin Splits. CoRR abs/2008.05431 (2020) - [i2]Michael Neilan, M. Baris Otus:
Divergence-free Scott-Vogelius elements on curved domains. CoRR abs/2008.06429 (2020)
2010 – 2019
- 2019
- [j32]Michael Neilan, Mohan Wu:
Discrete Miranda-Talenti estimates and applications to linear and nonlinear PDEs. J. Comput. Appl. Math. 356: 358-376 (2019) - [i1]Alexander Linke, Christian Merdon, Michael Neilan:
Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. CoRR abs/1906.03009 (2019) - 2018
- [j31]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): 1651-1676 (2018) - [j30]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): 1543-1566 (2018) - [j29]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): 2826-2844 (2018) - [j28]Michael Neilan, Wujun Zhang:
Rates of Convergence in W2p-Norm for the Monge-Ampère Equation. SIAM J. Numer. Anal. 56(5): 3099-3120 (2018) - 2017
- [j27]Michael Neilan, Abner J. Salgado, Wujun Zhang:
Numerical analysis of strongly nonlinear PDEs. Acta Numer. 26: 137-303 (2017) - [j26]Michael Neilan:
Convergence analysis of a finite element method for second order non-variational elliptic problems. J. Num. Math. 25(3): 169-184 (2017) - [j25]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): 229-248 (2017) - [j24]Harri Hakula, Michael Neilan, Jeffrey S. Ovall:
A Posteriori Estimates Using Auxiliary Subspace Techniques. J. Sci. Comput. 72(1): 97-127 (2017) - [j23]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): 2025-2051 (2017) - [j22]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): 803-832 (2017) - [j21]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): 492-544 (2017) - 2016
- [j20]Eligio Colmenares, Michael Neilan:
Dual-mixed finite element methods for the stationary Boussinesq problem. Comput. Math. Appl. 72(7): 1828-1850 (2016) - [j19]Xiaobing Feng, Thomas L. 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: 68-91 (2016) - 2015
- [j18]Michael Neilan:
Discrete and conforming smooth de Rham complexes in three dimensions. Math. Comput. 84(295): 2059-2081 (2015) - [c1]Lorenz John, Michael Neilan, Iain Smears:
Stable Discontinuous Galerkin FEM Without Penalty Parameters. ENUMATH 2015: 165-173 - 2014
- [j17]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): 2182-2204 (2014) - [j16]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: 351-369 (2014) - [j15]Thomas L. Lewis, Michael Neilan:
Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method. J. Sci. Comput. 59(3): 602-625 (2014) - [j14]Johnny Guzmán, Michael Neilan:
Conforming and divergence-free Stokes elements on general triangular meshes. Math. Comput. 83(285): 15-36 (2014) - [j13]Johnny Guzmán, Michael Neilan:
Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions. Numerische Mathematik 126(1): 153-171 (2014) - 2013
- [j12]Michael Neilan:
Quadratic Finite Element Approximations of the Monge-Ampère Equation. J. Sci. Comput. 54(1): 200-226 (2013) - [j11]Richard S. Falk, Michael Neilan:
Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation. SIAM J. Numer. Anal. 51(2): 1308-1326 (2013) - [j10]Xiaobing Feng, Roland Glowinski, Michael Neilan:
Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations. SIAM Rev. 55(2): 205-267 (2013) - 2011
- [j9]Xiaobing Feng, Michael Neilan:
Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation. J. Sci. Comput. 47(3): 303-327 (2011) - [j8]Xiaobing Feng, Michael Neilan:
Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors. Math. Comput. 80(275): 1303-1333 (2011) - [j7]Susanne C. Brenner, Thirupathi Gudi, Michael Neilan, Li-Yeng Sung:
C0 penalty methods for the fully nonlinear Monge-Ampère equation. Math. Comput. 80(276): 1979-1995 (2011) - [j6]Susanne C. Brenner, Michael Neilan:
A C0 Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem. SIAM J. Numer. Anal. 49(2): 869-892 (2011) - 2010
- [j5]Michael Neilan:
A nonconforming Morley finite element method for the fully nonlinear Monge-Ampère equation. Numerische Mathematik 115(3): 371-394 (2010)
2000 – 2009
- 2009
- [j4]Xiaobing Feng, Michael Neilan:
Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations. J. Sci. Comput. 38(1): 74-98 (2009) - [j3]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): 1226-1250 (2009) - [j2]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): 2952-2981 (2009) - 2007
- [j1]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): 93-119 (2007)
Coauthor Index
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