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

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

Discrete elasticity exact sequences on 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

Title

Journal

Author(s)

Publication Date

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

arXiv preprint arXiv:2404.14226

Rebecca Durst

Michael Neilan

2024/4/22

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

SIAM Journal on Numerical Analysis

Alan Demlow

Michael Neilan

2024/2/29

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

IMA Journal of Numerical Analysis

Michael Neilan

Maxim Olshanskii

2024/1/29

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

IMA Journal of Numerical Analysis

Daniele Boffi

Sining Gong

Johnny Guzmán

Michael Neilan

2023/10/13

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

Calcolo

Michael Neilan

M Baris Otus

2023/9

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

Journal of Numerical Mathematics

Haoran Liu

Michael Neilan

M Baris Otus

2023/6/27

A note on the shape regularity of Worsey–Farin splits

Journal of Scientific Computing

Sining Gong

Johnny Guzmán

Michael Neilan

2023/5

Discrete elasticity exact sequences on Worsey–Farin splits

ESAIM: Mathematical Modelling and Numerical Analysis

Sining Gong

Jay Gopalakrishnan

Johnny Guzmán

Michael Neilan

2023/11/1

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

IMA Journal of Numerical Analysis

Daniele Boffi

Johnny Guzmán

Michael Neilan

2023/3

A CutFEM divergence–free discretization for the Stokes problem

ESAIM: Mathematical Modelling and Numerical Analysis

Haoran Liu

Michael Neilan

Maxim Olshanskii

2023/1/1

Exact sequences on Worsey–Farin splits

Mathematics of Computation

Johnny Guzmán

Anna Lischke

Michael Neilan

2022/11

Numerical Methods for Fully Nonlinear and Related PDEs

Oberwolfach Reports

Sören Bartels

Susanne C Brenner

Xiaobing Feng

Michael J Neilan

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

Maurice Fabien

Johnny Guzmán

Michael Neilan

Ahmed Zytoon

2022/2/15

The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes

arXiv preprint arXiv:2109.14780

Kiera Kean

Michael Neilan

Michael Schneier

2021/9/30

Divergence-free Scott--Vogelius Elements on Curved Domains

SIAM Journal on Numerical Analysis

Michael Neilan

Baris Otus

2021

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

International journal of numerical analysis and modeling

Michael Neilan

Ahmed Zytoon

2020/10

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

Michael Neilan

2020/7/29

Exact sequences on Powell–Sabin splits

Calcolo

J Guzmán

A Lischke

M Neilan

2020/6

Exact smooth piecewise polynomial sequences on Alfeld splits

Mathematics of Computation

Guosheng Fu

Johnny Guzmán

Michael Neilan

2020/5

The Monge–Ampère equation

Michael Neilan

Abner J Salgado

Wujun Zhang

2020/1/1

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

Co-Authors

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