Michael Neilan
Orcid: 0000-0002-1564-1041
According to our database1,
Michael Neilan
authored at least 51 papers
between 2007 and 2024.
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Bibliography
2024
A General Degree Divergence-Free Finite Element Method for the Two-Dimensional Stokes Problem on Smooth Domains.
J. Sci. Comput., November, 2024
SIAM J. Numer. Anal., February, 2024
A C<sup>0</sup> interior penalty method for the stream function formulation of the surface Stokes problem.
CoRR, 2024
General degree divergence-free finite element methods for the Stokes problem on smooth domains.
CoRR, 2024
2023
A divergence-free finite element method for the Stokes problem with boundary correction.
J. Num. Math., June, 2023
An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain.
CoRR, 2023
2022
CoRR, 2022
2021
SIAM J. Numer. Anal., 2021
Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits.
CoRR, 2021
2020
CoRR, 2020
The Stokes complex: A review of exactly divergence-free finite element pairs for incompressible flows.
Proceedings of the 75 Years of Mathematics of Computation, 2020
2019
J. Comput. Appl. Math., 2019
CoRR, 2019
2018
Rates of Convergence in W<sup>2<sub>p</sub></sup>-Norm for the Monge-Ampère Equation.
SIAM J. Numer. Anal., 2018
Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence-Free Approximations in Arbitrary Dimensions.
SIAM J. Numer. Anal., 2018
Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem.
Math. Comput., 2018
Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs.
J. Sci. Comput., 2018
2017
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows.
SIAM Rev., 2017
Numerische Mathematik, 2017
Finite element methods for second order linear elliptic partial differential equations in non-divergence form.
Math. Comput., 2017
Convergence analysis of a finite element method for second order non-variational elliptic problems.
J. Num. Math., 2017
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations.
J. Num. Math., 2017
2016
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations.
J. Comput. Appl. Math., 2016
Comput. Math. Appl., 2016
2015
Math. Comput., 2015
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.
Numerische Mathematik, 2014
Math. Comput., 2014
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.
J. Comput. Appl. Math., 2014
Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method.
Comput. Math. Appl., 2014
2013
Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations.
SIAM Rev., 2013
Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation.
SIAM J. Numer. Anal., 2013
J. Sci. Comput., 2013
2011
A <i>C</i><sup>0</sup> Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem.
SIAM J. Numer. Anal., 2011
Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors.
Math. Comput., 2011
Math. Comput., 2011
J. Sci. Comput., 2011
2010
A nonconforming Morley finite element method for the fully nonlinear Monge-Ampère equation.
Numerische Mathematik, 2010
2009
A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations.
SIAM J. Numer. Anal., 2009
Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method.
SIAM J. Numer. Anal., 2009
Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations.
J. Sci. Comput., 2009
2007
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity.
Numerische Mathematik, 2007