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Author ID: harbrecht.helmut Recent zbMATH articles by "Harbrecht, Helmut"
Published as: Harbrecht, Helmut; Harbrecht, H.; Harbrecht, Helumt; Harbrech, Helmut
Homepage: https://cm.dmi.unibas.ch/
External Links: MGP · dblp · GND
all top 5

Co-Authors

9 single-authored
29 Multerer, Michael D.
20 Schneider, Reinhold
18 Eppler, Karsten
9 Dambrine, Marc
9 Dölz, Jürgen
8 Griebel, Michael
8 Schwab, Christoph
6 Puig, Bénédicte
6 Siebenmorgen, Markus
6 Tausch, Johannes
5 Brügger, Rahel
5 Schmidlin, Marc
4 Wendland, Wolfgang L.
4 Zorii, Natalia
3 Randrianarivony, Maharavo
3 Zaspel, Peter
2 Bürli, Christine
2 Chitnis, Nakul
2 Croce, Roberto
2 Dahlke, Stephan
2 Dahmen, Wolfgang A.
2 Greff, Isabelle
2 Hohage, Thorsten
2 Kähler, Uwe
2 Kunoth, Angela
2 Mitrou, Giannoula
2 Moor, Manuela
2 Odermatt, Peter
2 Paiva, Freddy
2 Pérez, Cristian
2 Sayasone, Somphou
2 Stevenson, Rob P.
1 Alm, Daniel
1 Baroli, Davide
1 Ben Bader, Seif
1 Benner, Peter
1 Buffa, Annalisa
1 Bugeanu, Monica
1 Caubet, Fabien
1 Dapogny, Charles
1 Engell, Sebastian
1 Fallahpour, Merlin
1 Gantumur, Tsogtgerel
1 Gatica, Gabriel N.
1 Gerig, Thomas
1 Griewank, Andreas
1 Haji-Ali, Abdul-Lateef
1 Hakula, Harri
1 Herrmann, Lukas
1 Hinze, Michael
1 Ilić, Nikola
1 Jakeman, John Davis
1 Jerez-Hanckes, Carlos
1 Kaarnioja, Vesa
1 Kalmykov, Ilja
1 Kirchner, Kristin
1 Konik, Michael
1 Krämer, Ulf
1 Krause, Rolf H.
1 Kuo, Frances Y.
1 Kurz, Stefan
1 Leugering, Günter
1 Li, Jingzhi
1 Loos, Florian
1 Lüthi, Marcel
1 Mommer, Mario S.
1 Pereverzev, Sergei V.
1 Quaglino, Alessio
1 Quizi, Jacopo
1 Rannacher, Rolf
1 Sangalli, Giancarlo
1 Schenk, Olaf
1 Schlenkrich, Sebastian
1 Schöps, Sebastian
1 Simoncini, Valeria
1 Sloan, Ian Hugh
1 Surowiec, Thomas
1 Ulbrich, Stefan
1 Urban, Karsten
1 Vetter, Thomas
1 von Rickenbach, Remo
1 Walther, Andrea
1 Weimar, Markus
1 Wolf, Felix L.
1 Zank, Marco
all top 5

Serials

9 Numerische Mathematik
6 Computer Methods in Applied Mechanics and Engineering
6 Mathematics of Computation
6 SIAM Journal on Control and Optimization
6 Applied Numerical Mathematics
5 Journal of Computational Physics
5 Mathematical Methods in the Applied Sciences
5 SIAM Journal on Numerical Analysis
4 Computational Optimization and Applications
4 SIAM Journal on Scientific Computing
3 Computing
3 Mathematische Nachrichten
3 Engineering Analysis with Boundary Elements
3 Computing and Visualization in Science
2 IMA Journal of Numerical Analysis
2 Journal of Mathematical Analysis and Applications
2 Numerical Functional Analysis and Optimization
2 Journal of Scientific Computing
2 Numerical Linear Algebra with Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Optimization Methods & Software
2 Computational Methods in Applied Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 SIAM/ASA Journal on Uncertainty Quantification
1 Inverse Problems
1 Mathematical Biosciences
1 Control and Cybernetics
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 Journal of Complexity
1 Constructive Approximation
1 Numerical Methods for Partial Differential Equations
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Integral Equations and Applications
1 SIAM Journal on Applied Mathematics
1 Journal of Mathematical Imaging and Vision
1 Journal of Mathematical Chemistry
1 Journal of Mathematical Study
1 Interfaces and Free Boundaries
1 Optimization and Engineering
1 Foundations of Computational Mathematics
1 Multiscale Modeling & Simulation
1 Oberwolfach Reports
1 ISNM. International Series of Numerical Mathematics
1 Communications in Computational Physics
1 Inverse Problems and Imaging
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 International Journal for Uncertainty Quantification
1 Journal of Theoretical Biology

Publications by Year

Citations contained in zbMATH Open

117 Publications have been cited 1,327 times in 676 Documents Cited by Year
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
84
2006
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
55
2008
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
54
2012
Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162
Harbrecht, Helmut; Schneider, Reinhold
47
2006
Analysis of the domain mapping method for elliptic diffusion problems on random domains. Zbl 1479.35969
Harbrecht, H.; Peters, M.; Siebenmorgen, M.
47
2016
An optimal adaptive wavelet method without coarsening of the iterands. Zbl 1115.41023
Gantumur, Tsogtgerel; Harbrecht, Helmut; Stevenson, Rob
46
2007
On convergence in elliptic shape optimization. Zbl 1354.49093
Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold
36
2007
BPX-preconditioning for isogeometric analysis. Zbl 1286.65151
Buffa, Annalisa; Harbrecht, Helmut; Kunoth, Angela; Sangalli, Giancarlo
36
2013
Efficient approximation of random fields for numerical applications. Zbl 1349.65048
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
31
2015
A regularized Newton method in electrical impedance tomography using shape Hessian information. Zbl 1167.49327
Eppler, Karsten; Harbrecht, Helmut
30
2005
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
29
2008
A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems. Zbl 1439.65208
Dölz, Jürgen; Harbrecht, Helmut; Kurz, Stefan; Schöps, Sebastian; Wolf, Felix
26
2018
Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136
Harbrecht, Helmut; Schneider, Reinhold
25
2004
First order second moment analysis for stochastic interface problems based on low-rank approximation. Zbl 1297.65009
Harbrecht, Helmut; Li, Jingzhi
25
2013
On the construction of sparse tensor product spaces. Zbl 1267.41012
Griebel, Michael; Harbrecht, Helmut
25
2013
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
23
2007
Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100
Harbrecht, Helmut; Hohage, Thorsten
22
2007
Efficient treatment of stationary free boundary problems. Zbl 1104.65111
Eppler, Karsten; Harbrecht, Helmut
21
2006
Wavelets with patchwise cancellation properties. Zbl 1112.46012
Harbrecht, Helmut; Stevenson, Rob
20
2006
Approximation of bi-variate functions: Singular value decomposition versus sparse grids. Zbl 1287.65009
Griebel, Michael; Harbrecht, Helmut
20
2014
On the numerical solution of a shape optimization problem for the heat equation. Zbl 1264.65156
Harbrecht, Helmut; Tausch, Johannes
20
2013
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
19
2016
Combination technique based \(k\)-th moment analysis of elliptic problems with random diffusion. Zbl 1349.35441
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
17
2013
Tracking Neumann data for stationary free boundary problems. Zbl 1202.49052
Eppler, Karsten; Harbrecht, Helmut
17
2010
On a Kohn-Vogelius like formulation of free boundary problems. Zbl 1258.49069
Eppler, Karsten; Harbrecht, Helmut
17
2012
Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
16
2017
Novel results for the anisotropic sparse grid quadrature. Zbl 1458.65021
Haji-Ali, A.-L.; Harbrecht, H.; Peters, M. D.; Siebenmorgen, M.
15
2018
Second-order shape optimization using wavelet BEM. Zbl 1086.49028
Eppler, K.; Harbrecht, H.
15
2006
Comparison of fast boundary element methods on parametric surfaces. Zbl 1286.65175
Harbrecht, H.; Peters, M.
15
2013
Numerical solution of elliptic shape optimization problems using wavelet-based BEM. Zbl 1061.49028
Eppler, K.; Harbrecht, H.
14
2003
On the convergence of the combination technique. Zbl 1316.65054
Griebel, Michael; Harbrecht, Helmut
14
2014
A finite element method for elliptic problems with stochastic input data. Zbl 1237.65009
Harbrecht, Helmut
13
2010
An efficient numerical method for a shape-identification problem arising from the heat equation. Zbl 1219.65132
Harbrecht, Helmut; Tausch, Johannes
13
2011
Fully discrete wavelet Galerkin schemes. Zbl 1035.65138
Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold
13
2003
Shape optimization for quadratic functionals and states with random right-hand sides. Zbl 1326.49070
Dambrine, Marc; Dapogny, Charles; Harbrecht, Helmut
13
2015
Shape optimization for free boundary problems - analysis and numerics. Zbl 1356.49073
Eppler, Karsten; Harbrecht, Helmut
13
2012
A note on the construction of \(L\)-fold sparse tensor product spaces. Zbl 1283.41015
Griebel, Michael; Harbrecht, Helmut
13
2013
From computer aided design to wavelet BEM. Zbl 1213.65146
Harbrecht, H.; Randrianarivony, M.
13
2010
Computing quantities of interest for random domains with second order shape sensitivity analysis. Zbl 1351.60062
Dambrine, Marc; Harbrecht, Helmut; Puig, Bénédicte
12
2015
Self-regularization by projection for noisy pseudodifferential equations of negative order. Zbl 1074.65130
Harbrecht, Helmut; Pereverzev, Sergei; Schneider, Reinhold
12
2003
On output functionals of boundary value problems on stochastic domains. Zbl 1181.35354
Harbrecht, Helmut
11
2010
Coupling of FEM and BEM in shape optimization. Zbl 1104.65065
Eppler, Karsten; Harbrecht, Helmut
11
2006
Analytical and numerical methods in shape optimization. Zbl 1153.49039
Harbrecht, Helmut
11
2008
A Newton method for Bernoulli’s free boundary problem in three dimensions. Zbl 1152.49044
Harbrecht, Helmut
11
2008
Riesz minimal energy problems on \(C^{k-1,1}\)-manifolds. Zbl 1288.31005
Harbrecht, Helmut; Wendland, Wolfgang L.; Zorii, Natalia
11
2014
On the quasi-Monte Carlo method with halton points for elliptic PDEs with log-normal diffusion. Zbl 1355.65010
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
10
2017
Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133
Harbrecht, Helmut; Schneider, Reinhold
10
2001
Tracking Dirichlet data in \(L^2\) is an ill-posed problem. Zbl 1217.49031
Eppler, K.; Harbrecht, H.
9
2010
Fast wavelet BEM for 3d electromagnetic shaping. Zbl 1114.78017
Eppler, Karsten; Harbrecht, Helmut
9
2005
Improved trial methods for a class of generalized Bernoulli problems. Zbl 1292.35341
Harbrecht, Helmut; Mitrou, Giannoula
9
2014
Trends in PDE constrained optimization. Zbl 1306.49001
9
2014
Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552
Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold
8
2003
Exterior electromagnetic shaping using wavelet BEM. Zbl 1061.49029
Eppler, K.; Harbrecht, H.
8
2005
On Riesz minimal energy problems. Zbl 1244.49058
Harbrecht, H.; Wendland, W. L.; Zorii, N.
8
2012
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114
Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R.
8
2002
Sparse tensor finite elements for elliptic multiple scale problems. Zbl 1230.65127
Harbrecht, Helmut; Schwab, Christoph
7
2011
Wavelet Galerkin BEM on unstructured meshes. Zbl 1512.65283
Harbrecht, H.; Kähler, U.; Schneider, R.
7
2005
The second order perturbation approach for elliptic partial differential equations on random domains. Zbl 1379.65003
Harbrecht, Helmut; Peters, Michael D.
7
2018
Numerical solution of the Poisson equation on domains with a thin layer of random thickness. Zbl 1382.65457
Dambrine, Marc; Greff, Isabelle; Harbrecht, Helmut; Puig, Benedicte
7
2016
\(\mathcal H\)-matrix accelerated second moment analysis for potentials with rough correlation. Zbl 1329.65013
Dölz, J.; Harbrecht, H.; Peters, M.
7
2015
Singular value decomposition versus sparse grids: refined complexity estimates. Zbl 1496.65020
Griebel, Michael; Harbrecht, Helmut
7
2019
Analysis of tensor approximation schemes for continuous functions. Zbl 07654471
Griebel, Michael; Harbrecht, Helmut
7
2023
On the numerical solution of a time-dependent shape optimization problem for the heat equation. Zbl 1461.49051
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes
7
2021
Wavelet BEM on molecular surfaces: solvent excluded surfaces. Zbl 1225.92065
Harbrecht, H.; Randrianarivony, M.
5
2011
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008
Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus
5
2018
Wavelet BEM on molecular surfaces: parametrization and implementation. Zbl 1241.65108
Harbrecht, Helmut; Randrianarivony, Maharavo
5
2009
Uncertainty quantification for PDEs with anisotropic random diffusion. Zbl 1432.35265
Harbrecht, H.; Peters, M. D.; Schmidlin, M.
5
2017
A new fictitious domain method in shape optimization. Zbl 1152.49043
Eppler, Karsten; Harbrecht, Helmut; Mommer, Mario S.
5
2008
Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing. Zbl 1426.46005
Balazs, Peter; Harbrecht, Helmut
5
2019
Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion. Zbl 1431.35258
Harbrecht, Helmut; Schmidlin, Marc
5
2020
Incorporating knowledge on the measurement noise in electrical impedance tomography. Zbl 1437.78003
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte
5
2019
A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Zbl 1403.65059
Harbrecht, Helmut; Tausch, Johannes
5
2018
Mathematical analysis of the transmission dynamics of the liver fluke, Opisthorchis viverrini. Zbl 1397.92619
Bürli, Christine; Harbrecht, Helmut; Odermatt, Peter; Sayasone, Somphou; Chitnis, Nakul
4
2018
Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness. Zbl 1380.65409
Dambrine, M.; Greff, I.; Harbrecht, H.; Puig, B.
4
2017
\(\mathcal{H}\)-matrix based second moment analysis for rough random fields and finite element discretizations. Zbl 1368.60070
Dölz, J.; Harbrecht, H.; Peters, M. D.
4
2017
A fast direct solver for nonlocal operators in wavelet coordinates. Zbl 07511425
Harbrecht, Helmut; Multerer, Michael
4
2021
Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains. Zbl 1434.65256
Griebel, Michael; Harbrecht, Helmut; Multerer, Michael D.
4
2020
A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. Zbl 1189.65113
Harbrecht, Helmut; Hohage, Thorsten
3
2009
Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126
Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold
3
2003
Second moment analysis for Robin boundary value problems on random domains. Zbl 1326.35370
Harbrecht, Helmut
3
2014
Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data. Zbl 1331.65165
Harbrecht, Helmut; Mitrou, Giannoula
3
2015
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. Zbl 1507.74529
Dölz, Jürgen; Harbrecht, Helmut; Jerez-Hanckes, Carlos; Multerer, Michael
3
2022
Shape optimization for composite materials and scaffold structures. Zbl 1446.49035
Dambrine, Marc; Harbrecht, Helmut
3
2020
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. Zbl 1415.65267
Dölz, Jürgen; Harbrecht, Helmut
3
2018
Wavelet-based boundary element methods for exterior electromagnetic shaping. Zbl 1244.78022
Eppler, K.; Harbrecht, H.
2
2008
The \(\mathcal H^2\)-wavelet method. Zbl 1293.65162
Alm, Daniel; Harbrecht, Helmut; Krämer, Ulf
2
2014
Solution of free boundary problems in the presence of geometric uncertainties. Zbl 1380.49022
Harbrecht, H.; Peters, M. D.
2
2017
A second order convergent trial method for a free boundary problem in three dimensions. Zbl 1331.65170
Bugeanu, Monica; Harbrecht, Helmut
2
2015
Optimization of current carrying multicables. Zbl 1333.49062
Harbrecht, Helmut; Loos, Florian
2
2016
Combination technique based second moment analysis for elliptic PDEs on random domains. Zbl 1339.65015
Harbrecht, Helmut; Peters, Michael
2
2016
Compact gradient tracking in shape optimization. Zbl 1181.90286
Eppler, Karsten; Harbrecht, Helmut
2
2008
A new method for the data completion problem and application to obstacle detection. Zbl 1423.35438
Caubet, Fabien; Dambrine, Marc; Harbrecht, Helmut
2
2019
Rapid computation of far-field statistics for random obstacle scattering. Zbl 1464.76089
Harbrecht, Helmut; Ilić, Nikola; Multerer, Michael D.
2
2019
On Bernoulli’s free boundary problem with a random boundary. Zbl 1498.35366
Dambrine, M.; Harbrecht, H.; Peters, M. D.; Puig, B.
2
2017
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. Zbl 07613009
Harbrecht, Helmut; Schmidlin, Marc
2
2022
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Zbl 07673301
Griebel, Michael; Harbrecht, Helmut; Schneider, Reinhold
2
2023
Shape optimization for 3D electrical impedance tomography. Zbl 1403.49042
Eppler, Karsten; Harbrech, Helmut
2
2007
Finite element based second moment analysis for elliptic problems in stochastic domains. Zbl 1216.65008
Harbrecht, H.
1
2010
Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179
Harbrecht, Helmut; Schneider, Reinhold
1
2009
On analytical derivatives for geometry optimization in the polarizable continuum model. Zbl 1304.82073
Harbrecht, Helmut
1
2011
Analysis of tensor approximation schemes for continuous functions. Zbl 07654471
Griebel, Michael; Harbrecht, Helmut
7
2023
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Zbl 07673301
Griebel, Michael; Harbrecht, Helmut; Schneider, Reinhold
2
2023
Bernoulli free boundary problems under uncertainty: the convex case. Zbl 1518.35695
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte
1
2023
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. Zbl 1507.74529
Dölz, Jürgen; Harbrecht, Helmut; Jerez-Hanckes, Carlos; Multerer, Michael
3
2022
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. Zbl 07613009
Harbrecht, Helmut; Schmidlin, Marc
2
2022
Isogeometric shape optimization of periodic structures in three dimensions. Zbl 1507.49034
Harbrecht, Helmut; Multerer, Michael; von Rickenbach, Remo
1
2022
Boundary integral operators for the heat equation in time-dependent domains. Zbl 1486.35482
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes
1
2022
On the reformulation of the classical Stefan problem as a shape optimization problem. Zbl 1481.49042
Brügger, Rahel; Harbrecht, Helmut
1
2022
On the numerical solution of a time-dependent shape optimization problem for the heat equation. Zbl 1461.49051
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes
7
2021
A fast direct solver for nonlocal operators in wavelet coordinates. Zbl 07511425
Harbrecht, Helmut; Multerer, Michael
4
2021
Cholesky-based experimental design for Gaussian process and kernel-based emulation and calibration. Zbl 1473.62089
Harbrecht, Helumt; Jakeman, John D.; Zaspel, Peter
1
2021
Sparse grid approximation of the Riccati operator for closed loop parabolic control problems with Dirichlet boundary control. Zbl 1480.49005
Harbrecht, Helmut; Kalmykov, Ilja
1
2021
Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion. Zbl 1431.35258
Harbrecht, Helmut; Schmidlin, Marc
5
2020
Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains. Zbl 1434.65256
Griebel, Michael; Harbrecht, Helmut; Multerer, Michael D.
4
2020
Shape optimization for composite materials and scaffold structures. Zbl 1446.49035
Dambrine, Marc; Harbrecht, Helmut
3
2020
Solving a Bernoulli type free boundary problem with random diffusion. Zbl 1453.35199
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
1
2020
Singular value decomposition versus sparse grids: refined complexity estimates. Zbl 1496.65020
Griebel, Michael; Harbrecht, Helmut
7
2019
Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing. Zbl 1426.46005
Balazs, Peter; Harbrecht, Helmut
5
2019
Incorporating knowledge on the measurement noise in electrical impedance tomography. Zbl 1437.78003
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte
5
2019
A new method for the data completion problem and application to obstacle detection. Zbl 1423.35438
Caubet, Fabien; Dambrine, Marc; Harbrecht, Helmut
2
2019
Rapid computation of far-field statistics for random obstacle scattering. Zbl 1464.76089
Harbrecht, Helmut; Ilić, Nikola; Multerer, Michael D.
2
2019
Wavelet boundary element methods: adaptivity and goal-oriented error estimation. Zbl 1431.65243
Harbrecht, Helmut; Moor, Manuela
1
2019
Error-controlled model approximation for Gaussian process morphable models. Zbl 1443.65030
Dölz, Jürgen; Gerig, Thomas; Lüthi, Marcel; Harbrecht, Helmut; Vetter, Thomas
1
2019
On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. Zbl 1417.65204
Harbrecht, Helmut; Zaspel, Peter
1
2019
On the best approximation of the hierarchical matrix product. Zbl 07011413
Dölz, Jürgen; Harbrecht, Helmut; Multerer, Michael D.
1
2019
A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems. Zbl 1439.65208
Dölz, Jürgen; Harbrecht, Helmut; Kurz, Stefan; Schöps, Sebastian; Wolf, Felix
26
2018
Novel results for the anisotropic sparse grid quadrature. Zbl 1458.65021
Haji-Ali, A.-L.; Harbrecht, H.; Peters, M. D.; Siebenmorgen, M.
15
2018
The second order perturbation approach for elliptic partial differential equations on random domains. Zbl 1379.65003
Harbrecht, Helmut; Peters, Michael D.
7
2018
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008
Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus
5
2018
A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Zbl 1403.65059
Harbrecht, Helmut; Tausch, Johannes
5
2018
Mathematical analysis of the transmission dynamics of the liver fluke, Opisthorchis viverrini. Zbl 1397.92619
Bürli, Christine; Harbrecht, Helmut; Odermatt, Peter; Sayasone, Somphou; Chitnis, Nakul
4
2018
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. Zbl 1415.65267
Dölz, Jürgen; Harbrecht, Helmut
3
2018
Solving a free boundary problem with nonconstant coefficients. Zbl 1397.35082
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
1
2018
Analysis of interventions against the liver fluke, Opisthorchis viverrini. Zbl 1405.92249
Bürli, Christine; Harbrecht, Helmut; Odermatt, Peter; Sayasone, Somphou; Chitnis, Nakul
1
2018
Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
16
2017
On the quasi-Monte Carlo method with halton points for elliptic PDEs with log-normal diffusion. Zbl 1355.65010
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
10
2017
Uncertainty quantification for PDEs with anisotropic random diffusion. Zbl 1432.35265
Harbrecht, H.; Peters, M. D.; Schmidlin, M.
5
2017
Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness. Zbl 1380.65409
Dambrine, M.; Greff, I.; Harbrecht, H.; Puig, B.
4
2017
\(\mathcal{H}\)-matrix based second moment analysis for rough random fields and finite element discretizations. Zbl 1368.60070
Dölz, J.; Harbrecht, H.; Peters, M. D.
4
2017
Solution of free boundary problems in the presence of geometric uncertainties. Zbl 1380.49022
Harbrecht, H.; Peters, M. D.
2
2017
On Bernoulli’s free boundary problem with a random boundary. Zbl 1498.35366
Dambrine, M.; Harbrecht, H.; Peters, M. D.; Puig, B.
2
2017
Analysis of the domain mapping method for elliptic diffusion problems on random domains. Zbl 1479.35969
Harbrecht, H.; Peters, M.; Siebenmorgen, M.
47
2016
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
19
2016
Numerical solution of the Poisson equation on domains with a thin layer of random thickness. Zbl 1382.65457
Dambrine, Marc; Greff, Isabelle; Harbrecht, Helmut; Puig, Benedicte
7
2016
Optimization of current carrying multicables. Zbl 1333.49062
Harbrecht, Helmut; Loos, Florian
2
2016
Combination technique based second moment analysis for elliptic PDEs on random domains. Zbl 1339.65015
Harbrecht, Helmut; Peters, Michael
2
2016
A note on multilevel based error estimation. Zbl 1342.65206
Harbrecht, Helmut; Schneider, Reinhold
1
2016
Efficient approximation of random fields for numerical applications. Zbl 1349.65048
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
31
2015
Shape optimization for quadratic functionals and states with random right-hand sides. Zbl 1326.49070
Dambrine, Marc; Dapogny, Charles; Harbrecht, Helmut
13
2015
Computing quantities of interest for random domains with second order shape sensitivity analysis. Zbl 1351.60062
Dambrine, Marc; Harbrecht, Helmut; Puig, Bénédicte
12
2015
\(\mathcal H\)-matrix accelerated second moment analysis for potentials with rough correlation. Zbl 1329.65013
Dölz, J.; Harbrecht, H.; Peters, M.
7
2015
Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data. Zbl 1331.65165
Harbrecht, Helmut; Mitrou, Giannoula
3
2015
A second order convergent trial method for a free boundary problem in three dimensions. Zbl 1331.65170
Bugeanu, Monica; Harbrecht, Helmut
2
2015
Approximation of bi-variate functions: Singular value decomposition versus sparse grids. Zbl 1287.65009
Griebel, Michael; Harbrecht, Helmut
20
2014
On the convergence of the combination technique. Zbl 1316.65054
Griebel, Michael; Harbrecht, Helmut
14
2014
Riesz minimal energy problems on \(C^{k-1,1}\)-manifolds. Zbl 1288.31005
Harbrecht, Helmut; Wendland, Wolfgang L.; Zorii, Natalia
11
2014
Improved trial methods for a class of generalized Bernoulli problems. Zbl 1292.35341
Harbrecht, Helmut; Mitrou, Giannoula
9
2014
Trends in PDE constrained optimization. Zbl 1306.49001
9
2014
Second moment analysis for Robin boundary value problems on random domains. Zbl 1326.35370
Harbrecht, Helmut
3
2014
The \(\mathcal H^2\)-wavelet method. Zbl 1293.65162
Alm, Daniel; Harbrecht, Helmut; Krämer, Ulf
2
2014
On shape optimization with parabolic state equation. Zbl 1320.49028
Harbrecht, Helmut; Tausch, Johannes
1
2014
BPX-preconditioning for isogeometric analysis. Zbl 1286.65151
Buffa, Annalisa; Harbrecht, Helmut; Kunoth, Angela; Sangalli, Giancarlo
36
2013
First order second moment analysis for stochastic interface problems based on low-rank approximation. Zbl 1297.65009
Harbrecht, Helmut; Li, Jingzhi
25
2013
On the construction of sparse tensor product spaces. Zbl 1267.41012
Griebel, Michael; Harbrecht, Helmut
25
2013
On the numerical solution of a shape optimization problem for the heat equation. Zbl 1264.65156
Harbrecht, Helmut; Tausch, Johannes
20
2013
Combination technique based \(k\)-th moment analysis of elliptic problems with random diffusion. Zbl 1349.35441
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
17
2013
Comparison of fast boundary element methods on parametric surfaces. Zbl 1286.65175
Harbrecht, H.; Peters, M.
15
2013
A note on the construction of \(L\)-fold sparse tensor product spaces. Zbl 1283.41015
Griebel, Michael; Harbrecht, Helmut
13
2013
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
54
2012
On a Kohn-Vogelius like formulation of free boundary problems. Zbl 1258.49069
Eppler, Karsten; Harbrecht, Helmut
17
2012
Shape optimization for free boundary problems - analysis and numerics. Zbl 1356.49073
Eppler, Karsten; Harbrecht, Helmut
13
2012
On Riesz minimal energy problems. Zbl 1244.49058
Harbrecht, H.; Wendland, W. L.; Zorii, N.
8
2012
Preconditioning of wavelet BEM by the incomplete Cholesky factorization. Zbl 1360.65292
Harbrecht, Helmut
1
2012
An efficient numerical method for a shape-identification problem arising from the heat equation. Zbl 1219.65132
Harbrecht, Helmut; Tausch, Johannes
13
2011
Sparse tensor finite elements for elliptic multiple scale problems. Zbl 1230.65127
Harbrecht, Helmut; Schwab, Christoph
7
2011
Wavelet BEM on molecular surfaces: solvent excluded surfaces. Zbl 1225.92065
Harbrecht, H.; Randrianarivony, M.
5
2011
On analytical derivatives for geometry optimization in the polarizable continuum model. Zbl 1304.82073
Harbrecht, Helmut
1
2011
Tracking Neumann data for stationary free boundary problems. Zbl 1202.49052
Eppler, Karsten; Harbrecht, Helmut
17
2010
A finite element method for elliptic problems with stochastic input data. Zbl 1237.65009
Harbrecht, Helmut
13
2010
From computer aided design to wavelet BEM. Zbl 1213.65146
Harbrecht, H.; Randrianarivony, M.
13
2010
On output functionals of boundary value problems on stochastic domains. Zbl 1181.35354
Harbrecht, Helmut
11
2010
Tracking Dirichlet data in \(L^2\) is an ill-posed problem. Zbl 1217.49031
Eppler, K.; Harbrecht, H.
9
2010
Finite element based second moment analysis for elliptic problems in stochastic domains. Zbl 1216.65008
Harbrecht, H.
1
2010
Wavelet BEM on molecular surfaces: parametrization and implementation. Zbl 1241.65108
Harbrecht, Helmut; Randrianarivony, Maharavo
5
2009
A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. Zbl 1189.65113
Harbrecht, Helmut; Hohage, Thorsten
3
2009
Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179
Harbrecht, Helmut; Schneider, Reinhold
1
2009
On the numerical solution of Plateau’s problem. Zbl 1178.65069
Harbrecht, Helmut
1
2009
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
55
2008
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
29
2008
Analytical and numerical methods in shape optimization. Zbl 1153.49039
Harbrecht, Helmut
11
2008
A Newton method for Bernoulli’s free boundary problem in three dimensions. Zbl 1152.49044
Harbrecht, Helmut
11
2008
A new fictitious domain method in shape optimization. Zbl 1152.49043
Eppler, Karsten; Harbrecht, Helmut; Mommer, Mario S.
5
2008
Wavelet-based boundary element methods for exterior electromagnetic shaping. Zbl 1244.78022
Eppler, K.; Harbrecht, H.
2
2008
Compact gradient tracking in shape optimization. Zbl 1181.90286
Eppler, Karsten; Harbrecht, Helmut
2
2008
An optimal adaptive wavelet method without coarsening of the iterands. Zbl 1115.41023
Gantumur, Tsogtgerel; Harbrecht, Helmut; Stevenson, Rob
46
2007
On convergence in elliptic shape optimization. Zbl 1354.49093
Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold
36
2007
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
23
2007
Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100
Harbrecht, Helmut; Hohage, Thorsten
22
2007
Shape optimization for 3D electrical impedance tomography. Zbl 1403.49042
Eppler, Karsten; Harbrech, Helmut
2
2007
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
84
2006
...and 17 more Documents
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Cited by 936 Authors

92 Harbrecht, Helmut
38 Schwab, Christoph
26 Multerer, Michael D.
19 Stevenson, Rob P.
18 Griebel, Michael
14 Schneider, Reinhold
13 Dölz, Jürgen
13 Zorii, Natalia
12 Eppler, Karsten
11 Nobile, Fabio
11 Tausch, Johannes
10 Dambrine, Marc
10 Xiao, Jinyou
9 Tempone, Raúl F.
8 Kress, Rainer
8 Kuo, Frances Y.
8 Praetorius, Dirk
8 Schulz, Volker H.
8 Sloan, Ian Hugh
7 Hofreither, Clemens
7 Kressner, Daniel
7 Li, Junpu
7 Rabago, Julius Fergy Tiongson
7 Scacchi, Simone
6 Bachmayr, Markus
6 Balazs, Peter
6 Chernov, Alexey
6 Cho, Durkbin
6 Dahlke, Stephan
6 Dehghan Takht Fooladi, Mehdi
6 Hiptmair, Ralf
6 Pavarino, Luca Franco
6 Scheichl, Robert
6 Siebenborn, Martin
6 Siebenmorgen, Markus
6 Urban, Karsten
6 Wen, Lihua
6 Zech, Jakob
5 Assari, Pouria
5 Chen, Zhongying
5 Dahmen, Wolfgang A.
5 Dinh Dũng
5 Eigel, Martin
5 Fu, Zhuojia
5 Führer, Thomas
5 Gantner, Gregor
5 Gantumur, Tsogtgerel
5 Haji-Ali, Abdul-Lateef
5 Jerez-Hanckes, Carlos
5 Kunoth, Angela
5 Kurz, Stefan
5 Manni, Carla
5 Melenk, Jens Markus
5 Nochetto, Ricardo Horacio
5 Puig, Bénédicte
5 Qin, Qinghua
5 Randrianarivony, Maharavo
5 Rozza, Gianluigi
5 Sangalli, Giancarlo
5 Schmidt, Stephan
5 Speleers, Hendrik
5 Strazzullo, Maria
5 Tamellini, Lorenzo
5 Weimar, Markus
5 Wendland, Wolfgang L.
5 Zapletal, Jan
5 Zhu, Shengfeng
4 Antes, M. Y.
4 Bacani, Jerico B.
4 Ballarin, Francesco
4 Brügger, Rahel
4 Castrillon-Candas, Julio Enrique
4 Chen, Wen
4 Cohen, Albert
4 Dardé, Jérémi
4 Feischl, Michael
4 Fuglede, Bent
4 Garoni, Carlo
4 Gittelson, Claude Jeffrey
4 Hettlich, Frank
4 Hrizi, Mourad
4 Karinski, Yuri S.
4 Kestler, Sebastian
4 Le Louër, Frédérique
4 Merta, Michal
4 Nuyens, Dirk
4 Paganini, Alberto
4 Peichl, Gunther H.
4 Ravnik, Jure
4 Schmidlin, Marc
4 Serra-Capizzano, Stefano
4 Stephan, Ernst Peter
4 Vainikko, Gennadi
4 Welker, Kathrin
4 Yankelevsky, David Z.
4 Zeiser, Andreas
4 Zhang, Duo
4 Zhu, Jialin
4 Zulehner, Walter
3 Ali, Mazen
...and 836 more Authors
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Cited in 146 Serials

52 Computer Methods in Applied Mechanics and Engineering
35 Numerische Mathematik
28 SIAM Journal on Scientific Computing
27 Journal of Computational Physics
25 Journal of Computational and Applied Mathematics
23 Engineering Analysis with Boundary Elements
23 SIAM/ASA Journal on Uncertainty Quantification
22 Computers & Mathematics with Applications
22 Mathematics of Computation
18 Journal of Scientific Computing
17 Advances in Computational Mathematics
16 Applied Numerical Mathematics
15 SIAM Journal on Numerical Analysis
14 Inverse Problems
14 Foundations of Computational Mathematics
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Applied Mathematics and Computation
9 Computational Methods in Applied Mathematics
7 Mathematical Methods in the Applied Sciences
7 SIAM Journal on Control and Optimization
7 Journal of Integral Equations and Applications
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Applied Mathematical Modelling
7 Computational Optimization and Applications
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Journal of Mathematical Analysis and Applications
6 Journal of Complexity
5 International Journal for Numerical Methods in Engineering
5 Numerical Functional Analysis and Optimization
5 Numerical Methods for Partial Differential Equations
5 Potential Analysis
5 Inverse Problems and Imaging
4 Computing
4 Mathematics and Computers in Simulation
4 Constructive Approximation
4 Computational Mechanics
4 SIAM Journal on Matrix Analysis and Applications
4 Numerical Algorithms
4 Journal of Inverse and Ill-Posed Problems
4 Multiscale Modeling & Simulation
4 Acta Numerica
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Applicable Analysis
3 Journal of Engineering Mathematics
3 BIT
3 Journal of Approximation Theory
3 Journal of Optimization Theory and Applications
3 International Journal of Computer Mathematics
3 SIAM Review
3 Applied and Computational Harmonic Analysis
3 Computing and Visualization in Science
3 Optimization Methods & Software
3 Optimization and Engineering
3 Oberwolfach Reports
3 Inverse Problems in Science and Engineering
2 Applied Mathematics and Optimization
2 Integral Equations and Operator Theory
2 Mathematische Nachrichten
2 Computer Aided Geometric Design
2 Linear Algebra and its Applications
2 SIAM Journal on Optimization
2 Journal of Mathematical Imaging and Vision
2 Communications in Numerical Methods in Engineering
2 Numerical Linear Algebra with Applications
2 The Journal of Fourier Analysis and Applications
2 Abstract and Applied Analysis
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Mathematical Modelling and Analysis
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Applied Mathematics and Mechanics
2 Statistics and Computing
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 International Journal of Heat and Mass Transfer
1 Journal d’Analyse Mathématique
1 Mathematical Biosciences
1 Physica A
1 Ukrainian Mathematical Journal
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 ACM Transactions on Mathematical Software
1 Acta Mathematica Vietnamica
1 The Annals of Statistics
1 Calcolo
1 Journal of Econometrics
1 Journal of Multivariate Analysis
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Journal of Computational Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 The Journal of Geometric Analysis
1 Applications of Mathematics
1 Journal of Global Optimization
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
...and 46 more Serials
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Cited in 40 Fields

523 Numerical analysis (65-XX)
272 Partial differential equations (35-XX)
121 Calculus of variations and optimal control; optimization (49-XX)
90 Probability theory and stochastic processes (60-XX)
63 Mechanics of deformable solids (74-XX)
63 Fluid mechanics (76-XX)
48 Approximations and expansions (41-XX)
36 Optics, electromagnetic theory (78-XX)
34 Operator theory (47-XX)
32 Harmonic analysis on Euclidean spaces (42-XX)
30 Integral equations (45-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
25 Statistics (62-XX)
21 Computer science (68-XX)
20 Potential theory (31-XX)
20 Functional analysis (46-XX)
18 Biology and other natural sciences (92-XX)
11 Operations research, mathematical programming (90-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Systems theory; control (93-XX)
9 Information and communication theory, circuits (94-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 General and overarching topics; collections (00-XX)
5 Real functions (26-XX)
5 Statistical mechanics, structure of matter (82-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Ordinary differential equations (34-XX)
3 Manifolds and cell complexes (57-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Measure and integration (28-XX)
2 Differential geometry (53-XX)
2 Quantum theory (81-XX)
2 Geophysics (86-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

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