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Harbrecht, Helmut

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Author ID: harbrecht.helmut Recent zbMATH articles by "Harbrecht, Helmut"
Published as: Harbrecht, Helmut; Harbrecht, H.
Homepage: http://jones.math.unibas.ch/~harbrech
External Links: MGP · dblp · GND
Documents Indexed: 110 Publications since 2001, including 2 Books
all top 5

Serials

8 Numerische Mathematik
6 Applied Numerical Mathematics
5 Mathematical Methods in the Applied Sciences
5 Mathematics of Computation
5 SIAM Journal on Numerical Analysis
4 Computer Methods in Applied Mechanics and Engineering
4 SIAM Journal on Control and Optimization
4 Computational Optimization and Applications
3 Journal of Computational Physics
3 Computing
3 Mathematische Nachrichten
3 SIAM Journal on Scientific Computing
3 Engineering Analysis with Boundary Elements
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 Computing and Visualization in Science
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Optimization Methods & Software
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Inverse Problems
1 Mathematical Biosciences
1 Control and Cybernetics
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 Computational Methods in Applied Mathematics
1 Multiscale Modeling & Simulation
1 ISNM. International Series of Numerical Mathematics
1 Inverse Problems and Imaging
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Journal of Theoretical Biology
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 SIAM/ASA Journal on Uncertainty Quantification

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 985 times in 513 Documents Cited by Year
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
74
2006
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
45
2008
Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162
Harbrecht, Helmut; Schneider, Reinhold
42
2006
An optimal adaptive wavelet method without coarsening of the iterands. Zbl 1115.41023
Gantumur, Tsogtgerel; Harbrecht, Helmut; Stevenson, Rob
40
2007
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
37
2012
On convergence in elliptic shape optimization. Zbl 1354.49093
Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold
31
2007
Analysis of the domain mapping method for elliptic diffusion problems on random domains. Zbl 06654611
Harbrecht, H.; Peters, M.; Siebenmorgen, M.
30
2016
BPX-preconditioning for isogeometric analysis. Zbl 1286.65151
Buffa, Annalisa; Harbrecht, Helmut; Kunoth, Angela; Sangalli, Giancarlo
28
2013
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
25
2008
A regularized Newton method in electrical impedance tomography using shape Hessian information. Zbl 1167.49327
Eppler, Karsten; Harbrecht, Helmut
24
2005
Efficient approximation of random fields for numerical applications. Zbl 1349.65048
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
24
2015
Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136
Harbrecht, Helmut; Schneider, Reinhold
21
2004
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
20
2007
First order second moment analysis for stochastic interface problems based on low-rank approximation. Zbl 1297.65009
Harbrecht, Helmut; Li, Jingzhi
19
2013
On the numerical solution of a shape optimization problem for the heat equation. Zbl 1264.65156
Harbrecht, Helmut; Tausch, Johannes
19
2013
Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100
Harbrecht, Helmut; Hohage, Thorsten
18
2007
Efficient treatment of stationary free boundary problems. Zbl 1104.65111
Eppler, Karsten; Harbrecht, Helmut
17
2006
Wavelets with patchwise cancellation properties. Zbl 1112.46012
Harbrecht, Helmut; Stevenson, Rob
17
2006
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
16
2016
Tracking Neumann data for stationary free boundary problems. Zbl 1202.49052
Eppler, Karsten; Harbrecht, Helmut
15
2010
Combination technique based \(k\)-th moment analysis of elliptic problems with random diffusion. Zbl 1349.35441
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
15
2013
On the construction of sparse tensor product spaces. Zbl 1267.41012
Griebel, Michael; Harbrecht, Helmut
15
2013
Numerical solution of elliptic shape optimization problems using wavelet-based BEM. Zbl 1061.49028
Eppler, K.; Harbrecht, H.
14
2003
Second-order shape optimization using wavelet BEM. Zbl 1086.49028
Eppler, K.; Harbrecht, H.
14
2006
Approximation of bi-variate functions: Singular value decomposition versus sparse grids. Zbl 1287.65009
Griebel, Michael; Harbrecht, Helmut
14
2014
On a Kohn-Vogelius like formulation of free boundary problems. Zbl 1258.49069
Eppler, Karsten; Harbrecht, Helmut
14
2012
Fully discrete wavelet Galerkin schemes. Zbl 1035.65138
Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold
13
2003
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
11
2003
From computer aided design to wavelet BEM. Zbl 1213.65146
Harbrecht, H.; Randrianarivony, M.
11
2010
Shape optimization for free boundary problems - analysis and numerics. Zbl 1356.49073
Eppler, Karsten; Harbrecht, Helmut
11
2012
Novel results for the anisotropic sparse grid quadrature. Zbl 1458.65021
Haji-Ali, A.-L.; Harbrecht, H.; Peters, M. D.; Siebenmorgen, M.
11
2018
Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133
Harbrecht, Helmut; Schneider, Reinhold
10
2001
On output functionals of boundary value problems on stochastic domains. Zbl 1181.35354
Harbrecht, Helmut
10
2010
A finite element method for elliptic problems with stochastic input data. Zbl 1237.65009
Harbrecht, Helmut
10
2010
An efficient numerical method for a shape-identification problem arising from the heat equation. Zbl 1219.65132
Harbrecht, Helmut; Tausch, Johannes
10
2011
Riesz minimal energy problems on \(C^{k-1,1}\)-manifolds. Zbl 1288.31005
Harbrecht, Helmut; Wendland, Wolfgang L.; Zorii, Natalia
10
2014
Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
10
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
Comparison of fast boundary element methods on parametric surfaces. Zbl 1286.65175
Harbrecht, H.; Peters, M.
9
2013
On the convergence of the combination technique. Zbl 1316.65054
Griebel, Michael; Harbrecht, Helmut
9
2014
Exterior electromagnetic shaping using wavelet BEM. Zbl 1061.49029
Eppler, K.; Harbrecht, H.
8
2005
Fast wavelet BEM for 3d electromagnetic shaping. Zbl 1114.78017
Eppler, Karsten; Harbrecht, Helmut
8
2005
Coupling of FEM and BEM in shape optimization. Zbl 1104.65065
Eppler, Karsten; Harbrecht, Helmut
8
2006
A Newton method for Bernoulli’s free boundary problem in three dimensions. Zbl 1152.49044
Harbrecht, Helmut
8
2008
A note on the construction of \(L\)-fold sparse tensor product spaces. Zbl 1283.41015
Griebel, Michael; Harbrecht, Helmut
8
2013
Shape optimization for quadratic functionals and states with random right-hand sides. Zbl 1326.49070
Dambrine, Marc; Dapogny, Charles; Harbrecht, Helmut
8
2015
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114
Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R.
7
2002
Improved trial methods for a class of generalized Bernoulli problems. Zbl 1292.35341
Harbrecht, Helmut; Mitrou, Giannoula
7
2014
Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552
Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold
6
2003
Analytical and numerical methods in shape optimization. Zbl 1153.49039
Harbrecht, Helmut
6
2008
Tracking Dirichlet data in \(L^2\) is an ill-posed problem. Zbl 1217.49031
Eppler, K.; Harbrecht, H.
6
2010
\(\mathcal H\)-matrix accelerated second moment analysis for potentials with rough correlation. Zbl 1329.65013
Dölz, J.; Harbrecht, H.; Peters, M.
6
2015
On Riesz minimal energy problems. Zbl 1244.49058
Harbrecht, H.; Wendland, W. L.; Zorii, N.
6
2012
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
5
2018
A new fictitious domain method in shape optimization. Zbl 1152.49043
Eppler, Karsten; Harbrecht, Helmut; Mommer, Mario S.
4
2008
Sparse tensor finite elements for elliptic multiple scale problems. Zbl 1230.65127
Harbrecht, Helmut; Schwab, Christoph
4
2011
Wavelet BEM on molecular surfaces: parametrization and implementation. Zbl 1241.65108
Harbrecht, Helmut; Randrianarivony, Maharavo
4
2009
Wavelet BEM on molecular surfaces: solvent excluded surfaces. Zbl 1225.92065
Harbrecht, H.; Randrianarivony, M.
4
2011
Uncertainty quantification for PDEs with anisotropic random diffusion. Zbl 1432.35265
Harbrecht, H.; Peters, M. D.; Schmidlin, M.
4
2017
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
4
2016
Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126
Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold
3
2003
A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. Zbl 1189.65113
Harbrecht, Helmut; Hohage, Thorsten
3
2009
Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data. Zbl 1331.65165
Harbrecht, Helmut; Mitrou, Giannoula
3
2015
The second order perturbation approach for elliptic partial differential equations on random domains. Zbl 1379.65003
Harbrecht, Helmut; Peters, Michael D.
3
2018
\(\mathcal{H}\)-matrix based second moment analysis for rough random fields and finite element discretizations. Zbl 1368.60070
Dölz, J.; Harbrecht, H.; Peters, M. D.
3
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.
3
2017
Second moment analysis for Robin boundary value problems on random domains. Zbl 1326.35370
Harbrecht, Helmut
3
2014
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008
Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus
3
2018
Singular value decomposition versus sparse grids: refined complexity estimates. Zbl 07130803
Griebel, Michael; Harbrecht, Helmut
2
2019
Combination technique based second moment analysis for elliptic PDEs on random domains. Zbl 1339.65015
Harbrecht, Helmut; Peters, Michael
2
2016
A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Zbl 1403.65059
Harbrecht, Helmut; Tausch, Johannes
2
2018
A second order convergent trial method for a free boundary problem in three dimensions. Zbl 1331.65170
Bugeanu, Monica; Harbrecht, Helmut
2
2015
Trends in PDE constrained optimization. Zbl 1306.49001
Leugering, Günter (ed.); Benner, Peter (ed.); Engell, Sebastian (ed.); Griewank, Andreas (ed.); Harbrecht, Helmut (ed.); Hinze, Michael (ed.); Rannacher, Rolf (ed.); Ulbrich, Stefan (ed.)
2
2014
Wavelet-based boundary element methods for exterior electromagnetic shaping. Zbl 1244.78022
Eppler, K.; Harbrecht, H.
2
2008
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
2
2018
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. Zbl 1415.65267
Dölz, Jürgen; Harbrecht, Helmut
2
2018
A new method for the data completion problem and application to obstacle detection. Zbl 1423.35438
Caubet, Fabien; Dambrine, Marc; Harbrecht, Helmut
1
2019
Finite element based second moment analysis for elliptic problems in stochastic domains. Zbl 1216.65008
Harbrecht, H.
1
2010
On the numerical solution of Plateau’s problem. Zbl 1178.65069
Harbrecht, Helmut
1
2009
Compact gradient tracking in shape optimization. Zbl 1181.90286
Eppler, Karsten; Harbrecht, Helmut
1
2008
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
Solution of free boundary problems in the presence of geometric uncertainties. Zbl 1380.49022
Harbrecht, H.; Peters, M. D.
1
2017
Solving a free boundary problem with nonconstant coefficients. Zbl 1397.35082
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
1
2018
On shape optimization with parabolic state equation. Zbl 1320.49028
Harbrecht, Helmut; Tausch, Johannes
1
2014
Optimization of current carrying multicables. Zbl 1333.49062
Harbrecht, Helmut; Loos, Florian
1
2016
A note on multilevel based error estimation. Zbl 1342.65206
Harbrecht, Helmut; Schneider, Reinhold
1
2016
On the best approximation of the hierarchical matrix product. Zbl 07011413
Dölz, Jürgen; Harbrecht, Helmut; Multerer, Michael D.
1
2019
Rapid computation of far-field statistics for random obstacle scattering. Zbl 1464.76089
Harbrecht, Helmut; Ilić, Nikola; Multerer, Michael D.
1
2019
Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing. Zbl 1426.46005
Balazs, Peter; Harbrecht, Helmut
1
2019
On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. Zbl 1417.65204
Harbrecht, Helmut; Zaspel, Peter
1
2019
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.
1
2020
Incorporating knowledge on the measurement noise in electrical impedance tomography. Zbl 1437.78003
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte
1
2019
Solving a Bernoulli type free boundary problem with random diffusion. Zbl 1453.35199
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
1
2020
On the numerical solution of a time-dependent shape optimization problem for the heat equation. Zbl 1461.49051
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes
1
2021
On the numerical solution of a time-dependent shape optimization problem for the heat equation. Zbl 1461.49051
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes
1
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.
1
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 07130803
Griebel, Michael; Harbrecht, Helmut
2
2019
A new method for the data completion problem and application to obstacle detection. Zbl 1423.35438
Caubet, Fabien; Dambrine, Marc; Harbrecht, Helmut
1
2019
On the best approximation of the hierarchical matrix product. Zbl 07011413
Dölz, Jürgen; Harbrecht, Helmut; Multerer, Michael D.
1
2019
Rapid computation of far-field statistics for random obstacle scattering. Zbl 1464.76089
Harbrecht, Helmut; Ilić, Nikola; Multerer, Michael D.
1
2019
Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing. Zbl 1426.46005
Balazs, Peter; Harbrecht, Helmut
1
2019
On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. Zbl 1417.65204
Harbrecht, Helmut; Zaspel, Peter
1
2019
Incorporating knowledge on the measurement noise in electrical impedance tomography. Zbl 1437.78003
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte
1
2019
Novel results for the anisotropic sparse grid quadrature. Zbl 1458.65021
Haji-Ali, A.-L.; Harbrecht, H.; Peters, M. D.; Siebenmorgen, M.
11
2018
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
5
2018
The second order perturbation approach for elliptic partial differential equations on random domains. Zbl 1379.65003
Harbrecht, Helmut; Peters, Michael D.
3
2018
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008
Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus
3
2018
A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Zbl 1403.65059
Harbrecht, Helmut; Tausch, Johannes
2
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
2
2018
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. Zbl 1415.65267
Dölz, Jürgen; Harbrecht, Helmut
2
2018
Solving a free boundary problem with nonconstant coefficients. Zbl 1397.35082
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
1
2018
Covariance regularity and \(\mathcal {H}\)-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
10
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.
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.
3
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.
3
2017
Solution of free boundary problems in the presence of geometric uncertainties. Zbl 1380.49022
Harbrecht, H.; Peters, M. D.
1
2017
Analysis of the domain mapping method for elliptic diffusion problems on random domains. Zbl 06654611
Harbrecht, H.; Peters, M.; Siebenmorgen, M.
30
2016
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
16
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
4
2016
Combination technique based second moment analysis for elliptic PDEs on random domains. Zbl 1339.65015
Harbrecht, Helmut; Peters, Michael
2
2016
Optimization of current carrying multicables. Zbl 1333.49062
Harbrecht, Helmut; Loos, Florian
1
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
24
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
Shape optimization for quadratic functionals and states with random right-hand sides. Zbl 1326.49070
Dambrine, Marc; Dapogny, Charles; Harbrecht, Helmut
8
2015
\(\mathcal H\)-matrix accelerated second moment analysis for potentials with rough correlation. Zbl 1329.65013
Dölz, J.; Harbrecht, H.; Peters, M.
6
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
14
2014
Riesz minimal energy problems on \(C^{k-1,1}\)-manifolds. Zbl 1288.31005
Harbrecht, Helmut; Wendland, Wolfgang L.; Zorii, Natalia
10
2014
On the convergence of the combination technique. Zbl 1316.65054
Griebel, Michael; Harbrecht, Helmut
9
2014
Improved trial methods for a class of generalized Bernoulli problems. Zbl 1292.35341
Harbrecht, Helmut; Mitrou, Giannoula
7
2014
Second moment analysis for Robin boundary value problems on random domains. Zbl 1326.35370
Harbrecht, Helmut
3
2014
Trends in PDE constrained optimization. Zbl 1306.49001
Leugering, Günter; Benner, Peter; Engell, Sebastian; Griewank, Andreas; Harbrecht, Helmut; Hinze, Michael; Rannacher, Rolf; Ulbrich, Stefan
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
28
2013
First order second moment analysis for stochastic interface problems based on low-rank approximation. Zbl 1297.65009
Harbrecht, Helmut; Li, Jingzhi
19
2013
On the numerical solution of a shape optimization problem for the heat equation. Zbl 1264.65156
Harbrecht, Helmut; Tausch, Johannes
19
2013
Combination technique based \(k\)-th moment analysis of elliptic problems with random diffusion. Zbl 1349.35441
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
15
2013
On the construction of sparse tensor product spaces. Zbl 1267.41012
Griebel, Michael; Harbrecht, Helmut
15
2013
Comparison of fast boundary element methods on parametric surfaces. Zbl 1286.65175
Harbrecht, H.; Peters, M.
9
2013
A note on the construction of \(L\)-fold sparse tensor product spaces. Zbl 1283.41015
Griebel, Michael; Harbrecht, Helmut
8
2013
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
37
2012
On a Kohn-Vogelius like formulation of free boundary problems. Zbl 1258.49069
Eppler, Karsten; Harbrecht, Helmut
14
2012
Shape optimization for free boundary problems - analysis and numerics. Zbl 1356.49073
Eppler, Karsten; Harbrecht, Helmut
11
2012
On Riesz minimal energy problems. Zbl 1244.49058
Harbrecht, H.; Wendland, W. L.; Zorii, N.
6
2012
An efficient numerical method for a shape-identification problem arising from the heat equation. Zbl 1219.65132
Harbrecht, Helmut; Tausch, Johannes
10
2011
Sparse tensor finite elements for elliptic multiple scale problems. Zbl 1230.65127
Harbrecht, Helmut; Schwab, Christoph
4
2011
Wavelet BEM on molecular surfaces: solvent excluded surfaces. Zbl 1225.92065
Harbrecht, H.; Randrianarivony, M.
4
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
15
2010
From computer aided design to wavelet BEM. Zbl 1213.65146
Harbrecht, H.; Randrianarivony, M.
11
2010
On output functionals of boundary value problems on stochastic domains. Zbl 1181.35354
Harbrecht, Helmut
10
2010
A finite element method for elliptic problems with stochastic input data. Zbl 1237.65009
Harbrecht, Helmut
10
2010
Tracking Dirichlet data in \(L^2\) is an ill-posed problem. Zbl 1217.49031
Eppler, K.; Harbrecht, H.
6
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
4
2009
A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. Zbl 1189.65113
Harbrecht, Helmut; Hohage, Thorsten
3
2009
On the numerical solution of Plateau’s problem. Zbl 1178.65069
Harbrecht, Helmut
1
2009
Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179
Harbrecht, Helmut; Schneider, Reinhold
1
2009
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
45
2008
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
25
2008
A Newton method for Bernoulli’s free boundary problem in three dimensions. Zbl 1152.49044
Harbrecht, Helmut
8
2008
Analytical and numerical methods in shape optimization. Zbl 1153.49039
Harbrecht, Helmut
6
2008
A new fictitious domain method in shape optimization. Zbl 1152.49043
Eppler, Karsten; Harbrecht, Helmut; Mommer, Mario S.
4
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
1
2008
An optimal adaptive wavelet method without coarsening of the iterands. Zbl 1115.41023
Gantumur, Tsogtgerel; Harbrecht, Helmut; Stevenson, Rob
40
2007
On convergence in elliptic shape optimization. Zbl 1354.49093
Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold
31
2007
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
20
2007
Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100
Harbrecht, Helmut; Hohage, Thorsten
18
2007
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
74
2006
Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162
Harbrecht, Helmut; Schneider, Reinhold
42
2006
Efficient treatment of stationary free boundary problems. Zbl 1104.65111
Eppler, Karsten; Harbrecht, Helmut
17
2006
Wavelets with patchwise cancellation properties. Zbl 1112.46012
Harbrecht, Helmut; Stevenson, Rob
17
2006
Second-order shape optimization using wavelet BEM. Zbl 1086.49028
Eppler, K.; Harbrecht, H.
14
2006
Coupling of FEM and BEM in shape optimization. Zbl 1104.65065
Eppler, Karsten; Harbrecht, Helmut
8
2006
A regularized Newton method in electrical impedance tomography using shape Hessian information. Zbl 1167.49327
Eppler, Karsten; Harbrecht, Helmut
24
2005
Exterior electromagnetic shaping using wavelet BEM. Zbl 1061.49029
Eppler, K.; Harbrecht, H.
8
2005
Fast wavelet BEM for 3d electromagnetic shaping. Zbl 1114.78017
Eppler, Karsten; Harbrecht, Helmut
8
2005
Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136
Harbrecht, Helmut; Schneider, Reinhold
21
2004
Numerical solution of elliptic shape optimization problems using wavelet-based BEM. Zbl 1061.49028
Eppler, K.; Harbrecht, H.
14
2003
Fully discrete wavelet Galerkin schemes. Zbl 1035.65138
Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold
13
2003
Self-regularization by projection for noisy pseudodifferential equations of negative order. Zbl 1074.65130
Harbrecht, Helmut; Pereverzev, Sergei; Schneider, Reinhold
11
2003
Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552
Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold
6
2003
Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126
Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold
3
2003
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114
Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R.
7
2002
Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133
Harbrecht, Helmut; Schneider, Reinhold
10
2001
all top 5

Cited by 693 Authors

74 Harbrecht, Helmut
35 Schwab, Christoph
18 Stevenson, Rob P.
15 Peters, Michael D.
14 Griebel, Michael
12 Eppler, Karsten
12 Zorii, Natalia
11 Schneider, Reinhold
10 Xiao, Jinyou
9 Dölz, Jürgen
9 Nobile, Fabio
9 Tausch, Johannes
8 Dambrine, Marc
8 Kress, Rainer
8 Tempone, Raúl F.
7 Kuo, Frances Y.
7 Schulz, Volker H.
6 Chernov, Alexey
6 Cho, Durkbin
6 Hiptmair, Ralf
6 Kressner, Daniel
6 Scacchi, Simone
6 Siebenborn, Martin
6 Siebenmorgen, Markus
6 Sloan, Ian Hugh
6 Wen, Lihua
5 Balazs, Peter
5 Chen, Zhongying
5 Dahlke, Stephan
5 Gantumur, Tsogtgerel
5 Haji-Ali, Abdul-Lateef
5 Multerer, Michael D.
5 Pavarino, Luca Franco
5 Praetorius, Dirk
5 Sangalli, Giancarlo
5 Scheichl, Robert
5 Urban, Karsten
5 Wendland, Wolfgang L.
5 Zech, Jakob
4 Antes, M. Y.
4 Assari, Pouria
4 Bacani, Jerico B.
4 Dardé, Jérémi
4 Dehghan Takht Fooladi, Mehdi
4 Dinh Dũng
4 Feischl, Michael
4 Fuglede, Bent
4 Garoni, Carlo
4 Gittelson, Claude Jeffrey
4 Hofreither, Clemens
4 Jerez-Hanckes, Carlos
4 Karinski, Y. S.
4 Kestler, Sebastian
4 Le Louër, Frédérique
4 Manni, Carla
4 Nochetto, Ricardo Horacio
4 Nuyens, Dirk
4 Paganini, Alberto
4 Peichl, Gunther H.
4 Puig, Bénédicte
4 Rabago, Julius Fergy Tiongson
4 Randrianarivony, Maharavo
4 Ravnik, Jure
4 Schmidt, Stephan
4 Speleers, Hendrik
4 Stephan, Ernst Peter
4 Vainikko, Gennadi
4 Weimar, Markus
4 Welker, Kathrin
4 Yankelevsky, David Z.
4 Zapletal, Jan
4 Zhang, Duo
4 Zhu, Jialin
3 Bachmayr, Markus
3 Beirão da Veiga, Lourenço
3 Buffa, Annalisa
3 Castrillon-Candas, Julio Enrique
3 Caubet, Fabien
3 Cohen, Albert
3 Dahmen, Wolfgang A.
3 Dapogny, Charles
3 Dick, Josef
3 Eigel, Martin
3 Führer, Thomas
3 Gantner, Robert Nicholas
3 Graham, Ivan G.
3 Guo, Ruchi
3 Hassine, Maatoug
3 Herrmann, Lukas
3 Hettlich, Frank
3 Hoang, Viet Ha
3 Hrizi, Mourad
3 Ivanyshyn, Olha
3 Jüttler, Bert
3 Karkulik, Michael
3 Kunoth, Angela
3 Kurz, Stefan
3 Li, Maojun
3 Litvinenko, Alexander
3 Lu, Shuai
...and 593 more Authors
all top 5

Cited in 123 Serials

32 Computer Methods in Applied Mechanics and Engineering
29 Numerische Mathematik
23 Journal of Computational and Applied Mathematics
20 Mathematics of Computation
20 Engineering Analysis with Boundary Elements
19 Journal of Computational Physics
19 SIAM Journal on Scientific Computing
17 SIAM/ASA Journal on Uncertainty Quantification
15 Applied Numerical Mathematics
15 Advances in Computational Mathematics
14 Computers & Mathematics with Applications
14 SIAM Journal on Numerical Analysis
14 Journal of Scientific Computing
12 Foundations of Computational Mathematics
11 Inverse Problems
7 Mathematical Methods in the Applied Sciences
7 Applied Mathematics and Computation
7 Journal of Integral Equations and Applications
7 Computational Optimization and Applications
6 Journal of Mathematical Analysis and Applications
6 Journal of Complexity
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Numerical Functional Analysis and Optimization
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Computing
4 International Journal for Numerical Methods in Engineering
4 SIAM Journal on Control and Optimization
4 Numerical Methods for Partial Differential Equations
4 Potential Analysis
4 Journal of Inverse and Ill-Posed Problems
4 Computational Methods in Applied Mathematics
3 Applicable Analysis
3 Journal of Engineering Mathematics
3 Journal of Approximation Theory
3 Journal of Optimization Theory and Applications
3 Mathematics and Computers in Simulation
3 Constructive Approximation
3 SIAM Journal on Matrix Analysis and Applications
3 Numerical Algorithms
3 Applied Mathematical Modelling
3 SIAM Review
3 Multiscale Modeling & Simulation
3 Inverse Problems in Science and Engineering
3 Inverse Problems and Imaging
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 BIT
2 Mathematische Nachrichten
2 Computer Aided Geometric Design
2 Computational Mechanics
2 International Journal of Computer Mathematics
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 Computing and Visualization in Science
2 Abstract and Applied Analysis
2 Optimization Methods & Software
2 Mathematical Modelling and Analysis
2 Acta Numerica
2 Advances in Applied Mathematics and Mechanics
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 International Journal of Heat and Mass Transfer
1 Journal d’Analyse Mathématique
1 Mathematical Biosciences
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 Applied Mathematics and Optimization
1 Calcolo
1 Integral Equations and Operator Theory
1 Monatshefte für Mathematik
1 Results in Mathematics
1 Applications of Mathematics
1 Journal of Global Optimization
1 Journal of Elasticity
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Computational Statistics and Data Analysis
1 Advances in Engineering Software
1 Applied Mathematics. Series B (English Edition)
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 International Journal of Computer Vision
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Opuscula Mathematica
1 Mathematical Communications
1 Vietnam Journal of Mathematics
1 Taiwanese Journal of Mathematics
1 Wuhan University Journal of Natural Sciences (WUJNS)
...and 23 more Serials
all top 5

Cited in 40 Fields

393 Numerical analysis (65-XX)
202 Partial differential equations (35-XX)
90 Calculus of variations and optimal control; optimization (49-XX)
68 Probability theory and stochastic processes (60-XX)
46 Fluid mechanics (76-XX)
44 Mechanics of deformable solids (74-XX)
41 Approximations and expansions (41-XX)
29 Optics, electromagnetic theory (78-XX)
28 Integral equations (45-XX)
27 Operator theory (47-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
17 Functional analysis (46-XX)
16 Potential theory (31-XX)
15 Statistics (62-XX)
12 Computer science (68-XX)
12 Biology and other natural sciences (92-XX)
10 Operations research, mathematical programming (90-XX)
7 Information and communication theory, circuits (94-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Systems theory; control (93-XX)
4 Real functions (26-XX)
3 Manifolds and cell complexes (57-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Differential geometry (53-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Geophysics (86-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year