World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
4825
World Ranking
2386
National Ranking
147

Engineering and Technology

D-Index
39
Citations
4873
World Ranking
7820
National Ranking
266

Overview

Arnold Reusken is affiliated with RWTH Aachen University in Germany and specializes in the field of Engineering. Their research primarily focuses on computational mechanics, mechanics of materials, and computational theory and mathematics, with additional involvement in electrical and electronic engineering and numerical analysis.

The main topics of Arnold Reusken's work include:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Lattice Boltzmann Simulation Studies
  • Electromagnetic Simulation and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics
  • Fluid Dynamics and Turbulent Flows

Reusken has several recent publications, reflecting ongoing activity across computational and applied mathematics. Notable papers include:

  • "Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations," 2022, published in SIAM Journal on Scientific Computing
  • "Inf-sup stability of the trace ₂-₁ Taylor-Hood elements for surface PDEs," 2020, published in Mathematics of Computation
  • "Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation," 2020, published in Journal of Numerical Mathematics
  • "Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations," 2022, published in Mathematical Models and Methods in Applied Sciences
  • "On derivations of evolving surface Navier-Stokes equations," 2022, published in Interfaces and Free Boundaries Mathematical Analysis Computation and Applications

Frequent publication venues where Reusken's work appears include:

  • arXiv (Cornell University)
  • Mathematics of Computation
  • SIAM Journal on Scientific Computing
  • Journal of Numerical Mathematics
  • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications

Reusken collaborates regularly with a set of co-authors, among whom the most frequent are:

  • Maxim A. Olshanskii
  • Thomas Jankuhn
  • Paul Schwering
  • Alexander Zhiliakov
  • Sven Groß

This profile highlights a focus on numerical and computational methods applied to fluid dynamics and related engineering disciplines. The publications indicate contributions to both theoretical aspects, such as finite element discretization and stability analyses, and applied modeling and simulation on evolving surfaces.

Best Publications

  • Numerical Methods for Two-phase Incompressible Flows

    Sven Gross;Arnold Reusken

  • An extended pressure finite element space for two-phase incompressible flows with surface tension

    Sven Groí;Arnold Reusken

  • Grad-div stablilization for Stokes equations

    Maxim A. Olshanskii;Arnold Reusken

  • A Finite Element Method for Elliptic Equations on Surfaces

    Maxim A. Olshanskii;Arnold Reusken;Jörg Grande

  • A finite element based level set method for two-phase incompressible flows

    Sven Groß;Volker Reichelt;Arnold Reusken

  • Analysis of an extended pressure finite element space for two-phase incompressible flows

    Arnold Reusken

  • Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows

    Sven Gross;Arnold Reusken

  • Incompressible fluid problems on embedded surfaces: Modeling and variational formulations

    Thomas Jankuhn;Maxim A. Olshanskii;Arnold Reusken

  • Analysis of a damped nonlinear multilevel method

    W. Hackbusch;A. Reusken

  • Analysis of a Stokes interface problem

    Maxim A. Olshanskii;Arnold Reusken

  • Analysis of trace finite element methods for surface partial differential equations

    Arnold Reusken

  • A stabilized finite element method for advection-diffusion equations on surfaces

    Maxim A. Olshanskii;Arnold Reusken;Xianmin Xu

  • Trace Finite Element Methods for PDEs on Surfaces

    Maxim A. Olshanskii;Arnold Reusken

  • AN EULERIAN SPACE-TIME FINITE ELEMENT METHOD FOR DIFFUSION PROBLEMS ON EVOLVING SURFACES ∗

    Maxim A. Olshanskii;Arnold Reusken;Xianmin Xu

  • A finite element method for surface PDEs: matrix properties

    Maxim A. Olshanskii;Arnold Reusken

  • Validated simulation of droplet sedimentation with finite-element and level-set methods.

    Evangelos Bertakis;Sven Groß;Jörg Grande;Oliver Fortmeier

  • ERROR ANALYSIS OF A SPACE-TIME FINITE ELEMENT METHOD FOR SOLVING PDES ON EVOLVING SURFACES ∗

    Maxim A. Olshanskii;Arnold Reusken

  • Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces

    Jörg Grande;Christoph Lehrenfeld;Arnold Reusken

  • Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses

    Oliver Bröker;Marcus J. Grote;Carsten Mayer;Arnold Reusken

  • Fourier analysis of a robust multigrid method for convection-diffusion equations

    Arnold Reusken

  • Fast Iterative Solvers for Discrete Stokes Equations

    Jörg Peters;Volker Reichelt;Arnold Reusken

Frequent Co-Authors

Maxim A. Olshanskii
Maxim A. Olshanskii University of Houston
Wolfgang Marquardt
Wolfgang Marquardt RWTH Aachen University
Uwe Hampel
Uwe Hampel Helmholtz-Zentrum Dresden-Rossendorf
Wolfgang Hackbusch
Wolfgang Hackbusch Max Planck Institute for Mathematics in the Sciences
Jörg Peters
Jörg Peters University of Florida
Bernhard Blümich
Bernhard Blümich RWTH Aachen University

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