World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
35
Citations
4231
World Ranking
2813
National Ranking
172

Overview

Peter Knabner is affiliated with the University of Erlangen-Nuremberg in Germany and conducts research primarily in the fields of Engineering, Computer Science, and Mathematics. Their work spans significant subfields such as Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis, Environmental Engineering, and Mechanics of Materials.

The scientist's research topics focus on advanced numerical methods and mathematical modeling, with notable emphasis on:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Mathematical Modeling in Engineering
  • Lattice Boltzmann Simulation Studies
  • Differential Equations and Numerical Methods
  • Groundwater flow and contamination studies
  • Computational Fluid Dynamics and Aerodynamics
  • Numerical methods in engineering

Peter Knabner has contributed to several recent papers, including:

  • "Efficiency and Accuracy of Micro-Macro Models for Mineral Dissolution" (2020) published in Water Resources Research
  • "Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach" (2021) published in Multiscale Modeling and Simulation
  • "Comparison study of phase-field and level-set method for three-phase systems including two minerals" (2022) published in Computational Geosciences
  • "Numerical benchmark study for flow in highly heterogeneous aquifers" (2020) published in Advances in Water Resources
  • "Efficiency of Micro-Macro Models for Reactive Two-Mineral Systems" (2022) published in Multiscale Modeling and Simulation

Their frequent coauthors include Lutz Angermann, Stephan Gärttner, Nadja Ray, Andreas Rupp, and Serge Kräutle.

Publication venues recurring in their work are Multiscale Modeling and Simulation, Computational Geosciences, arXiv (Cornell University), Water Resources Research, and Advances in Water Resources.

Among published books, Peter Knabner authored a title released by Springer Nature: Numerical Methods for Elliptic and Parabolic Partial Differential Equations (2021), which has been cited in relevant literature.

Best Publications

  • Numerical Methods for Elliptic and Parabolic Partial Differential Equations

    Peter Knabner;Lutz Angerman

  • Mixed finite elements for the Richards' equation: linearization procedure

    I. S. Pop;F. Radu;P. Knabner

  • Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation

    Florin Radu;Iuliu Sorin Pop;Peter Knabner

  • Beyond Kozeny–Carman: Predicting the Permeability in Porous Media

    Raphael Schulz;Nadja Ray;Simon Zech;Andreas Rupp

  • Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorption : travelling waves

    van Cj Hans Duijn;P Knabner

  • Error estimates for a mixed finite element discretization of some degenerate parabolic equations

    Florin A. Radu;Iuliu Sorin Pop;Peter Knabner

  • An analysis of crystal dissolution fronts in flows through porous media part 2: incompatible boundary conditions

    van Cj Hans Duijn;P Knabner;RJ Schotting

  • Travelling waves in the transport of reactive solutes through porous media: Adsorption and binary ion exchange — Part 1

    C. J. Van Duijn;P. Knabner

  • Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods

    M. Bause;P. Knabner

  • Comparison of numerical methods for simulating strongly nonlinear and heterogeneous reactive transport problems—the MoMaS benchmark case

    Jérôme Carrayrou;Joachim Hoffmann;Peter Knabner;Serge Kräutle

  • The modeling of reactive solute transport with sorption to mobile and immobile sorbents: 1. Experimental evidence and model development

    Peter Knabner;Kai Uwe Totsche;Ingrid Kögel-Knabner

  • A new numerical reduction scheme for fully coupled multicomponent transport‐reaction problems in porous media

    S. Kräutle;P. Knabner

  • Inverse Estimation of the Unsaturated Soil Hydraulic Properties from Column Outflow Experiments Using Free-Form Parameterizations

    S. Bitterlich;W. Durner;S. C. Iden;P. Knabner

  • A reduction scheme for coupled multicomponent transport‐reaction problems in porous media: Generalization to problems with heterogeneous equilibrium reactions

    S. Kräutle;P. Knabner

  • Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes

    John W. Barrett;Peter Knabner

  • Rigorous homogenization of a Stokes–Nernst–Planck–Poisson system

    A Adrian Muntean;P Knabner

  • Modeling of drug release from collagen matrices.

    Florin A. Radu;Markus Bause;Peter Knabner;Geoffrey W. Lee

  • Multiscale Approaches in Reactive Transport Modeling

    Sergi Molins;Peter Knabner

  • Reactive transport benchmark of MoMaS

    Jérôme Carrayrou;Michel Kern;Peter Knabner

  • Uniform Error Analysis for Lagrange--Galerkin Approximations of Convection-Dominated Problems

    Markus Bause;Peter Knabner

  • Multiscale Modeling of Colloid and Fluid Dynamics in Porous Media Including an Evolving Microstructure

    Nadja Ray;Tycho van Noorden;Florian Frank;Peter Knabner

  • Numerik partieller Differentialgleichungen

    Peter Knabner;Lutz Angermann

Frequent Co-Authors

Sabine Attinger
Sabine Attinger Helmholtz Centre for Environmental Research
Ingrid Kögel-Knabner
Ingrid Kögel-Knabner Technical University of Munich
Kai Uwe Totsche
Kai Uwe Totsche Friedrich Schiller University Jena
Harald Garcke
Harald Garcke University of Regensburg
Harry Vereecken
Harry Vereecken Forschungszentrum Jülich
John W. Barrett
John W. Barrett University of Nottingham
Gedeon Dagan
Gedeon Dagan Tel Aviv University
Wolfgang Durner
Wolfgang Durner Technische Universität Braunschweig
Kerry T.B. MacQuarrie
Kerry T.B. MacQuarrie University of New Brunswick
Jan Vanderborght
Jan Vanderborght Forschungszentrum Jülich

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For those studying Mathematics in the USA, various online degree options can complement or expand your career prospects. If you’re interested in business leadership, exploring the fastest mba online programs can provide you with quick and flexible management education that pairs well with strong analytical skills developed through math studies.

For individuals focused on finance, pursuing a masters in finance online programs often offers a cost-effective way to gain expertise in financial modeling, investments, and risk management. These skills are highly valued in industries relying on quantitative methods.

If entrepreneurship and brand strategy appeal more to you, consider marketing masters degrees that are affordable and deliver strong salary potential. Mathematics majors bring a unique advantage by applying data analytics to marketing strategies.

Additionally, for those interested in leadership within academic or corporate research, the most affordable online dba programs offer an excellent path to gain business administration expertise with a research focus, often blending quantitative skills with organizational leadership.

Best Scientists Citing Peter Knabner

Trending Scientists