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Rüdiger Verfürth

Rüdiger Verfürth

D-Index & Metrics

Mathematics

D-Index
30
Citations
7793
World Ranking
3423
National Ranking
210

Overview

Rüdiger Verfürth is affiliated with Ruhr University Bochum in Germany. Their research primarily focuses on areas within engineering and computer science, particularly emphasizing computational mechanics and mathematical methods.

Their work spans several subfields of study, including:

  • Computational Mechanics
  • Computational Theory and Mathematics
  • Mechanics of Materials
  • Statistical and Nonlinear Physics
  • Numerical Analysis

Key research topics addressed in their publications cover:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Model Reduction and Neural Networks
  • Matrix Theory and Algorithms
  • Advanced Optimization Algorithms Research
  • Optimization and Variational Analysis
  • Numerical methods for differential equations

Rüdiger Verfürth has contributed to multiple papers, notable among which are:

  • "Quasi-Optimal and Pressure Robust Discretizations of the Stokes Equations by Moment- and Divergence-Preserving Operators" (2020), published in Computational Methods in Applied Mathematics
  • "Quasi-monotonicity and Robust Localization with Continuous Piecewise Polynomials" (2021), published on arXiv (Cornell University)
  • "Robust a posteriori error estimators with error-dominated oscillation for the reaction-diffusion equation" (2021), published on arXiv (Cornell University)
  • "Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators" (2020), published on arXiv (Cornell University)

Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Computational Methods in Applied Mathematics

Collaborations have involved several co-authors with multiple joint publications, including:

  • Christian Kreuzer
  • Pietro Zanotti
  • Francesca Tantardini

Best Publications

  • A Review of a Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques

    Rüdiger Verfürth

  • A posteriori error estimation and adaptive mesh-refinement techniques

    R. Verfürth

  • A Posteriori Error Estimation Techniques for Finite Element Methods

    Rüdiger Verfürth

  • A posteriori error estimators for the Stokes equations

    R. Verfürth

  • A posteriori error estimators for convection-diffusion equations

    Rüdiger Verfürth

  • Error estimates for a mixed finite element approximation of the Stokes equations

    R. Verfürth

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

    Carsten Carstensen;Rüdiger Verfürth

  • Adaptive finite element methods for elliptic equations with non-smooth coefficients

    Christine Bernardi;Rüdiger Verfürth

  • A Posteriori Error Estimators for the Raviart--Thomas Element

    D. Braess;R. Verfürth

  • Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition

    R. Verfürth

  • A posteriori error estimates for finite element discretizations of the heat equation

    R. Verfürth

  • Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations

    R. Verfürth

  • Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations

    Lutz Tobiska;Rüdiger Verfürth

  • A review of a posteriori error estimation techniques for elasticity problems

    R. Verfürth

  • A combined conjugate gradient - multi-grid algorithm for the numerical solution of the Stokes problem

    Rudiger Verfurth

  • Error estimates for some quasi-interpolation operators

    Rüdiger Verfürth

  • Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation

    R. Verfürth

  • A note on polynomial approximation in Sobolev spaces

    Rüdiger Verfürth

  • Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes

    Gerd Kunert;Rüdiger Verfürth

  • A posteriori error estimates for nonlinear problems. 𝐿^{𝑟}(0,𝑇;𝐿^{𝜌}(Ω))-error estimates for finite element discretizations of parabolic equations

    Unknown

  • Explicit Upper Bounds for Dual Norms of Residuals

    Andreas Veeser;Rüdiger Verfürth

  • Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations

    Unknown

  • A Posteriori Error Estimates for Non-Linear Problems

    R. Verfürth

Frequent Co-Authors

Lutz Tobiska
Lutz Tobiska Otto-von-Guericke University Magdeburg
Carsten Carstensen
Carsten Carstensen Humboldt-Universität zu Berlin
Dietrich Braess
Dietrich Braess Ruhr University Bochum

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