Helmut Harbrecht

99 papers Journal 96Unranked 2

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Elliptic PDEs on log-Gaussian Shapes: Sparsity and Finite Element Discretization. CoRR Dinh Dung, Helmut Harbrecht, Van Kien Nguyen, Christoph Schwab
2025	J	`jnl`	An inverse problem for the one-phase Stefan problem with varying melting temperature. CoRR Marc Dambrine, Helmut Harbrecht
2025	J	`jnl`	Construction of quasi-localized dual bases in reproducing kernel Hilbert spaces. J. Comput. Appl. Math. Helmut Harbrecht, Rüdiger Kempf, Michael D. Multerer
2025	J	`jnl`	Kernel Interpolation on Sparse Grids. CoRR Michael Griebel, Helmut Harbrecht, Michael D. Multerer
2025	J	`jnl`	Kernel interpolation in Sobolev spaces of hybrid regularity. CoRR Michael Griebel, Helmut Harbrecht
2025	J	`jnl`	On the Compressibility of Integral Operators in Anisotropic Wavelet Coordinates. CoRR Helmut Harbrecht, Remo von Rickenbach
2025	J	`jnl`	Samplets: Wavelet concepts for scattered data. CoRR Helmut Harbrecht, Michael D. Multerer
2025	J	`jnl`	Shape Optimization under Constraints on the Probability of a Quadratic Functional to Exceed a Given Threshold. SIAM/ASA J. Uncertain. Quantification Marc Dambrine, Giulio Gargantini, Helmut Harbrecht, Jérôme Maynadier
2025	J	`jnl`	Shape optimization of a thermoelastic body under thermal uncertainties. J. Comput. Phys. Marc Dambrine, Giulio Gargantini, Helmut Harbrecht, Viacheslav Karnaev
2024	J	`jnl`	Compression of boundary integral operators discretized by anisotropic wavelet bases. Numerische Mathematik Helmut Harbrecht, Remo von Rickenbach
2024	J	`jnl`	Identification of Sparsely Representable Diffusion Parameters in Elliptic Problems. SIAM J. Imaging Sci. Luzia N. Felber, Helmut Harbrecht, Marc Schmidlin
2024	J	`jnl`	Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction. Adv. Comput. Math. Helmut Harbrecht, Lukas Herrmann, Kristin Kirchner, Christoph Schwab
2024	J	`jnl`	Multiresolution kernel matrix algebra. Numerische Mathematik Helmut Harbrecht, Michael D. Multerer, Olaf Schenk, Christoph Schwab
2024	J	`jnl`	On Quasi-Localized Dual Pairs in Reproducing Kernel Hilbert Spaces. CoRR Helmut Harbrecht, Rüdiger Kempf, Michael D. Multerer
2024	J	`jnl`	Quantifying Domain Uncertainty in Linear Elasticity. SIAM/ASA J. Uncertain. Quantification Helmut Harbrecht, Viacheslav Karnaev, Marc Schmidlin
2024	J	`jnl`	Samplet Basis Pursuit: Multiresolution Scattered Data Approximation With Sparsity Constraints. IEEE Trans. Signal Process. Davide Baroli, Helmut Harbrecht, Michael D. Multerer
2024	J	`jnl`	Solving acoustic scattering problems by the isogeometric boundary element method. Eng. Comput. Jürgen Dölz, Helmut Harbrecht, Michael D. Multerer
2024	J	`jnl`	The dimension weighted fast multipole method for scattered data approximation. CoRR Helmut Harbrecht, Michael D. Multerer, Jacopo Quizi
2024	J	`jnl`	Uncertainty quantification for random domains using periodic random variables. Numerische Mathematik Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
2024	J	`jnl`	Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation. CoRR Helmut Harbrecht, Christoph Schwab, Marco Zank
2023	J	`jnl`	Analysis of Tensor Approximation Schemes for Continuous Functions. Found. Comput. Math. Michael Griebel, Helmut Harbrecht
2023	J	`jnl`	Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case. Comput. Methods Appl. Math. Marc Dambrine, Helmut Harbrecht, Bénédicte Puig
2023	J	`jnl`	Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Math. Comput. Michael Griebel, Helmut Harbrecht, Reinhold Schneider
2023	J	`jnl`	Samplet basis pursuit. CoRR Davide Baroli, Helmut Harbrecht, Michael D. Multerer
2023	J	`jnl`	Solving acoustic scattering problems by the isogeometric boundary element method. CoRR Jürgen Dölz, Helmut Harbrecht, Michael D. Multerer
2023	J	`jnl`	Space-time Multilevel Quadrature Methods and their Application for Cardiac Electrophysiology. SIAM/ASA J. Uncertain. Quantification Seif Ben Bader, Helmut Harbrecht, Rolf Krause, Michael D. Multerer, Alessio Quaglino, Marc Schmidlin
2023	J	`jnl`	The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs. CoRR Helmut Harbrecht, Marc Schmidlin, Christoph Schwab
2022	J	`jnl`	A Wavelet-Based Approach for the Simulation and Optimal Control of NonLocal Operator Equations. SIAM J. Sci. Comput. Stephan Dahlke, Helmut Harbrecht, Thomas M. Surowiec
2022	J	`jnl`	Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. CoRR Michael Griebel, Helmut Harbrecht, Reinhold Schneider
2022	J	`jnl`	Multiresolution kernel matrix algebra. CoRR Helmut Harbrecht, Michael D. Multerer, Olaf Schenk, Christoph Schwab
2022	J	`jnl`	On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem. SIAM J. Control. Optim. Rahel Brügger, Helmut Harbrecht
2022	J	`jnl`	Samplets: Construction and scattered data compression. J. Comput. Phys. Helmut Harbrecht, Michael D. Multerer
2022	J	`jnl`	Uncertainty quantification for random domains using periodic random variables. CoRR Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
2021	J	`jnl`	A fast direct solver for nonlocal operators in wavelet coordinates. J. Comput. Phys. Helmut Harbrecht, Michael D. Multerer
2021	J	`jnl`	Isogeometric shape optimization for scaffold structures. CoRR Helmut Harbrecht, Michael D. Multerer, Remo von Rickenbach
2021	J	`jnl`	Multilevel approximation of Gaussian random fields: Covariance compression, estimation and spatial prediction. CoRR Helmut Harbrecht, Lukas Herrmann, Kristin Kirchner, Christoph Schwab
2021	J	`jnl`	On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation. SIAM J. Control. Optim. Rahel Brügger, Helmut Harbrecht, Johannes Tausch
2021	J	`jnl`	Samplets: A new paradigm for data compression. CoRR Helmut Harbrecht, Michael D. Multerer
2021	J	`jnl`	Space-time multilevel quadrature methods and their application for cardiac electrophysiology. CoRR Seif Ben Bader, Helmut Harbrecht, Rolf Krause, Michael D. Multerer, Alessio Quaglino, Marc Schmidlin
2021	J	`jnl`	Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control. SIAM J. Control. Optim. Helmut Harbrecht, Ilja Kalmykov
2020	J	`jnl`	A fast direct solver for nonlocal operators in wavelet coordinates. CoRR Helmut Harbrecht, Michael D. Multerer
2020	J	`jnl`	Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation. SoftwareX Jürgen Dölz, Helmut Harbrecht, Stefan Kurz, Michael D. Multerer, Sebastian Schöps, Felix Wolf
2020	J	`jnl`	Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. CoRR Jürgen Dölz, Helmut Harbrecht, Carlos Jerez-Hanckes, Michael D. Multerer
2020	J	`jnl`	Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains. SIAM J. Numer. Anal. Michael Griebel, Helmut Harbrecht, Michael D. Multerer
2020	J	`jnl`	Shape Optimization for Composite Materials and Scaffold Structures. Multiscale Model. Simul. Marc Dambrine, Helmut Harbrecht
2019	J	`jnl`	A New Method for the Data Completion Problem and Application to Obstacle Detection. SIAM J. Appl. Math. Fabien Caubet, Marc Dambrine, Helmut Harbrecht
2019	J	`jnl`	Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation. CoRR Jürgen Dölz, Helmut Harbrecht, Stefan Kurz, Michael D. Multerer, Sebastian Schöps, Felix Wolf
2019	J	`jnl`	Error-Controlled Model Approximation for Gaussian Process Morphable Models. J. Math. Imaging Vis. Jürgen Dölz, Thomas Gerig, Marcel Lüthi, Helmut Harbrecht, Thomas Vetter
2019	J	`jnl`	On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems. J. Sci. Comput. Helmut Harbrecht, Peter Zaspel
2019	J	`jnl`	On the Best Approximation of the Hierarchical Matrix Product. SIAM J. Matrix Anal. Appl. Jürgen Dölz, Helmut Harbrecht, Michael D. Multerer
2018	—	`conf`	A Digital Edition of Leonhard Euler's Correspondence with Christian Goldbach. DH Sepideh Alassi, Tobias Schweizer, Martin Mattmüller, Lukas Rosenthaler, Helmut Harbrecht
2018	J	`jnl`	A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Numerische Mathematik Helmut Harbrecht, Johannes Tausch
2018	J	`jnl`	A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters. CoRR Helmut Harbrecht, Peter Zaspel
2018	J	`jnl`	Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. J. Comput. Phys. Jürgen Dölz, Helmut Harbrecht
2018	J	`jnl`	Novel results for the anisotropic sparse grid quadrature. J. Complex. Abdul-Lateef Haji-Ali, Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
2017	J	`jnl`	Covariance regularity and \(\mathcal {H}\) -matrix approximation for rough random fields. Numerische Mathematik Jürgen Dölz, Helmut Harbrecht, Christoph Schwab
2017	—	`conf`	Integrating historical scientific texts into the Bernoulli-Euler Online platform. DH Tobias Julius Schweizer, Sepideh Alassi, Martin Mattmüller, Lukas Rosenthaler, Helmut Harbrecht
2017	J	`jnl`	Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness. J. Comput. Phys. Marc Dambrine, Isabelle Greff, Helmut Harbrecht, Bénédicte Puig
2017	J	`jnl`	On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion. Math. Comput. Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
2017	J	`jnl`	Uncertainty Quantification for PDEs with Anisotropic Random Diffusion. SIAM J. Numer. Anal. Helmut Harbrecht, Michael Peters, Marc Schmidlin
2017	J	`jnl`	ℋ-Matrix Based Second Moment Analysis for Rough Random Fields and Finite Element Discretizations. SIAM J. Sci. Comput. Jürgen Dölz, Helmut Harbrecht, Michael Peters
2016	J	`jnl`	A Note on Multilevel Based Error Estimation. Comput. Methods Appl. Math. Helmut Harbrecht, Reinhold Schneider
2016	J	`jnl`	Analysis of the domain mapping method for elliptic diffusion problems on random domains. Numerische Mathematik Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
2016	J	`jnl`	Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient. SIAM/ASA J. Uncertain. Quantification Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
2016	J	`jnl`	Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness. SIAM J. Numer. Anal. Marc Dambrine, Isabelle Greff, Helmut Harbrecht, Bénédicte Puig
2016	J	`jnl`	Optimization of current carrying multicables. Comput. Optim. Appl. Helmut Harbrecht, Florian Loos
2015	J	`jnl`	Efficient approximation of random fields for numerical applications. Numer. Linear Algebra Appl. Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
2015	J	`jnl`	Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides. SIAM J. Control. Optim. Marc Dambrine, Charles Dapogny, Helmut Harbrecht
2015	J	`jnl`	ℋ-matrix Accelerated Second Moment Analysis for Potentials with Rough Correlation. J. Sci. Comput. Jürgen Dölz, Helmut Harbrecht, Michael Peters
2014	J	`jnl`	The H J. Comput. Appl. Math. Daniel Alm, Helmut Harbrecht, Ulf Krämer
2013	J	`jnl`	Combination technique based k-th moment analysis of elliptic problems with random diffusion. J. Comput. Phys. Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
2013	J	`jnl`	On the Numerical Solution of a Shape Optimization Problem for the Heat Equation. SIAM J. Sci. Comput. Helmut Harbrecht, Johannes Tausch
2013	J	`jnl`	On the construction of sparse tensor product spaces. Math. Comput. Michael Griebel, Helmut Harbrecht
2012	J	`jnl`	On a Kohn-Vogelius like formulation of free boundary problems. Comput. Optim. Appl. Karsten Eppler, Helmut Harbrecht
2012	J	`jnl`	Preconditioning of wavelet BEM by the incomplete Cholesky factorization. Comput. Vis. Sci. Helmut Harbrecht
2012	—	`ch.`	Shape Optimization for Free Boundary Problems - Analysis and Numerics. Constrained Optimization and Optimal Control for Partial Differential Equations Karsten Eppler, Helmut Harbrecht
2011	J	`jnl`	Wavelet BEM on molecular surfaces: solvent excluded surfaces. Computing Helmut Harbrecht, Maharavo Randrianarivony
2010	J	`jnl`	From Computer Aided Design to wavelet BEM. Comput. Vis. Sci. Helmut Harbrecht, Maharavo Randrianarivony
2010	J	`jnl`	Wavelet formulation of the polarizable continuum model. J. Comput. Chem. Ville Weijo, Maharavo Randrianarivony, Helmut Harbrecht, Luca Frediani
2009	J	`jnl`	Tracking Neumann Data for Stationary Free Boundary Problems. SIAM J. Control. Optim. Karsten Eppler, Helmut Harbrecht
2009	J	`jnl`	Wavelet BEM on molecular surfaces: parametrization and implementation. Computing Helmut Harbrecht, Maharavo Randrianarivony
2008	J	`jnl`	A Newton method for Bernoulli's free boundary problem in three dimensions. Computing Helmut Harbrecht
2008	J	`jnl`	A new fictitious domain method in shape optimization. Comput. Optim. Appl. Karsten Eppler, Helmut Harbrecht, Mario S. Mommer
2008	J	`jnl`	Compact gradient tracking in shape optimization. Comput. Optim. Appl. Karsten Eppler, Helmut Harbrecht
2008	J	`jnl`	Multilevel frames for sparse tensor product spaces. Numerische Mathematik Helmut Harbrecht, Reinhold Schneider, Christoph Schwab
2008	J	`jnl`	Sparse second moment analysis for elliptic problems in stochastic domains. Numerische Mathematik Helmut Harbrecht, Reinhold Schneider, Christoph Schwab
2007	J	`jnl`	Adaptive methods for boundary integral equations: Complexity and convergence estimates. Math. Comput. Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider
2007	J	`jnl`	An optimal adaptive wavelet method without coarsening of the iterands. Math. Comput. Tsogtgerel Gantumur, Helmut Harbrecht, Rob P. Stevenson
2007	J	`jnl`	On Convergence in Elliptic Shape Optimization. SIAM J. Control. Optim. Karsten Eppler, Helmut Harbrecht, Reinhold Schneider
2006	J	`jnl`	Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. SIAM J. Numer. Anal. Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider
2006	J	`jnl`	Coupling of FEM and BEM in Shape Optimization. Numerische Mathematik Karsten Eppler, Helmut Harbrecht
2006	J	`jnl`	Second-order shape optimization using wavelet BEM. Optim. Methods Softw. Karsten Eppler, Helmut Harbrecht
2006	J	`jnl`	Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature. SIAM J. Sci. Comput. Helmut Harbrecht, Reinhold Schneider
2006	J	`jnl`	Wavelets with patchwise cancellation properties. Math. Comput. Helmut Harbrecht, Rob P. Stevenson
2003	J	`jnl`	Least Squares Methods for the Coupling of FEM and BEM. SIAM J. Numer. Anal. Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider
2003	J	`jnl`	Multiscale preconditioning for the coupling of FEM-BEM. Numer. Linear Algebra Appl. Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider
2003	J	`jnl`	Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM. Optim. Methods Softw. Karsten Eppler, Helmut Harbrecht
2003	J	`jnl`	Self-regularization by projection for noisy pseudodifferential equations of negative order. Numerische Mathematik Helmut Harbrecht, Sergei V. Pereverzev, Reinhold Schneider
2002	J	`jnl`	Biorthogonal wavelet approximation for the coupling of FEM-BEM. Numerische Mathematik Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider