World's Best Scientists 2026 revealed!
Ralf Hiptmair

Ralf Hiptmair

D-Index & Metrics

Mathematics

D-Index
44
Citations
8413
World Ranking
1580
National Ranking
30

Engineering and Technology

D-Index
44
Citations
8401
World Ranking
5758
National Ranking
89

Overview

Ralf Hiptmair is affiliated with ETH Zurich in Switzerland and has a prominent research profile in engineering, with a focus on numerical methods and computational mechanics. Their work spans multiple subfields including mechanics of materials, computational mechanics, mathematical physics, electrical and electronic engineering, as well as atomic and molecular physics and optics.

The scientist's research covers a broad range of topics, with notable emphasis on:

  • Numerical methods in engineering
  • Electromagnetic simulation and numerical methods
  • Advanced numerical methods in computational mathematics
  • Numerical methods in inverse problems
  • Electromagnetic scattering and analysis
  • Advanced mathematical modeling in engineering
  • Microwave imaging and scattering analysis

Ralf Hiptmair has contributed to several recent publications, such as:

  • "Enhancing the Quantum Linear Systems Algorithm Using Richardson Extrapolation," 2022, published in ACM Transactions on Quantum Computing
  • "Electromagnetic port boundary conditions: Topological and variational perspective," 2020, published in International Journal of Numerical Modelling Electronic Networks Devices and Fields
  • "Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens," 2020, published in SIAM Journal on Numerical Analysis
  • "Quotient-space boundary element methods for scattering at complex screens," 2021, published in BIT Numerical Mathematics
  • "Traces for Hilbert complexes," 2023, published in Journal of Functional Analysis

Frequent coauthors collaborating with Ralf Hiptmair include:

  • Erick Schulz
  • Piyush Panchal
  • Xavier Claeys
  • Stefan Sauter
  • Euan A. Spence

Their research outputs have been published repeatedly in venues such as:

  • arXiv (Cornell University)
  • Computational Methods in Applied Mathematics
  • SIAM Journal on Mathematical Analysis
  • Journal of Scientific Computing
  • International Journal of Numerical Modelling Electronic Networks Devices and Fields

Best Publications

  • Finite elements in computational electromagnetism

    R. Hiptmair

  • Multigrid Method for Maxwell's Equations

    R. Hiptmair

  • Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces

    Ralf Hiptmair;Jinchao Xu

  • Boundary Element Methods

    Stéphanie Chaillat-Loseille;Ralf Hiptmair;Olaf Steinbach

  • Residual based a posteriori error estimators for eddy current computation

    Rudi Beck;Ralf Hiptmair;Ronald H.W. Hoppe;Barbara Wohlmuth

  • Canonical construction of finite elements

    R. Hiptmair

  • Galerkin Boundary Element Methods for Electromagnetic Scattering

    Annalisa Buffa;Ralf Hiptmair

  • PLANE WAVE DISCONTINUOUS GALERKIN METHODS: ANALYSIS OF THE h-VERSION ∗, ∗∗

    Claude J. Gittelson;Ralf Hiptmair;Ilaria Perugia

  • Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the $p$-Version

    R. Hiptmair;A. Moiola;I. Perugia

  • Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains

    A. Buffa;R. Hiptmair;T. Von Petersdorff;C. Schwab

  • Discrete Hodge operators

    Ralf Hiptmair

  • Symmetric Coupling for Eddy Current Problems

    R. Hiptmair

  • Operator Preconditioning

    R. Hiptmair

  • Plane wave approximation of homogeneous Helmholtz solutions

    Andrea Moiola;R. Hiptmair;I. Perugia

  • Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell's Equations

    Rudolf Beck;Peter Deuflhard;Ralf Hiptmair;Ronald H. W. Hoppe

  • A FULLY DIVERGENCE-FREE FINITE ELEMENT METHOD FOR MAGNETOHYDRODYNAMIC EQUATIONS

    Ralf Hiptmair;Lingxiao Li;Shipeng Mao;Weiying Zheng

  • Comparison of approximate shape gradients

    R. Hiptmair;A. Paganini;S. Sargheini

  • Multigrid method for H (div) in three dimensions

    Ralf Hiptmair

  • Domain Decomposition Preconditioning for Surface Integral Equations in Solving Challenging Electromagnetic Scattering Problems

    Zhen Peng;Ralf Hiptmair;Yang Shao;Brian MacKie-Mason

  • Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations

    Ralf Hiptmair;Andrea Moiola;Andrea Moiola;Ilaria Perugia

  • Numerical Methods for Partial Differential Equations

    R. Hiptmair;L. Scarabosio;C. Urzua Torres

Frequent Co-Authors

Ilaria Perugia
Ilaria Perugia University of Vienna
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne
Barbara Wohlmuth
Barbara Wohlmuth Technical University of Munich
Jinchao Xu
Jinchao Xu Pennsylvania State University
Daniele Boffi
Daniele Boffi King Abdullah University of Science and Technology
Monique Dauge
Monique Dauge University of Rennes
Leszek Demkowicz
Leszek Demkowicz The University of Texas at Austin
Martin Costabel
Martin Costabel University of Rennes
Patrick Joly
Patrick Joly École Nationale Supérieure de Techniques Avancées

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

Studying Mathematics in the USA can open doors to various related fields and online degree options that complement your analytical skills. For those looking to expand into leadership roles with a business edge, exploring 12 month mba programs offers a fast track to gaining essential management expertise.

If you already have some graduate credits or prior coursework, programs highlighting online mba transfer credits can save time and tuition while allowing you to build on your academic progress efficiently.

For those interested in applying mathematical skills to the growing tech and business sectors, the best masters in data analytics programs are increasingly popular, providing the tools needed to interpret complex data and support decision-making across industries.

Finally, for students balancing multiple commitments or returning to school, researching the easiest mba program to get into can present accessible pathways without compromising educational value.

Best Scientists Citing Ralf Hiptmair

Trending Scientists

Recently Published Articles