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Helmut Harbrecht

Helmut Harbrecht

D-Index & Metrics

Mathematics

D-Index
32
Citations
3681
World Ranking
3233
National Ranking
55

Overview

Helmut Harbrecht is affiliated with the University of Basel in Switzerland and focuses primarily on research within the field of Engineering, with particular emphasis on Computational Mechanics. Their work spans several subfields including Mechanics of Materials, Computational Theory and Mathematics, Atomic and Molecular Physics and Optics, and Mathematical Physics.

The scientist's research covers a range of topics related to numerical and computational methods, including:

  • Numerical methods in engineering
  • Electromagnetic Scattering and Analysis
  • Advanced Numerical Analysis Techniques
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in inverse problems
  • Probabilistic and Robust Engineering Design
  • Advanced Mathematical Modeling in Engineering

Harbrecht has contributed to multiple publications in various scientific venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • SIAM Journal on Control and Optimization
  • SIAM/ASA Journal on Uncertainty Quantification
  • Numerische Mathematik

Recent papers authored or co-authored by Harbrecht illustrate a focus on computational physics and numerical methods. Some of these works are:

  • "A fast direct solver for nonlocal operators in wavelet coordinates", 2020, Journal of Computational Physics
  • "Samplets: Construction and scattered data compression", 2022, Journal of Computational Physics
  • "The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs", 2024, Mathematical Models and Methods in Applied Sciences

Additional notable publications from allied collaborators include related computational techniques and algorithms in applied mathematics and engineering.

Harbrecht collaborates frequently with other researchers, including:

  • Michael Multerer
  • Jürgen Dölz
  • Marc Schmidlin
  • Christoph Schwab
  • Marc Dambrine

Best Publications

  • On the low-rank approximation by the pivoted Cholesky decomposition

    Helmut Harbrecht;Michael Peters;Reinhold Schneider

  • Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates

    Wolfgang Dahmen;Helmut Harbrecht;Reinhold Schneider

  • Sparse second moment analysis for elliptic problems in stochastic domains

    Helmut Harbrecht;Reinhold Schneider;Christoph Schwab

  • Boosting Quantum Machine Learning Models with a Multilevel Combination Technique: Pople Diagrams Revisited

    Peter Zaspel;Bing Huang;Helmut Harbrecht;O. Anatole von Lilienfeld

  • An optimal adaptive wavelet method without coarsening of the iterands

    Tsogtgerel Gantumur;Helmut Harbrecht;Rob P. Stevenson

  • Wavelet Galerkin Schemes for Boundary Integral Equations---Implementation and Quadrature

    Helmut Harbrecht;Reinhold Schneider

  • Compression Techniques for Boundary Integral Equations - Optimal Complexity Estimates

    Wolfgang Dahmen;Helmut Harbrecht;Reinhold Schneider

  • On Convergence in Elliptic Shape Optimization

    Karsten Eppler;Helmut Harbrecht;Reinhold Schneider

  • Analysis of the domain mapping method for elliptic diffusion problems on random domains

    H. Harbrecht;M. Peters;M. Siebenmorgen

  • A regularized Newton method in electrical impedance tomography using shape Hessian information

    Karsten Eppler;Helmut Harbrecht

  • Biorthogonal wavelet bases for the boundary element method

    Helmut Harbrecht;Reinhold Schneider

  • Efficient approximation of random fields for numerical applications

    Helmut Harbrecht;Michael Peters;Markus Siebenmorgen

  • Multilevel frames for sparse tensor product spaces

    Helmut Harbrecht;Reinhold Schneider;Christoph Schwab

  • Fast Methods for Three-dimensional Inverse Obstacle Scattering Problems

    H. Harbrecht;T. Hohage

  • BPX-preconditioning for isogeometric analysis

    Annalisa Buffa;Helmut Harbrecht;Angela Kunoth;Giancarlo Sangalli

  • Trends in PDE Constrained Optimization

    Günter Leugering;Peter Benner;Sebastian Engell;Andreas Griewank

  • A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems

    Jürgen Dölz;Helmut Harbrecht;Stefan Kurz;Sebastian Schöps

  • Adaptive methods for boundary integral equations: Complexity and convergence estimates

    Wolfgang Dahmen;Helmut Harbrecht;Reinhold Schneider

  • On the Numerical Solution of a Shape Optimization Problem for the Heat Equation

    Helmut Harbrecht;Johannes Tausch

  • On the construction of sparse tensor product spaces

    Michael Griebel;Helmut Harbrecht

  • Approximation of bi-variate functions: singular value decomposition versus sparse grids

    Michael Griebel;Helmut Harbrecht

  • Boosting quantum machine learning models with multi-level combination technique: Pople diagrams revisited

    Peter Zaspel;Bing Huang;Helmut Harbrecht;O. Anatole von Lilienfeld

Frequent Co-Authors

Reinhold Schneider
Reinhold Schneider Technical University of Berlin
Michael Griebel
Michael Griebel University of Bonn
Felix Wolf
Felix Wolf Technical University of Darmstadt
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Wolfgang Dahmen
Wolfgang Dahmen University of South Carolina
Sebastian Engell
Sebastian Engell TU Dortmund University
Andreas Griewank
Andreas Griewank Humboldt-Universität zu Berlin
Rolf Rannacher
Rolf Rannacher Heidelberg University
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg

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