Michael Holst

Michael Holst

University of California, San Diego

H-index: 41

North America-United States

About Michael Holst

Michael Holst, With an exceptional h-index of 41 and a recent h-index of 23 (since 2020), a distinguished researcher at University of California, San Diego, specializes in the field of Numerical Analysis, Applied Analysis, PDE, Mathematical Physics.

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

Geometric transformation of finite element methods: Theory and applications

A Scaling Approach to Elliptic Theory for Geometrically-Natural Differential Operators with Sobolev-Type Coefficients

A Study on Discontinuous Petrov-Galerkin Finite Element Methods in Semi-linear Problems and Adaptivity

Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule

A note on optimal tokamak control for fusion power simulation

On the space of locally Sobolev-Slobodeckij functions

On certain geometric operators between Sobolev spaces of sections of tensor bundles on compact manifolds equipped with rough metrics

Sobolev-Slobodeckij spaces on compact manifolds, revisited

Michael Holst Information

University

Position

Professor of Mathematics and Physics

Citations(all)

17553

Citations(since 2020)

5262

Cited By

14486

hIndex(all)

41

hIndex(since 2020)

23

i10Index(all)

87

i10Index(since 2020)

42

Email

University Profile Page

University of California, San Diego

Google Scholar

View Google Scholar Profile

Michael Holst Skills & Research Interests

Numerical Analysis

Applied Analysis

PDE

Mathematical Physics

Top articles of Michael Holst

Title

Journal

Author(s)

Publication Date

Geometric transformation of finite element methods: Theory and applications

Applied Numerical Mathematics

Michael Holst

Martin Licht

2023/10/1

A Scaling Approach to Elliptic Theory for Geometrically-Natural Differential Operators with Sobolev-Type Coefficients

arXiv preprint arXiv:2306.15842

Michael Holst

David Maxwell

Gantumur Tsogtgerel

2023/6/28

A Study on Discontinuous Petrov-Galerkin Finite Element Methods in Semi-linear Problems and Adaptivity

Michael Holst

2022

Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule

Journal of Nonlinear Science

Michael Holst

Houdong Hu

Jianfeng Lu

Jeremy L Marzuola

Duo Song

...

2022/12

A note on optimal tokamak control for fusion power simulation

arXiv preprint arXiv:2211.08984

MICHAEL Holst

VYACHESLAV Kungurtsev

SATWIK Mukherjee

2022/11/10

On the space of locally Sobolev-Slobodeckij functions

Journal of Function Spaces

A Behzadan

M Holst

2022/10/25

On certain geometric operators between Sobolev spaces of sections of tensor bundles on compact manifolds equipped with rough metrics

Contemporary Mathematics

Ali Behzadan

Michael Holst

2022/4/19

Sobolev-Slobodeckij spaces on compact manifolds, revisited

Mathematics

Ali Behzadan

Michael Holst

2022/2/7

Finite Element Methods for Linear Maxwell's Equations in Bianisotropic Media Permitting Polarization Fields and Magnetic Currents

arXiv preprint arXiv:2212.11930

Tharindu Fernando

Martin Licht

Michael Holst

2022/12/22

Multiplication in Sobolev Spaces, Revisited

Arkiv for Matematik

A Behzadan

M Holst

2021/10

Local finite element approximation of Sobolev differential forms

ESAIM: M2AN

Evan Gawlik

Michael Holst

Martin Licht

2021

Local sensitivity analysis of the “membrane shape equation” derived from the Helfrich energy

Mathematics and Mechanics of Solids

Padmini Rangamani

Ali Behzadan

Michael Holst

2021/3

A Note On Determining Projections for Non-Homogeneous Incompressible Fluids

arXiv preprint arXiv:2102.04654

Benjamin Faktor

Michael Holst

2021/2/9

Stability analysis of a bulk–surface reaction model for membrane protein clustering

Bulletin of mathematical biology

Lucas M Stolerman

Michael Getz

Stefan G Llewellyn Smith

Michael Holst

Padmini Rangamani

2020/2

3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries

PLoS computational biology

Christopher T Lee

Justin G Laughlin

Nils Angliviel de La Beaumelle

Rommie E Amaro

J Andrew McCammon

...

2020/4/6

Applications and challenges of machine learning to enable realistic cellular simulations

Ritvik Vasan

Meagan P Rowan

Christopher T Lee

Gregory R Johnson

Padmini Rangamani

...

2020/1/21

An open-source mesh generation platform for biophysical modeling using realistic cellular geometries

Biophysical journal

Christopher T Lee

Justin G Laughlin

John B Moody

Rommie E Amaro

J Andrew McCammon

...

2020/3/10

Correlating Dendritic Spine Geometry and Calcium Transients to Learning and Information Processing

Biophysical Journal

Christopher T Lee

Justin G Laughlin

Miriam Bell

Michael Holst

Padmini Rangamani

2020/2/7

Modeling Actin Networks in Realistic Geometries of Dendritic Spines

Biophysical Journal

Andrew Nguyen

Justin L Oshiro

Christopher T Lee

Michael Holst

Padmini Rangamani

2020/2/7

Breakdown in the Continuum: Exploring the Limitations of Continuum Models of Calcium Ion Signaling in Dendritic Spines

Biophysical Journal

Meagan P Rowan

Mason V Holst

Miriam Bell

Christopher T Lee

Michael J Holst

...

2020/2/7

See List of Professors in Michael Holst University(University of California, San Diego)

Co-Authors

H-index: 144
Prof. J. Andrew McCammon

Prof. J. Andrew McCammon

University of California, San Diego

H-index: 66
Jinchao Xu

Jinchao Xu

Penn State University

H-index: 52
Yongjie Jessica Zhang

Yongjie Jessica Zhang

Carnegie Mellon University

H-index: 48
David Sept

David Sept

University of Michigan-Dearborn

H-index: 37
Zeyun Yu

Zeyun Yu

University of Wisconsin-Milwaukee

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