Helmut Harbrecht

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 54

Top Topics

Top Venues

Numerische Mathematik

J. Comput. Phys.

SIAM J. Control. Optim.

Publications

Luzia N. Felber, Helmut Harbrecht, Marc Schmidlin
Identification of Sparsely Representable Diffusion Parameters in Elliptic Problems. SIAM J. Imaging Sci. 17 (1) (2024)
Helmut Harbrecht, Viacheslav Karnaev, Marc Schmidlin
Quantifying Domain Uncertainty in Linear Elasticity. SIAM/ASA J. Uncertain. Quantification 12 (2) (2024)
Helmut Harbrecht, Michael D. Multerer, Olaf Schenk, Christoph Schwab
Multiresolution kernel matrix algebra. Numerische Mathematik 156 (3) (2024)
Davide Baroli, Helmut Harbrecht, Michael D. Multerer
Samplet Basis Pursuit: Multiresolution Scattered Data Approximation With Sparsity Constraints. IEEE Trans. Signal Process. 72 (2024)
Helmut Harbrecht, Christoph Schwab, Marco Zank
Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation. CoRR (2024)
Helmut Harbrecht, Michael D. Multerer, Jacopo Quizi
The dimension weighted fast multipole method for scattered data approximation. CoRR (2024)
Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
Uncertainty quantification for random domains using periodic random variables. Numerische Mathematik 156 (1) (2024)
Helmut Harbrecht, Remo von Rickenbach
Compression of boundary integral operators discretized by anisotropic wavelet bases. Numerische Mathematik 156 (3) (2024)
Seif Ben Bader, Helmut Harbrecht, Rolf Krause, Michael D. Multerer, Alessio Quaglino, Marc Schmidlin
Space-time Multilevel Quadrature Methods and their Application for Cardiac Electrophysiology. SIAM/ASA J. Uncertain. Quantification 11 (4) (2023)
Michael Griebel, Helmut Harbrecht
Analysis of Tensor Approximation Schemes for Continuous Functions. Found. Comput. Math. 23 (1) (2023)
Michael Griebel, Helmut Harbrecht, Reinhold Schneider
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Math. Comput. 92 (342) (2023)
Marc Dambrine, Helmut Harbrecht, Bénédicte Puig
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case. Comput. Methods Appl. Math. 23 (2) (2023)
Davide Baroli, Helmut Harbrecht, Michael Multerer
Samplet basis pursuit. CoRR (2023)
Helmut Harbrecht, Marc Schmidlin, Christoph Schwab
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs. CoRR (2023)
Jürgen Dölz, Helmut Harbrecht, Michael D. Multerer
Solving acoustic scattering problems by the isogeometric boundary element method. CoRR (2023)
Helmut Harbrecht, Michael D. Multerer, Olaf Schenk, Christoph Schwab
Multiresolution kernel matrix algebra. CoRR (2022)
Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
Uncertainty quantification for random domains using periodic random variables. CoRR (2022)
Rahel Brügger, Helmut Harbrecht
On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem. SIAM J. Control. Optim. 60 (1) (2022)
Helmut Harbrecht, Michael D. Multerer
Samplets: Construction and scattered data compression. J. Comput. Phys. 471 (2022)
Michael Griebel, Helmut Harbrecht, Reinhold Schneider
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. CoRR (2022)
Stephan Dahlke, Helmut Harbrecht, Thomas M. Surowiec
A Wavelet-Based Approach for the Simulation and Optimal Control of NonLocal Operator Equations. SIAM J. Sci. Comput. 44 (4) (2022)
Rahel Brügger, Helmut Harbrecht, Johannes Tausch
On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation. SIAM J. Control. Optim. 59 (2) (2021)
Helmut Harbrecht, Michael D. Multerer, Remo von Rickenbach
Isogeometric shape optimization for scaffold structures. CoRR (2021)
Helmut Harbrecht, Ilja Kalmykov
Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control. SIAM J. Control. Optim. 59 (6) (2021)
Helmut Harbrecht, Michael D. Multerer
A fast direct solver for nonlocal operators in wavelet coordinates. J. Comput. Phys. 428 (2021)
Helmut Harbrecht, Lukas Herrmann, Kristin Kirchner, Christoph Schwab
Multilevel approximation of Gaussian random fields: Covariance compression, estimation and spatial prediction. CoRR (2021)
Helmut Harbrecht, Michael D. Multerer
Samplets: A new paradigm for data compression. CoRR (2021)
Seif Ben Bader, Helmut Harbrecht, Rolf Krause, Michael D. Multerer, Alessio Quaglino, Marc Schmidlin
Space-time multilevel quadrature methods and their application for cardiac electrophysiology. CoRR (2021)
Michael Griebel, Helmut Harbrecht, Michael D. Multerer
Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains. SIAM J. Numer. Anal. 58 (1) (2020)
Helmut Harbrecht, Michael D. Multerer
A fast direct solver for nonlocal operators in wavelet coordinates. CoRR (2020)
Jürgen Dölz, Helmut Harbrecht, Stefan Kurz, Michael D. Multerer, Sebastian Schöps, Felix Wolf
Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation. SoftwareX 11 (2020)
Marc Dambrine, Helmut Harbrecht
Shape Optimization for Composite Materials and Scaffold Structures. Multiscale Model. Simul. 18 (2) (2020)
Jürgen Dölz, Helmut Harbrecht, Carlos Jerez-Hanckes, Michael D. Multerer
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. CoRR (2020)
Fabien Caubet, Marc Dambrine, Helmut Harbrecht
A New Method for the Data Completion Problem and Application to Obstacle Detection. SIAM J. Appl. Math. 79 (1) (2019)
Jürgen Dölz, Thomas Gerig, Marcel Lüthi, Helmut Harbrecht, Thomas Vetter
Error-Controlled Model Approximation for Gaussian Process Morphable Models. J. Math. Imaging Vis. 61 (4) (2019)
Helmut Harbrecht, Peter Zaspel
On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems. J. Sci. Comput. 78 (2) (2019)
Jürgen Dölz, Helmut Harbrecht, Michael D. Multerer
On the Best Approximation of the Hierarchical Matrix Product. SIAM J. Matrix Anal. Appl. 40 (1) (2019)
Jürgen Dölz, Helmut Harbrecht, Stefan Kurz, Michael D. Multerer, Sebastian Schöps, Felix Wolf
Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation. CoRR (2019)
Sepideh Alassi, Tobias Schweizer, Martin Mattmüller, Lukas Rosenthaler, Helmut Harbrecht
A Digital Edition of Leonhard Euler's Correspondence with Christian Goldbach. DH (2018)
Helmut Harbrecht, Peter Zaspel
A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters. CoRR (2018)
Helmut Harbrecht, Johannes Tausch
A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Numerische Mathematik 140 (1) (2018)
Abdul-Lateef Haji-Ali, Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
Novel results for the anisotropic sparse grid quadrature. J. Complex. 47 (2018)
Jürgen Dölz, Helmut Harbrecht
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. J. Comput. Phys. 371 (2018)
Helmut Harbrecht, Michael Peters, Marc Schmidlin
Uncertainty Quantification for PDEs with Anisotropic Random Diffusion. SIAM J. Numer. Anal. 55 (2) (2017)
Tobias Julius Schweizer, Sepideh Alassi, Martin Mattmüller, Lukas Rosenthaler, Helmut Harbrecht
Integrating historical scientific texts into the Bernoulli-Euler Online platform. DH (2017)
Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion. Math. Comput. 86 (304) (2017)
Marc Dambrine, Isabelle Greff, Helmut Harbrecht, Bénédicte Puig
Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness. J. Comput. Phys. 330 (2017)
Jürgen Dölz, Helmut Harbrecht, Christoph Schwab
Covariance regularity and \(\mathcal {H}\) -matrix approximation for rough random fields. Numerische Mathematik 135 (4) (2017)
Jürgen Dölz, Helmut Harbrecht, Michael Peters
ℋ-Matrix Based Second Moment Analysis for Rough Random Fields and Finite Element Discretizations. SIAM J. Sci. Comput. 39 (4) (2017)
Helmut Harbrecht, Florian Loos
Optimization of current carrying multicables. Comput. Optim. Appl. 63 (1) (2016)
Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
Analysis of the domain mapping method for elliptic diffusion problems on random domains. Numerische Mathematik 134 (4) (2016)
Marc Dambrine, Isabelle Greff, Helmut Harbrecht, Bénédicte Puig
Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness. SIAM J. Numer. Anal. 54 (2) (2016)
Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient. SIAM/ASA J. Uncertain. Quantification 4 (1) (2016)
Helmut Harbrecht, Reinhold Schneider
A Note on Multilevel Based Error Estimation. Comput. Methods Appl. Math. 16 (3) (2016)
Jürgen Dölz, Helmut Harbrecht, Michael Peters
ℋ-matrix Accelerated Second Moment Analysis for Potentials with Rough Correlation. J. Sci. Comput. 65 (1) (2015)
Marc Dambrine, Charles Dapogny, Helmut Harbrecht
Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides. SIAM J. Control. Optim. 53 (5) (2015)
Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
Efficient approximation of random fields for numerical applications. Numer. Linear Algebra Appl. 22 (4) (2015)
Daniel Alm, Helmut Harbrecht, Ulf Krämer
-wavelet method. J. Comput. Appl. Math. 267 (2014)
Michael Griebel, Helmut Harbrecht
On the construction of sparse tensor product spaces. Math. Comput. 82 (282) (2013)
Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
Combination technique based k-th moment analysis of elliptic problems with random diffusion. J. Comput. Phys. 252 (2013)
Helmut Harbrecht, Johannes Tausch
On the Numerical Solution of a Shape Optimization Problem for the Heat Equation. SIAM J. Sci. Comput. 35 (1) (2013)
Helmut Harbrecht
Preconditioning of wavelet BEM by the incomplete Cholesky factorization. Comput. Vis. Sci. 15 (6) (2012)
Karsten Eppler, Helmut Harbrecht
On a Kohn-Vogelius like formulation of free boundary problems. Comput. Optim. Appl. 52 (1) (2012)
Helmut Harbrecht, Maharavo Randrianarivony
Wavelet BEM on molecular surfaces: solvent excluded surfaces. Computing 92 (4) (2011)
Helmut Harbrecht, Maharavo Randrianarivony
From Computer Aided Design to wavelet BEM. Comput. Vis. Sci. 13 (2) (2010)
Ville Weijo, Maharavo Randrianarivony, Helmut Harbrecht, Luca Frediani
Wavelet formulation of the polarizable continuum model. J. Comput. Chem. 31 (7) (2010)
Karsten Eppler, Helmut Harbrecht
Tracking Neumann Data for Stationary Free Boundary Problems. SIAM J. Control. Optim. 48 (5) (2009)
Helmut Harbrecht, Maharavo Randrianarivony
Wavelet BEM on molecular surfaces: parametrization and implementation. Computing 86 (1) (2009)
Karsten Eppler, Helmut Harbrecht, Mario S. Mommer
A new fictitious domain method in shape optimization. Comput. Optim. Appl. 40 (2) (2008)
Karsten Eppler, Helmut Harbrecht
Compact gradient tracking in shape optimization. Comput. Optim. Appl. 39 (3) (2008)
Helmut Harbrecht
A Newton method for Bernoulli's free boundary problem in three dimensions. Computing 82 (1) (2008)
Helmut Harbrecht, Reinhold Schneider, Christoph Schwab
Multilevel frames for sparse tensor product spaces. Numerische Mathematik 110 (2) (2008)
Helmut Harbrecht, Reinhold Schneider, Christoph Schwab
Sparse second moment analysis for elliptic problems in stochastic domains. Numerische Mathematik 109 (3) (2008)
Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider
Adaptive methods for boundary integral equations: Complexity and convergence estimates. Math. Comput. 76 (259) (2007)
Tsogtgerel Gantumur, Helmut Harbrecht, Rob P. Stevenson
An optimal adaptive wavelet method without coarsening of the iterands. Math. Comput. 76 (258) (2007)
Karsten Eppler, Helmut Harbrecht, Reinhold Schneider
On Convergence in Elliptic Shape Optimization. SIAM J. Control. Optim. 46 (1) (2007)
Helmut Harbrecht, Rob P. Stevenson
Wavelets with patchwise cancellation properties. Math. Comput. 75 (256) (2006)
Karsten Eppler, Helmut Harbrecht
Second-order shape optimization using wavelet BEM. Optim. Methods Softw. 21 (1) (2006)
Helmut Harbrecht, Reinhold Schneider
Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature. SIAM J. Sci. Comput. 27 (4) (2006)
Karsten Eppler, Helmut Harbrecht
Coupling of FEM and BEM in Shape Optimization. Numerische Mathematik 104 (1) (2006)
Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider
Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. SIAM J. Numer. Anal. 43 (6) (2006)
Karsten Eppler, Helmut Harbrecht
Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM. Optim. Methods Softw. 18 (1) (2003)
Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider
Least Squares Methods for the Coupling of FEM and BEM. SIAM J. Numer. Anal. 41 (5) (2003)
Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider
Multiscale preconditioning for the coupling of FEM-BEM. Numer. Linear Algebra Appl. 10 (3) (2003)
Helmut Harbrecht, Sergei V. Pereverzev, Reinhold Schneider
Self-regularization by projection for noisy pseudodifferential equations of negative order. Numerische Mathematik 95 (1) (2003)
Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Numerische Mathematik 92 (2) (2002)