Michael Neilan

Michael Neilan

University of Pittsburgh

H-index: 29

North America-United States

About Michael Neilan

Michael Neilan, With an exceptional h-index of 29 and a recent h-index of 22 (since 2020), a distinguished researcher at University of Pittsburgh, specializes in the field of Numerical Analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

General degree divergence-free finite element methods for the Stokes problem on smooth domains

A tangential and penalty-free finite element method for the surface Stokes problem

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

Discrete elasticity exact sequences on Worsey–Farin splits

Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D

A stable and -conforming divergence-free finite element pair for the Stokes problem using isoparametric mappings

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

A note on the shape regularity of Worsey–Farin splits

Michael Neilan Information

University

Position

Department of Mathematics

Citations(all)

2724

Citations(since 2020)

1724

Cited By

1757

hIndex(all)

29

hIndex(since 2020)

22

i10Index(all)

53

i10Index(since 2020)

41

Email

University Profile Page

Google Scholar

Michael Neilan Skills & Research Interests

Numerical Analysis

Top articles of Michael Neilan

General degree divergence-free finite element methods for the Stokes problem on smooth domains

arXiv preprint arXiv:2404.14226

2024/4/22

Michael Neilan
Michael Neilan

H-Index: 21

A tangential and penalty-free finite element method for the surface Stokes problem

SIAM Journal on Numerical Analysis

2024/2/29

Michael Neilan
Michael Neilan

H-Index: 21

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

IMA Journal of Numerical Analysis

2024/1/29

Michael Neilan
Michael Neilan

H-Index: 21

Maxim Olshanskii
Maxim Olshanskii

H-Index: 26

Discrete elasticity exact sequences on Worsey–Farin splits

ESAIM: Mathematical Modelling and Numerical Analysis

2023/11/1

Jay Gopalakrishnan
Jay Gopalakrishnan

H-Index: 27

Michael Neilan
Michael Neilan

H-Index: 21

Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D

IMA Journal of Numerical Analysis

2023/10/13

Michael Neilan
Michael Neilan

H-Index: 21

A stable and -conforming divergence-free finite element pair for the Stokes problem using isoparametric mappings

Calcolo

2023/9

Michael Neilan
Michael Neilan

H-Index: 21

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

Journal of Numerical Mathematics

2023/6/27

Haoran Liu
Haoran Liu

H-Index: 5

Michael Neilan
Michael Neilan

H-Index: 21

A note on the shape regularity of Worsey–Farin splits

Journal of Scientific Computing

2023/5

Michael Neilan
Michael Neilan

H-Index: 21

Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions

IMA Journal of Numerical Analysis

2023/3

Michael Neilan
Michael Neilan

H-Index: 21

A CutFEM divergence–free discretization for the Stokes problem

ESAIM: Mathematical Modelling and Numerical Analysis

2023/1/1

Exact sequences on Worsey–Farin splits

Mathematics of Computation

2022/11

Michael Neilan
Michael Neilan

H-Index: 21

Numerical Methods for Fully Nonlinear and Related PDEs

Oberwolfach Reports

2022/8/24

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

Computer Methods in Applied Mechanics and Engineering

2022/2/15

Michael Neilan
Michael Neilan

H-Index: 21

The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes

arXiv preprint arXiv:2109.14780

2021/9/30

Michael Neilan
Michael Neilan

H-Index: 21

Michael Schneier
Michael Schneier

H-Index: 7

Divergence-free Scott--Vogelius Elements on Curved Domains

SIAM Journal on Numerical Analysis

2021

Michael Neilan
Michael Neilan

H-Index: 21

Connection between grad-div stabilized Stokes finite elements and divergence-free Stokes finite elements

International journal of numerical analysis and modeling

2020/10

Michael Neilan
Michael Neilan

H-Index: 21

The Stokes complex: A review of exactly divergence–free finiteelement pairsfor incompressibleflows

2020/7/29

Michael Neilan
Michael Neilan

H-Index: 21

Exact sequences on Powell–Sabin splits

Calcolo

2020/6

Exact smooth piecewise polynomial sequences on Alfeld splits

Mathematics of Computation

2020/5

Guosheng Fu
Guosheng Fu

H-Index: 15

Michael Neilan
Michael Neilan

H-Index: 21

The Monge–Ampère equation

2020/1/1

Michael Neilan
Michael Neilan

H-Index: 21

Wujun Zhang
Wujun Zhang

H-Index: 11

See List of Professors in Michael Neilan University(University of Pittsburgh)

Co-Authors

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