World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
59
Citations
11416
World Ranking
602
National Ranking
28

Engineering and Technology

D-Index
59
Citations
11388
World Ranking
2374
National Ranking
72

Overview

Carsten Carstensen is affiliated with Humboldt-Universität zu Berlin in Germany. Their research primarily spans the fields of Engineering and Computer Science, with a focused expertise in Computational Mechanics and Computational Theory and Mathematics.

Their work extensively addresses topics such as Advanced Numerical Methods in Computational Mathematics, Advanced Mathematical Modeling in Engineering, and Numerical Methods in Engineering. Additional key areas include Computational Fluid Dynamics and Aerodynamics, Numerical Methods for Differential Equations, Electromagnetic Simulation and Numerical Methods, and Differential Equations and Numerical Methods.

Carstensen has published prolifically, frequently collaborating with other researchers. Regular co-authors include Neela Nataraj, Benedikt Gräßle, Amiya K. Pani, Ngoc-Tien Tran, and Sophie Puttkammer.

Their recent papers reflect ongoing contributions to numerical analysis and finite element methods. Selected recent publications include:

  • Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian (2023, SIAM Journal on Numerical Analysis)
  • Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method (2021, Numerische Mathematik)
  • Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates (2021, SIAM Journal on Numerical Analysis)
  • Lowest-order equivalent nonstandard finite element methods for biharmonic plates (2021, ESAIM. Mathematical Modelling and Numerical Analysis)
  • Critical functions and inf-sup stability of Crouzeix-Raviart elements (2022, Computers & Mathematics with Applications)

The venues where Carstensen commonly publishes include arXiv (Cornell University), Numerische Mathematik, SIAM Journal on Numerical Analysis, Mathematics of Computation, and Computer Methods in Applied Mechanics and Engineering.

Best Publications

  • Non-convex potentials and microstructures in finite-strain plasticity

    Carsten Carstensen;Klaus Hackl;Alexander Mielke

  • Remarks around 50 lines of Matlab: short finite element implementation

    Jochen Alberty;Carsten Carstensen;Stefan A. Funken

  • A posteriori error estimate for the mixed finite element method

    Carsten Carstensen

  • Axioms of adaptivity

    C. Carstensen;M. Feischl;M. Page;D. Praetorius

  • Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods

    Carsten Carstensen;Rüdiger Verfürth

  • Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids part I: Low order conforming, nonconforming, and mixed FEM

    Carsten Carstensen;Sören Bartels

  • QUASI-INTERPOLATION AND A POSTERIORI ERROR ANALYSIS IN FINITE ELEMENT METHODS

    Carsten Carstensen

  • Breaking spaces and forms for the DPG method and applications including Maxwell equations

    C. Carstensen;L. Demkowicz;J. Gopalakrishnan

  • Matlab implementation of the finite element method in elasticity

    J. Alberty;C. Carstensen;S. A. Funken;R. Klose

  • Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control

    C. Bahriawati;C. Carstensen

  • Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM

    Sören Bartels;Carsten Carstensen

  • A posteriori error estimates for mixed FEM in elasticity

    Carsten Carstensen;Georg Dolzmann

  • Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods

    C. Carstensen;S. A. Funken

  • An a posteriori error estimate for a first-kind integral equation

    Carsten Carstensen

  • Fully Reliable Localized Error Control in the FEM

    Carsten Carstensen;Stefan A. Funken

  • A unifying theory of a posteriori error control for nonconforming finite element methods

    C. Carstensen;Jun Hu

  • Convergence analysis of an adaptive nonconforming finite element method

    Carsten Carstensen;Ronald H. W. Hoppe

  • Error reduction and convergence for an adaptive mixed finite element method

    Carsten Carstensen;Ronald H.W. Hoppe

  • Numerical solution of the scalar double-well problem allowing microstructure

    Carsten Carstensen;Peter Plecháč

  • Effective relaxation for microstructure simulations: algorithms and applications

    S. Bartels;C. Carstensen;K. Hackl;U. Hoppe

  • A posteriori error estimates for boundary element methods

    Carsten Carstensen;Ernst P. Stephan

Frequent Co-Authors

Ernst P. Stephan
Ernst P. Stephan University of Hannover
Peter Wriggers
Peter Wriggers University of Hannover
John M. Ball
John M. Ball University of Oxford
Erwin Stein
Erwin Stein University of Hannover
Susanne C. Brenner
Susanne C. Brenner Louisiana State University
Miodrag S. Petković
Miodrag S. Petković University of Nis
Dietrich Braess
Dietrich Braess Ruhr University Bochum
Berend Denkena
Berend Denkena University of Hannover
Leszek Demkowicz
Leszek Demkowicz The University of Texas at Austin

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