Carsten Carstensen

Carsten Carstensen

Humboldt-Universität zu Berlin

H-index: 57

Europe-Germany

About Carsten Carstensen

Carsten Carstensen, With an exceptional h-index of 57 and a recent h-index of 26 (since 2020), a distinguished researcher at Humboldt-Universität zu Berlin, specializes in the field of Applied and Numerical Analysis.

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

A fractional-order trace-dev-div inequality

Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains

Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates

A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity

Locking-free hybrid high-order method for linear elasticity

Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds

Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation

Stabilization-free HHO a posteriori error control

Carsten Carstensen Information

University

Position

___

Citations(all)

11775

Citations(since 2020)

2955

Cited By

10498

hIndex(all)

57

hIndex(since 2020)

26

i10Index(all)

214

i10Index(since 2020)

98

Email

University Profile Page

Humboldt-Universität zu Berlin

Google Scholar

View Google Scholar Profile

Carsten Carstensen Skills & Research Interests

Applied and Numerical Analysis

Top articles of Carsten Carstensen

Title

Journal

Author(s)

Publication Date

A fractional-order trace-dev-div inequality

arXiv preprint arXiv:2403.01291

Carsten Carstensen

Norbert Heuer

2024/3/2

Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains

Computer Methods in Applied Mechanics and Engineering

Carsten Carstensen

Benedikt Gräßle

2024/5/15

Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates

Numerische Mathematik

Carsten Carstensen

Sophie Puttkammer

2024/2

A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity

SIAM Journal on Numerical Analysis

Carsten Carstensen

Benedikt Gräßle

Neela Nataraj

2024/4/30

Locking-free hybrid high-order method for linear elasticity

arXiv preprint arXiv:2404.02768

Carsten Carstensen

Ngoc Tien Tran

2024/4/3

Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds

arXiv preprint arXiv:2404.01228

Carsten Carstensen

Benedikt Gräßle

Ngoc Tien Tran

2024/4/1

Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation

Journal of Numerical Mathematics

Carsten Carstensen

Benedikt Gräßle

Neela Nataraj

2024/3/25

Stabilization-free HHO a posteriori error control

Numerische Mathematik

Fleurianne Bertrand

Carsten Carstensen

Benedikt Gräßle

Ngoc Tien Tran

2023/8

Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian

SIAM Journal on Numerical Analysis

Carsten Carstensen

Sophie Puttkammer

2023/4/30

Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes

SIAM Journal on Numerical Analysis

Carsten Carstensen

Rekha Khot

Amiya K. Pani

2022/5

Local parameter selection in the C0 interior penalty method for the biharmonic equation

Journal of Numerical Mathematics

Philipp Bringmann

Carsten Carstensen

Julian Streitberger

2023/9/11

Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems

Numerische Mathematik

Carsten Carstensen

Neela Nataraj

Gopikrishnan C Remesan

Devika Shylaja

2023/8

Lowest-order equivalent nonstandard finite element methods for biharmonic plates

ESAIM: Mathematical Modelling and Numerical Analysis

Carsten Carstensen

Neela Nataraj

2022/1/1

Convergent adaptive hybrid higher-order schemes for convex minimization

Numerische Mathematik

Carsten Carstensen

Ngoc Tien Tran

2022/6

Adaptive Least-Squares, Discontinuous Petrov-Galerkin, and Hybrid High-Order Methods

Philipp Bringmann

Carsten Carstensen

Ngoc Tien Tran

2022/4/15

Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs

Numerische Mathematik

Carsten Carstensen

Neela Nataraj

Amiya K Pani

2022/4

H1 Regularity of the Minimisers for the Inviscid Total Variation and Bingham Fluid Problems for H1 Data

Available at SSRN 4334813

François Bouchut

Carsten Carstensen

Alexandre Ern

2022/10/10

Nonstandard Finite Element Methods

Oberwolfach Reports

Daniele Boffi

Carsten Carstensen

Alexandre Ern

Jun Hu

2022/3/14

Crouzeix-Raviart triangular elements are inf-sup stable

Mathematics of Computation

Carsten Carstensen

Stefan Sauter

2022/9

Critical functions and inf-sup stability of Crouzeix-Raviart elements

Computers & Mathematics with Applications

Carsten Carstensen

Stefan Sauter

2022/2/15

See List of Professors in Carsten Carstensen University(Humboldt-Universität zu Berlin)

Co-Authors

H-index: 83
Peter Wriggers

Peter Wriggers

Leibniz Universität Hannover

H-index: 74
paul steinmann

paul steinmann

Friedrich-Alexander-Universität Erlangen-Nürnberg

H-index: 52
John Ball

John Ball

Heriot-Watt University

H-index: 46
Jörg Schröder

Jörg Schröder

Universität Duisburg-Essen

H-index: 45
Susanne C Brenner

Susanne C Brenner

Louisiana State University

H-index: 40
Jay Gopalakrishnan

Jay Gopalakrishnan

Portland State University

academic-engine