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2020 – today
- 2023
[j57]Michael Griebel, Helmut Harbrecht:
Analysis of Tensor Approximation Schemes for Continuous Functions. Found. Comput. Math. 23(1): 219-240 (2023)- 2022
- [j56]Helmut Harbrecht, Michael D. Multerer
:
Samplets: Construction and scattered data compression. J. Comput. Phys. 471: 111616 (2022) - [j55]Rahel Brügger, Helmut Harbrecht:
On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem. SIAM J. Control. Optim. 60(1): 310-329 (2022) - [i11]Michael Griebel, Helmut Harbrecht, Reinhold Schneider:
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. CoRR abs/2203.04100 (2022) - [i10]Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Uncertainty quantification for random domains using periodic random variables. CoRR abs/2210.17329 (2022) - [i9]Helmut Harbrecht, Michael D. Multerer, Olaf Schenk, Christoph Schwab:
Multiresolution kernel matrix algebra. CoRR abs/2211.11681 (2022) - 2021
- [j54]Helmut Harbrecht, Michael D. Multerer:
A fast direct solver for nonlocal operators in wavelet coordinates. J. Comput. Phys. 428: 110056 (2021) - [j53]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): 931-953 (2021) - [j52]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): 4538-4562 (2021) - [i8]Helmut Harbrecht, Lukas Herrmann, Kristin Kirchner, Christoph Schwab:
Multilevel approximation of Gaussian random fields: Covariance compression, estimation and spatial prediction. CoRR abs/2103.04424 (2021) - [i7]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 abs/2105.02007 (2021) - [i6]Helmut Harbrecht, Michael D. Multerer, Remo von Rickenbach:
Isogeometric shape optimization for scaffold structures. CoRR abs/2105.15158 (2021) - [i5]Helmut Harbrecht, Michael D. Multerer:
Samplets: A new paradigm for data compression. CoRR abs/2107.03337 (2021) - 2020
- [j51]Marc Dambrine, Helmut Harbrecht:
Shape Optimization for Composite Materials and Scaffold Structures. Multiscale Model. Simul. 18(2): 1136-1152 (2020) - [j50]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): 684-705 (2020) - [d1]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: 100476 (2020) - [i4]Helmut Harbrecht, Michael D. Multerer:
A fast direct solver for nonlocal operators in wavelet coordinates. CoRR abs/2007.01541 (2020) - [i3]Jürgen Dölz, Helmut Harbrecht, Carlos Jerez-Hanckes, Michael D. Multerer:
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. CoRR abs/2010.14613 (2020)
2010 – 2019
- 2019
- [j49]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): 443-457 (2019) - [j48]Helmut Harbrecht, Peter Zaspel:
On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems. J. Sci. Comput. 78(2): 1272-1290 (2019) - [j47]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): 415-435 (2019) - [j46]Jürgen Dölz, Helmut Harbrecht, Michael D. Multerer:
On the Best Approximation of the Hierarchical Matrix Product. SIAM J. Matrix Anal. Appl. 40(1): 147-174 (2019) - [i2]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 abs/1906.00785 (2019) - 2018
- [j45]Abdul-Lateef Haji-Ali, Helmut Harbrecht, Michael Peters, Markus Siebenmorgen:
Novel results for the anisotropic sparse grid quadrature. J. Complex. 47: 62-85 (2018) - [j44]Jürgen Dölz, Helmut Harbrecht:
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. J. Comput. Phys. 371: 506-527 (2018) - [j43]Helmut Harbrecht, Johannes Tausch:
A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Numerische Mathematik 140(1): 239-264 (2018) - [c2]Sepideh Alassi, Tobias Schweizer, Martin Mattmüller, Lukas Rosenthaler, Helmut Harbrecht:
A Digital Edition of Leonhard Euler's Correspondence with Christian Goldbach. DH 2018: 326-327 - [i1]Helmut Harbrecht, Peter Zaspel:
A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters. CoRR abs/1806.11558 (2018) - 2017
- [j42]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: 943-959 (2017) - [j41]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): 771-797 (2017) - [j40]Jürgen Dölz, Helmut Harbrecht, Christoph Schwab:
Covariance regularity and \(\mathcal {H}\) -matrix approximation for rough random fields. Numerische Mathematik 135(4): 1045-1071 (2017) - [j39]Helmut Harbrecht, Michael Peters, Marc Schmidlin:
Uncertainty Quantification for PDEs with Anisotropic Random Diffusion. SIAM J. Numer. Anal. 55(2): 1002-1023 (2017) - [j38]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) - [c1]Tobias Julius Schweizer, Sepideh Alassi, Martin Mattmüller, Lukas Rosenthaler, Helmut Harbrecht:
Integrating historical scientific texts into the Bernoulli-Euler Online platform. DH 2017 - 2016
- [j37]Helmut Harbrecht, Reinhold Schneider:
A Note on Multilevel Based Error Estimation. Comput. Methods Appl. Math. 16(3): 447-458 (2016) - [j36]Helmut Harbrecht, Florian Loos:
Optimization of current carrying multicables. Comput. Optim. Appl. 63(1): 237-271 (2016) - [j35]Helmut Harbrecht, Michael Peters, Markus Siebenmorgen:
Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient. SIAM/ASA J. Uncertain. Quantification 4(1): 520-551 (2016) - [j34]Helmut Harbrecht, Michael Peters, Markus Siebenmorgen:
Analysis of the domain mapping method for elliptic diffusion problems on random domains. Numerische Mathematik 134(4): 823-856 (2016) - [j33]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): 921-941 (2016) - 2015
- [j32]Jürgen Dölz, Helmut Harbrecht, Michael Peters:
ℋ-matrix Accelerated Second Moment Analysis for Potentials with Rough Correlation. J. Sci. Comput. 65(1): 387-410 (2015) - [j31]Helmut Harbrecht, Michael Peters, Markus Siebenmorgen:
Efficient approximation of random fields for numerical applications. Numer. Linear Algebra Appl. 22(4): 596-617 (2015) - [j30]Marc Dambrine, Charles Dapogny, Helmut Harbrecht:
Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides. SIAM J. Control. Optim. 53(5): 3081-3103 (2015) - 2014
- [j29]Daniel Alm, Helmut Harbrecht, Ulf Krämer:
The H2-wavelet method. J. Comput. Appl. Math. 267: 131-159 (2014) - 2013
- [j28]Helmut Harbrecht, Michael Peters, Markus Siebenmorgen:
Combination technique based k-th moment analysis of elliptic problems with random diffusion. J. Comput. Phys. 252: 128-141 (2013) - [j27]Michael Griebel, Helmut Harbrecht:
On the construction of sparse tensor product spaces. Math. Comput. 82(282): 975-994 (2013) - [j26]Helmut Harbrecht, Johannes Tausch:
On the Numerical Solution of a Shape Optimization Problem for the Heat Equation. SIAM J. Sci. Comput. 35(1) (2013) - 2012
- [j25]Karsten Eppler, Helmut Harbrecht:
On a Kohn-Vogelius like formulation of free boundary problems. Comput. Optim. Appl. 52(1): 69-85 (2012) - [j24]Helmut Harbrecht:
Preconditioning of wavelet BEM by the incomplete Cholesky factorization. Comput. Vis. Sci. 15(6): 319-329 (2012) - [p1]Karsten Eppler, Helmut Harbrecht:
Shape Optimization for Free Boundary Problems - Analysis and Numerics. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 277-288 - 2011
- [j23]Helmut Harbrecht, Maharavo Randrianarivony:
Wavelet BEM on molecular surfaces: solvent excluded surfaces. Computing 92(4): 335-364 (2011) - 2010
- [j22]Helmut Harbrecht, Maharavo Randrianarivony:
From Computer Aided Design to wavelet BEM. Comput. Vis. Sci. 13(2): 69-82 (2010) - [j21]Ville Weijo, Maharavo Randrianarivony, Helmut Harbrecht, Luca Frediani:
Wavelet formulation of the polarizable continuum model. J. Comput. Chem. 31(7): 1469-1477 (2010)
2000 – 2009
- 2009
- [j20]Helmut Harbrecht, Maharavo Randrianarivony:
Wavelet BEM on molecular surfaces: parametrization and implementation. Computing 86(1): 1-22 (2009) - [j19]Karsten Eppler, Helmut Harbrecht:
Tracking Neumann Data for Stationary Free Boundary Problems. SIAM J. Control. Optim. 48(5): 2901-2916 (2009) - 2008
- [j18]Karsten Eppler, Helmut Harbrecht:
Compact gradient tracking in shape optimization. Comput. Optim. Appl. 39(3): 297-318 (2008) - [j17]Karsten Eppler, Helmut Harbrecht, Mario S. Mommer:
A new fictitious domain method in shape optimization. Comput. Optim. Appl. 40(2): 281-298 (2008) - [j16]Helmut Harbrecht:
A Newton method for Bernoulli's free boundary problem in three dimensions. Computing 82(1): 11-30 (2008) - [j15]Helmut Harbrecht, Reinhold Schneider, Christoph Schwab:
Sparse second moment analysis for elliptic problems in stochastic domains. Numerische Mathematik 109(3): 385-414 (2008) - [j14]Helmut Harbrecht, Reinhold Schneider, Christoph Schwab:
Multilevel frames for sparse tensor product spaces. Numerische Mathematik 110(2): 199 (2008) - 2007
- [j13]Tsogtgerel Gantumur, Helmut Harbrecht, Rob P. Stevenson:
An optimal adaptive wavelet method without coarsening of the iterands. Math. Comput. 76(258): 615-629 (2007) - [j12]Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider:
Adaptive methods for boundary integral equations: Complexity and convergence estimates. Math. Comput. 76(259): 1243-1274 (2007) - [j11]Karsten Eppler, Helmut Harbrecht, Reinhold Schneider:
On Convergence in Elliptic Shape Optimization. SIAM J. Control. Optim. 46(1): 61-83 (2007) - 2006
- [j10]Helmut Harbrecht, Rob P. Stevenson:
Wavelets with patchwise cancellation properties. Math. Comput. 75(256): 1871-1889 (2006) - [j9]Karsten Eppler, Helmut Harbrecht:
Coupling of FEM and BEM in Shape Optimization. Numerische Mathematik 104(1): 47-68 (2006) - [j8]Karsten Eppler, Helmut Harbrecht:
Second-order shape optimization using wavelet BEM. Optim. Methods Softw. 21(1): 135-153 (2006) - [j7]Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider:
Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates. SIAM J. Numer. Anal. 43(6): 2251-2271 (2006) - [j6]Helmut Harbrecht, Reinhold Schneider:
Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature. SIAM J. Sci. Comput. 27(4): 1347-1370 (2006) - 2003
- [j5]Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider:
Multiscale preconditioning for the coupling of FEM-BEM. Numer. Linear Algebra Appl. 10(3): 197-222 (2003) - [j4]Helmut Harbrecht, Sergei V. Pereverzev, Reinhold Schneider:
Self-regularization by projection for noisy pseudodifferential equations of negative order. Numerische Mathematik 95(1): 123-143 (2003) - [j3]Karsten Eppler, Helmut Harbrecht:
Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM. Optim. Methods Softw. 18(1): 105-123 (2003) - [j2]Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider:
Least Squares Methods for the Coupling of FEM and BEM. SIAM J. Numer. Anal. 41(5): 1974-1995 (2003) - 2002
- [j1]Helmut Harbrecht, Freddy Paiva, Cristian Pérez, Reinhold Schneider:
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Numerische Mathematik 92(2): 325-356 (2002)
Coauthor Index
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