Biorthogonal wavelet approximation for the coupling of FEM-BEM. - Helmut Harbrecht; Freddy Paiva; Cristian Pérez; Reinhold Schneider (Numerische Mathematik, 2002)

Multiscale preconditioning for the coupling of FEM-BEM. - Helmut Harbrecht; Freddy Paiva; Cristian Pérez; Reinhold Schneider (Numer. Linear Algebra Appl., 2003)

Self-regularization by projection for noisy pseudodifferential equations of negative order. - Helmut Harbrecht; Sergei V. Pereverzev; Reinhold Schneider (Numerische Mathematik, 2003)

Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM. - Karsten Eppler; Helmut Harbrecht (Optim. Methods Softw., 2003)

Least Squares Methods for the Coupling of FEM and BEM. - Gabriel N. Gatica; Helmut Harbrecht; Reinhold Schneider (SIAM J. Numer. Anal., 2003)

Wavelets with patchwise cancellation properties. - Helmut Harbrecht; Rob P. Stevenson (Math. Comput., 2006)

Coupling of FEM and BEM in Shape Optimization. - Karsten Eppler; Helmut Harbrecht (Numerische Mathematik, 2006)

Second-order shape optimization using wavelet BEM. - Karsten Eppler; Helmut Harbrecht (Optim. Methods Softw., 2006)

Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. - Wolfgang Dahmen; Helmut Harbrecht; Reinhold Schneider (SIAM J. Numer. Anal., 2006)

Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature. - Helmut Harbrecht; Reinhold Schneider (SIAM J. Sci. Comput., 2006)

Adaptive methods for boundary integral equations: Complexity and convergence estimates. - Wolfgang Dahmen; Helmut Harbrecht; Reinhold Schneider (Math. Comput., 2007)

An optimal adaptive wavelet method without coarsening of the iterands. - Tsogtgerel Gantumur; Helmut Harbrecht; Rob P. Stevenson (Math. Comput., 2007)

On Convergence in Elliptic Shape Optimization. - Karsten Eppler; Helmut Harbrecht; Reinhold Schneider (SIAM J. Control. Optim., 2007)

Compact gradient tracking in shape optimization. - Karsten Eppler; Helmut Harbrecht (Comput. Optim. Appl., 2008)

A new fictitious domain method in shape optimization. - Karsten Eppler; Helmut Harbrecht; Mario S. Mommer (Comput. Optim. Appl., 2008)

A Newton method for Bernoulli's free boundary problem in three dimensions. - Helmut Harbrecht (Computing, 2008)

Multilevel frames for sparse tensor product spaces. - Helmut Harbrecht; Reinhold Schneider; Christoph Schwab (Numerische Mathematik, 2008)

Sparse second moment analysis for elliptic problems in stochastic domains. - Helmut Harbrecht; Reinhold Schneider; Christoph Schwab (Numerische Mathematik, 2008)

Wavelet BEM on molecular surfaces: parametrization and implementation. - Helmut Harbrecht; Maharavo Randrianarivony (Computing, 2009)

Tracking Neumann Data for Stationary Free Boundary Problems. - Karsten Eppler; Helmut Harbrecht (SIAM J. Control. Optim., 2009)

From Computer Aided Design to wavelet BEM. - Helmut Harbrecht; Maharavo Randrianarivony (Comput. Vis. Sci., 2010)

Wavelet formulation of the polarizable continuum model. - Ville Weijo; Maharavo Randrianarivony; Helmut Harbrecht; Luca Frediani (J. Comput. Chem., 2010)

Wavelet BEM on molecular surfaces: solvent excluded surfaces. - Helmut Harbrecht; Maharavo Randrianarivony (Computing, 2011)

Shape Optimization for Free Boundary Problems - Analysis and Numerics. - Karsten Eppler; Helmut Harbrecht (Constrained Optimization and Optimal Control for Partial Differential Equations, 2012)

On a Kohn-Vogelius like formulation of free boundary problems. - Karsten Eppler; Helmut Harbrecht (Comput. Optim. Appl., 2012)

Preconditioning of wavelet BEM by the incomplete Cholesky factorization. - Helmut Harbrecht (Comput. Vis. Sci., 2012)

Combination technique based k-th moment analysis of elliptic problems with random diffusion. - Helmut Harbrecht; Michael Peters; Markus Siebenmorgen (J. Comput. Phys., 2013)

On the construction of sparse tensor product spaces. - Michael Griebel; Helmut Harbrecht (Math. Comput., 2013)

On the Numerical Solution of a Shape Optimization Problem for the Heat Equation. - Helmut Harbrecht; Johannes Tausch (SIAM J. Sci. Comput., 2013)

The H2-wavelet method. - Daniel Alm; Helmut Harbrecht; Ulf Krämer (J. Comput. Appl. Math., 2014)

ℋ-matrix Accelerated Second Moment Analysis for Potentials with Rough Correlation. - Jürgen Dölz; Helmut Harbrecht; Michael Peters (J. Sci. Comput., 2015)

Efficient approximation of random fields for numerical applications. - Helmut Harbrecht; Michael Peters; Markus Siebenmorgen (Numer. Linear Algebra Appl., 2015)

Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides. - Marc Dambrine; Charles Dapogny; Helmut Harbrecht (SIAM J. Control. Optim., 2015)

A Note on Multilevel Based Error Estimation. - Helmut Harbrecht; Reinhold Schneider (Comput. Methods Appl. Math., 2016)

Optimization of current carrying multicables. - Helmut Harbrecht; Florian Loos (Comput. Optim. Appl., 2016)

Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient. - Helmut Harbrecht; Michael Peters; Markus Siebenmorgen (SIAM/ASA J. Uncertain. Quantification, 2016)

Analysis of the domain mapping method for elliptic diffusion problems on random domains. - Helmut Harbrecht; Michael Peters; Markus Siebenmorgen (Numerische Mathematik, 2016)

Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness. - Marc Dambrine; Isabelle Greff; Helmut Harbrecht; Bénédicte Puig (SIAM J. Numer. Anal., 2016)

Integrating historical scientific texts into the Bernoulli-Euler Online platform. - Tobias Julius Schweizer; Sepideh Alassi; Martin Mattmüller; Lukas Rosenthaler; Helmut Harbrecht (DH, 2017)

Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness. - Marc Dambrine; Isabelle Greff; Helmut Harbrecht; Bénédicte Puig (J. Comput. Phys., 2017)

On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion. - Helmut Harbrecht; Michael Peters; Markus Siebenmorgen (Math. Comput., 2017)

Covariance regularity and ( mathcal {H} ) -matrix approximation for rough random fields. - Jürgen Dölz; Helmut Harbrecht; Christoph Schwab (Numerische Mathematik, 2017)

Uncertainty Quantification for PDEs with Anisotropic Random Diffusion. - Helmut Harbrecht; Michael Peters; Marc Schmidlin (SIAM J. Numer. Anal., 2017)

ℋ-Matrix Based Second Moment Analysis for Rough Random Fields and Finite Element Discretizations. - Jürgen Dölz; Helmut Harbrecht; Michael Peters (SIAM J. Sci. Comput., 2017)

A Digital Edition of Leonhard Euler's Correspondence with Christian Goldbach. - Sepideh Alassi; Tobias Schweizer; Martin Mattmüller; Lukas Rosenthaler; Helmut Harbrecht (DH, 2018)

A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters. - Helmut Harbrecht; Peter Zaspel (CoRR, 2018)

Novel results for the anisotropic sparse grid quadrature. - Abdul-Lateef Haji-Ali; Helmut Harbrecht; Michael Peters; Markus Siebenmorgen (J. Complex., 2018)

Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. - Jürgen Dölz; Helmut Harbrecht (J. Comput. Phys., 2018)

A fast sparse grid based space-time boundary element method for the nonstationary heat equation. - Helmut Harbrecht; Johannes Tausch (Numerische Mathematik, 2018)

Error-Controlled Model Approximation for Gaussian Process Morphable Models. - Jürgen Dölz; Thomas Gerig; Marcel Lüthi; Helmut Harbrecht; Thomas Vetter (J. Math. Imaging Vis., 2019)

On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems. - Helmut Harbrecht; Peter Zaspel (J. Sci. Comput., 2019)

A New Method for the Data Completion Problem and Application to Obstacle Detection. - Fabien Caubet; Marc Dambrine; Helmut Harbrecht (SIAM J. Appl. Math., 2019)

On the Best Approximation of the Hierarchical Matrix Product. - Jürgen Dölz; Helmut Harbrecht; Michael D. Multerer (SIAM J. Matrix Anal. Appl., 2019)

Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. - Jürgen Dölz; Helmut Harbrecht; Carlos Jerez-Hanckes; Michael D. Multerer (CoRR, 2020)

Shape Optimization for Composite Materials and Scaffold Structures. - Marc Dambrine; Helmut Harbrecht (Multiscale Model. Simul., 2020)

Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains. - Michael Griebel; Helmut Harbrecht; Michael D. Multerer (SIAM J. Numer. Anal., 2020)

Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation. - Jürgen Dölz; Helmut Harbrecht; Stefan Kurz; Michael D. Multerer; Sebastian Schöps; Felix Wolf 002 (SoftwareX, 2020)

Isogeometric shape optimization for scaffold structures. - Helmut Harbrecht; Michael D. Multerer; Remo von Rickenbach (CoRR, 2021)

Samplets: A new paradigm for data compression. - Helmut Harbrecht; Michael D. Multerer (CoRR, 2021)

A fast direct solver for nonlocal operators in wavelet coordinates. - Helmut Harbrecht; Michael D. Multerer (J. Comput. Phys., 2021)

On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation. - Rahel Brügger; Helmut Harbrecht; Johannes Tausch (SIAM J. Control. Optim., 2021)

Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control. - Helmut Harbrecht; Ilja Kalmykov (SIAM J. Control. Optim., 2021)

Samplets: Construction and scattered data compression. - Helmut Harbrecht; Michael D. Multerer (J. Comput. Phys., 2022)

On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem. - Rahel Brügger; Helmut Harbrecht (SIAM J. Control. Optim., 2022)

A Wavelet-Based Approach for the Simulation and Optimal Control of NonLocal Operator Equations. - Stephan Dahlke; Helmut Harbrecht; Thomas M. Surowiec (SIAM J. Sci. Comput., 2022)

Samplet basis pursuit. - Davide Baroli; Helmut Harbrecht; Michael D. Multerer (CoRR, 2023)

The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs. - Helmut Harbrecht; Marc Schmidlin; Christoph Schwab (CoRR, 2023)

Analysis of Tensor Approximation Schemes for Continuous Functions. - Michael Griebel; Helmut Harbrecht (Found. Comput. Math., 2023)

Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. - Michael Griebel; Helmut Harbrecht; Reinhold Schneider (Math. Comput., 2023)

Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case. - Marc Dambrine; Helmut Harbrecht; Bénédicte Puig (Comput. Methods Appl. Math., 2023)

Space-time Multilevel Quadrature Methods and their Application for Cardiac Electrophysiology. - Seif Ben Bader; Helmut Harbrecht; Rolf Krause; Michael D. Multerer; Alessio Quaglino; Marc Schmidlin (SIAM/ASA J. Uncertain. Quantification, 2023)

The dimension weighted fast multipole method for scattered data approximation. - Helmut Harbrecht; Michael D. Multerer; Jacopo Quizi (CoRR, 2024)

Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation. - Helmut Harbrecht; Christoph Schwab; Marco Zank (CoRR, 2024)

On Quasi-Localized Dual Pairs in Reproducing Kernel Hilbert Spaces. - Helmut Harbrecht; Rüdiger Kempf; Michael D. Multerer (CoRR, 2024)

Quantifying Domain Uncertainty in Linear Elasticity. - Helmut Harbrecht; Viacheslav Karnaev; Marc Schmidlin (SIAM/ASA J. Uncertain. Quantification, 2024)

Samplet Basis Pursuit: Multiresolution Scattered Data Approximation With Sparsity Constraints. - Davide Baroli; Helmut Harbrecht; Michael D. Multerer (IEEE Trans. Signal Process., 2024)

Uncertainty quantification for random domains using periodic random variables. - Harri Hakula; Helmut Harbrecht; Vesa Kaarnioja; Frances Y. Kuo; Ian H. Sloan (Numerische Mathematik, 2024)

Identification of Sparsely Representable Diffusion Parameters in Elliptic Problems. - Luzia N. Felber; Helmut Harbrecht; Marc Schmidlin (SIAM J. Imaging Sci., 2024)

Multiresolution kernel matrix algebra. - Helmut Harbrecht; Michael D. Multerer; Olaf Schenk; Christoph Schwab (Numerische Mathematik, 2024)

Compression of boundary integral operators discretized by anisotropic wavelet bases. - Helmut Harbrecht; Remo von Rickenbach (Numerische Mathematik, 2024)

Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction. - Helmut Harbrecht; Lukas Herrmann; Kristin Kirchner; Christoph Schwab (Adv. Comput. Math., 2024)

Solving acoustic scattering problems by the isogeometric boundary element method. - Jürgen Dölz; Helmut Harbrecht; Michael D. Multerer (Eng. Comput., 2024)

Construction of quasi-localized dual bases in reproducing kernel Hilbert spaces. - Helmut Harbrecht; Rüdiger Kempf; Michael D. Multerer (J. Comput. Appl. Math., 2025)

Shape optimization of a thermoelastic body under thermal uncertainties. - Marc Dambrine; Giulio Gargantini; Helmut Harbrecht; Viacheslav Karnaev (J. Comput. Phys., 2025)

Shape Optimization under Constraints on the Probability of a Quadratic Functional to Exceed a Given Threshold. - Marc Dambrine; Giulio Gargantini; Helmut Harbrecht; Jérôme Maynadier (SIAM/ASA J. Uncertain. Quantification, 2025)

Samplets: Wavelet concepts for scattered data. - Helmut Harbrecht; Michael D. Multerer (CoRR, 2025)

On the Compressibility of Integral Operators in Anisotropic Wavelet Coordinates. - Helmut Harbrecht; Remo von Rickenbach (CoRR, 2025)

Kernel Interpolation on Sparse Grids. - Michael Griebel; Helmut Harbrecht; Michael D. Multerer (CoRR, 2025)