## Harbrecht, Helmut

Compute Distance To:
 Author ID: harbrecht.helmut Published as: Harbrecht, Helmut; Harbrecht, H.; Harbrecht, Helumt more...less Homepage: https://cm.dmi.unibas.ch/ External Links: MGP · dblp · GND
 Documents Indexed: 117 Publications since 2001, including 1 Book 1 Contribution as Editor Co-Authors: 71 Co-Authors with 108 Joint Publications 2,014 Co-Co-Authors
all top 5

### Co-Authors

 9 single-authored 18 Schneider, Reinhold 17 Eppler, Karsten 14 Peters, Michael D. 8 Dölz, Jürgen 7 Dambrine, Marc 7 Multerer, Michael D. 6 Griebel, Michael 6 Siebenmorgen, Markus 6 Tausch, Johannes 5 Brugger, Rahel 4 Puig, Bénédicte 4 Schwab, Christoph 4 Wendland, Wolfgang L. 4 Zorii, Natalia 3 Randrianarivony, Maharavo 2 Bürli, Christine 2 Chitnis, Nakul 2 Croce, Roberto 2 Dahlke, Stephan 2 Dahmen, Wolfgang A. 2 Greff, Isabelle 2 Hohage, Thorsten 2 Mitrou, Giannoula 2 Odermatt, Peter 2 Paiva, Freddy 2 Pérez, Cristian 2 Sayasone, Somphou 2 Schmidlin, Marc 2 Stevenson, Rob P. 2 Zaspel, Peter 1 Alm, Daniel 1 Benner, Peter 1 Buffa, Annalisa 1 Bugeanu, Monica 1 Caubet, Fabien 1 Dapogny, Charles 1 Engell, Sebastian 1 Gantumur, Tsogtgerel 1 Gatica, Gabriel N. 1 Gerig, Thomas 1 Griewank, Andreas 1 Haji-Ali, Abdul-Lateef 1 Hinze, Michael 1 Ilić, Nikola 1 Jakeman, John Davis 1 Jerez-Hanckes, Carlos 1 Kähler, Uwe 1 Kalmykov, Ilja 1 Konik, Michael 1 Krämer, Ulf 1 Kunoth, Angela 1 Kurz, Stefan 1 Leugering, Günter 1 Li, Jingzhi 1 Loos, Florian 1 Lüthi, Marcel 1 Mommer, Mario S. 1 Moor, Manuela 1 Pereverzev, Sergei V. 1 Rannacher, Rolf 1 Sangalli, Giancarlo 1 Schlenkrich, Sebastian 1 Schöps, Sebastian 1 Surowiec, Thomas 1 Ulbrich, Stefan 1 Utzinger, M. 1 Vetter, Thomas 1 von Rickenbach, Remo 1 Walther, Andrea 1 Weimar, Markus 1 Wolf, Felix
all top 5

### Serials

 8 Numerische Mathematik 6 Computer Methods in Applied Mechanics and Engineering 6 SIAM Journal on Control and Optimization 6 Applied Numerical Mathematics 5 Mathematical Methods in the Applied Sciences 5 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 4 Journal of Computational Physics 4 Computational Optimization and Applications 4 SIAM Journal on Scientific Computing 3 Computing 3 Mathematische Nachrichten 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 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 Computational Methods in Applied Mathematics 1 Multiscale Modeling & Simulation 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 Journal of Theoretical Biology 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 SIAM/ASA Journal on Uncertainty Quantification
all top 5

### Fields

 98 Numerical analysis (65-XX) 54 Partial differential equations (35-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 23 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 5 Mechanics of deformable solids (74-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Fluid mechanics (76-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

99 Publications have been cited 1,074 times in 569 Documents Cited by Year
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
2006
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
2008
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
2012
Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162
Harbrecht, Helmut; Schneider, Reinhold
2006
An optimal adaptive wavelet method without coarsening of the iterands. Zbl 1115.41023
Gantumur, Tsogtgerel; Harbrecht, Helmut; Stevenson, Rob
2007
Analysis of the domain mapping method for elliptic diffusion problems on random domains. Zbl 1479.35969
Harbrecht, H.; Peters, M.; Siebenmorgen, M.
2016
On convergence in elliptic shape optimization. Zbl 1354.49093
Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold
2007
BPX-preconditioning for isogeometric analysis. Zbl 1286.65151
Buffa, Annalisa; Harbrecht, Helmut; Kunoth, Angela; Sangalli, Giancarlo
2013
A regularized Newton method in electrical impedance tomography using shape Hessian information. Zbl 1167.49327
Eppler, Karsten; Harbrecht, Helmut
2005
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
2008
Efficient approximation of random fields for numerical applications. Zbl 1349.65048
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
2015
Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136
Harbrecht, Helmut; Schneider, Reinhold
2004
Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100
Harbrecht, Helmut; Hohage, Thorsten
2007
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
2007
First order second moment analysis for stochastic interface problems based on low-rank approximation. Zbl 1297.65009
Harbrecht, Helmut; Li, Jingzhi
2013
On the numerical solution of a shape optimization problem for the heat equation. Zbl 1264.65156
Harbrecht, Helmut; Tausch, Johannes
2013
Wavelets with patchwise cancellation properties. Zbl 1112.46012
Harbrecht, Helmut; Stevenson, Rob
2006
Efficient treatment of stationary free boundary problems. Zbl 1104.65111
Eppler, Karsten; Harbrecht, Helmut
2006
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
2016
On the construction of sparse tensor product spaces. Zbl 1267.41012
Griebel, Michael; Harbrecht, Helmut
2013
Tracking Neumann data for stationary free boundary problems. Zbl 1202.49052
Eppler, Karsten; Harbrecht, Helmut
2010
Combination technique based $$k$$-th moment analysis of elliptic problems with random diffusion. Zbl 1349.35441
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
2013
Second-order shape optimization using wavelet BEM. Zbl 1086.49028
Eppler, K.; Harbrecht, H.
2006
Numerical solution of elliptic shape optimization problems using wavelet-based BEM. Zbl 1061.49028
Eppler, K.; Harbrecht, H.
2003
On a Kohn-Vogelius like formulation of free boundary problems. Zbl 1258.49069
Eppler, Karsten; Harbrecht, Helmut
2012
Approximation of bi-variate functions: Singular value decomposition versus sparse grids. Zbl 1287.65009
Griebel, Michael; Harbrecht, Helmut
2014
Fully discrete wavelet Galerkin schemes. Zbl 1035.65138
Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold
2003
Comparison of fast boundary element methods on parametric surfaces. Zbl 1286.65175
Harbrecht, H.; Peters, M.
2013
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
2018
Covariance regularity and $$\mathcal {H}$$-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
2017
Computing quantities of interest for random domains with second order shape sensitivity analysis. Zbl 1351.60062
Dambrine, Marc; Harbrecht, Helmut; Puig, Bénédicte
2015
A finite element method for elliptic problems with stochastic input data. Zbl 1237.65009
Harbrecht, Helmut
2010
Novel results for the anisotropic sparse grid quadrature. Zbl 1458.65021
Haji-Ali, A.-L.; Harbrecht, H.; Peters, M. D.; Siebenmorgen, M.
2018
Shape optimization for free boundary problems - analysis and numerics. Zbl 1356.49073
Eppler, Karsten; Harbrecht, Helmut
2012
Self-regularization by projection for noisy pseudodifferential equations of negative order. Zbl 1074.65130
Harbrecht, Helmut; Pereverzev, Sergei; Schneider, Reinhold
2003
From computer aided design to wavelet BEM. Zbl 1213.65146
Harbrecht, H.; Randrianarivony, M.
2010
An efficient numerical method for a shape-identification problem arising from the heat equation. Zbl 1219.65132
Harbrecht, Helmut; Tausch, Johannes
2011
Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133
Harbrecht, Helmut; Schneider, Reinhold
2001
On output functionals of boundary value problems on stochastic domains. Zbl 1181.35354
Harbrecht, Helmut
2010
Riesz minimal energy problems on $$C^{k-1,1}$$-manifolds. Zbl 1288.31005
Harbrecht, Helmut; Wendland, Wolfgang L.; Zorii, Natalia
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
2017
Shape optimization for quadratic functionals and states with random right-hand sides. Zbl 1326.49070
Dambrine, Marc; Dapogny, Charles; Harbrecht, Helmut
2015
On the convergence of the combination technique. Zbl 1316.65054
Griebel, Michael; Harbrecht, Helmut
2014
Exterior electromagnetic shaping using wavelet BEM. Zbl 1061.49029
Eppler, K.; Harbrecht, H.
2005
Fast wavelet BEM for 3d electromagnetic shaping. Zbl 1114.78017
Eppler, Karsten; Harbrecht, Helmut
2005
Analytical and numerical methods in shape optimization. Zbl 1153.49039
Harbrecht, Helmut
2008
A Newton method for Bernoulli’s free boundary problem in three dimensions. Zbl 1152.49044
Harbrecht, Helmut
2008
Coupling of FEM and BEM in shape optimization. Zbl 1104.65065
Eppler, Karsten; Harbrecht, Helmut
2006
A note on the construction of $$L$$-fold sparse tensor product spaces. Zbl 1283.41015
Griebel, Michael; Harbrecht, Helmut
2013
Improved trial methods for a class of generalized Bernoulli problems. Zbl 1292.35341
Harbrecht, Helmut; Mitrou, Giannoula
2014
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114
Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R.
2002
Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552
Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold
2003
On Riesz minimal energy problems. Zbl 1244.49058
Harbrecht, H.; Wendland, W. L.; Zorii, N.
2012
Sparse tensor finite elements for elliptic multiple scale problems. Zbl 1230.65127
Harbrecht, Helmut; Schwab, Christoph
2011
$$\mathcal H$$-matrix accelerated second moment analysis for potentials with rough correlation. Zbl 1329.65013
Dölz, J.; Harbrecht, H.; Peters, M.
2015
Tracking Dirichlet data in $$L^2$$ is an ill-posed problem. Zbl 1217.49031
Eppler, K.; Harbrecht, H.
2010
Trends in PDE constrained optimization. Zbl 1306.49001
2014
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
2016
On the numerical solution of a time-dependent shape optimization problem for the heat equation. Zbl 1461.49051
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes
2021
A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Zbl 1403.65059
Harbrecht, Helmut; Tausch, Johannes
2018
A new fictitious domain method in shape optimization. Zbl 1152.49043
Eppler, Karsten; Harbrecht, Helmut; Mommer, Mario S.
2008
Wavelet BEM on molecular surfaces: parametrization and implementation. Zbl 1241.65108
Harbrecht, Helmut; Randrianarivony, Maharavo
2009
Uncertainty quantification for PDEs with anisotropic random diffusion. Zbl 1432.35265
Harbrecht, H.; Peters, M. D.; Schmidlin, M.
2017
The second order perturbation approach for elliptic partial differential equations on random domains. Zbl 1379.65003
Harbrecht, Helmut; Peters, Michael D.
2018
Wavelet BEM on molecular surfaces: solvent excluded surfaces. Zbl 1225.92065
Harbrecht, H.; Randrianarivony, M.
2011
Singular value decomposition versus sparse grids: refined complexity estimates. Zbl 07130803
Griebel, Michael; Harbrecht, Helmut
2019
$$\mathcal{H}$$-matrix based second moment analysis for rough random fields and finite element discretizations. Zbl 1368.60070
Dölz, J.; Harbrecht, H.; Peters, M. D.
2017
Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126
Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold
2003
Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data. Zbl 1331.65165
Harbrecht, Helmut; Mitrou, Giannoula
2015
Second moment analysis for Robin boundary value problems on random domains. Zbl 1326.35370
Harbrecht, Helmut
2014
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.
2017
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008
Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus
2018
A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. Zbl 1189.65113
Harbrecht, Helmut; Hohage, Thorsten
2009
Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing. Zbl 1426.46005
Balazs, Peter; Harbrecht, Helmut
2019
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. Zbl 1415.65267
Dölz, Jürgen; Harbrecht, Helmut
2018
Combination technique based second moment analysis for elliptic PDEs on random domains. Zbl 1339.65015
Harbrecht, Helmut; Peters, Michael
2016
Rapid computation of far-field statistics for random obstacle scattering. Zbl 1464.76089
Harbrecht, Helmut; Ilić, Nikola; Multerer, Michael D.
2019
A second order convergent trial method for a free boundary problem in three dimensions. Zbl 1331.65170
Bugeanu, Monica; Harbrecht, Helmut
2015
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.
2020
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
2018
Wavelet-based boundary element methods for exterior electromagnetic shaping. Zbl 1244.78022
Eppler, K.; Harbrecht, H.
2008
Incorporating knowledge on the measurement noise in electrical impedance tomography. Zbl 1437.78003
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte
2019
Solving a free boundary problem with nonconstant coefficients. Zbl 1397.35082
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
2018
On the best approximation of the hierarchical matrix product. Zbl 07011413
Dölz, Jürgen; Harbrecht, Helmut; Multerer, Michael D.
2019
A new method for the data completion problem and application to obstacle detection. Zbl 1423.35438
Caubet, Fabien; Dambrine, Marc; Harbrecht, Helmut
2019
Finite element based second moment analysis for elliptic problems in stochastic domains. Zbl 1216.65008
Harbrecht, H.
2010
The $$\mathcal H^2$$-wavelet method. Zbl 1293.65162
Alm, Daniel; Harbrecht, Helmut; Krämer, Ulf
2014
Compact gradient tracking in shape optimization. Zbl 1181.90286
Eppler, Karsten; Harbrecht, Helmut
2008
On the numerical solution of Plateau’s problem. Zbl 1178.65069
Harbrecht, Helmut
2009
A note on multilevel based error estimation. Zbl 1342.65206
Harbrecht, Helmut; Schneider, Reinhold
2016
Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179
Harbrecht, Helmut; Schneider, Reinhold
2009
Optimization of current carrying multicables. Zbl 1333.49062
Harbrecht, Helmut; Loos, Florian
2016
On shape optimization with parabolic state equation. Zbl 1320.49028
Harbrecht, Helmut; Tausch, Johannes
2014
Shape optimization for composite materials and scaffold structures. Zbl 1446.49035
Dambrine, Marc; Harbrecht, Helmut
2020
Solving a Bernoulli type free boundary problem with random diffusion. Zbl 1453.35199
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
2020
Solution of free boundary problems in the presence of geometric uncertainties. Zbl 1380.49022
Harbrecht, H.; Peters, M. D.
2017
On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. Zbl 1417.65204
Harbrecht, Helmut; Zaspel, Peter
2019
On analytical derivatives for geometry optimization in the polarizable continuum model. Zbl 1304.82073
Harbrecht, Helmut
2011
A fast direct solver for nonlocal operators in wavelet coordinates. Zbl 07511425
Harbrecht, Helmut; Multerer, Michael
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
2021
A fast direct solver for nonlocal operators in wavelet coordinates. Zbl 07511425
Harbrecht, Helmut; Multerer, Michael
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.
2020
Shape optimization for composite materials and scaffold structures. Zbl 1446.49035
Dambrine, Marc; Harbrecht, Helmut
2020
Solving a Bernoulli type free boundary problem with random diffusion. Zbl 1453.35199
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
2020
Singular value decomposition versus sparse grids: refined complexity estimates. Zbl 07130803
Griebel, Michael; Harbrecht, Helmut
2019
Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing. Zbl 1426.46005
Balazs, Peter; Harbrecht, Helmut
2019
Rapid computation of far-field statistics for random obstacle scattering. Zbl 1464.76089
Harbrecht, Helmut; Ilić, Nikola; Multerer, Michael D.
2019
Incorporating knowledge on the measurement noise in electrical impedance tomography. Zbl 1437.78003
Dambrine, Marc; Harbrecht, Helmut; Puig, Benedicte
2019
On the best approximation of the hierarchical matrix product. Zbl 07011413
Dölz, Jürgen; Harbrecht, Helmut; Multerer, Michael D.
2019
A new method for the data completion problem and application to obstacle detection. Zbl 1423.35438
Caubet, Fabien; Dambrine, Marc; Harbrecht, Helmut
2019
On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. Zbl 1417.65204
Harbrecht, Helmut; Zaspel, Peter
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
2018
Novel results for the anisotropic sparse grid quadrature. Zbl 1458.65021
Haji-Ali, A.-L.; Harbrecht, H.; Peters, M. D.; Siebenmorgen, M.
2018
A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Zbl 1403.65059
Harbrecht, Helmut; Tausch, Johannes
2018
The second order perturbation approach for elliptic partial differential equations on random domains. Zbl 1379.65003
Harbrecht, Helmut; Peters, Michael D.
2018
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. Zbl 1388.31008
Dahlke, S.; Harbrecht, H.; Utzinger, M.; Weimar, Markus
2018
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. Zbl 1415.65267
Dölz, Jürgen; Harbrecht, Helmut
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
2018
Solving a free boundary problem with nonconstant coefficients. Zbl 1397.35082
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut
2018
Covariance regularity and $$\mathcal {H}$$-matrix approximation for rough random fields. Zbl 1362.65124
Dölz, J.; Harbrecht, H.; Schwab, Ch.
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
2017
Uncertainty quantification for PDEs with anisotropic random diffusion. Zbl 1432.35265
Harbrecht, H.; Peters, M. D.; Schmidlin, M.
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.
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.
2017
Solution of free boundary problems in the presence of geometric uncertainties. Zbl 1380.49022
Harbrecht, H.; Peters, M. D.
2017
Analysis of the domain mapping method for elliptic diffusion problems on random domains. Zbl 1479.35969
Harbrecht, H.; Peters, M.; Siebenmorgen, M.
2016
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
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
2016
Combination technique based second moment analysis for elliptic PDEs on random domains. Zbl 1339.65015
Harbrecht, Helmut; Peters, Michael
2016
A note on multilevel based error estimation. Zbl 1342.65206
Harbrecht, Helmut; Schneider, Reinhold
2016
Optimization of current carrying multicables. Zbl 1333.49062
Harbrecht, Helmut; Loos, Florian
2016
Efficient approximation of random fields for numerical applications. Zbl 1349.65048
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
2015
Computing quantities of interest for random domains with second order shape sensitivity analysis. Zbl 1351.60062
Dambrine, Marc; Harbrecht, Helmut; Puig, Bénédicte
2015
Shape optimization for quadratic functionals and states with random right-hand sides. Zbl 1326.49070
Dambrine, Marc; Dapogny, Charles; Harbrecht, Helmut
2015
$$\mathcal H$$-matrix accelerated second moment analysis for potentials with rough correlation. Zbl 1329.65013
Dölz, J.; Harbrecht, H.; Peters, M.
2015
Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data. Zbl 1331.65165
Harbrecht, Helmut; Mitrou, Giannoula
2015
A second order convergent trial method for a free boundary problem in three dimensions. Zbl 1331.65170
Bugeanu, Monica; Harbrecht, Helmut
2015
Approximation of bi-variate functions: Singular value decomposition versus sparse grids. Zbl 1287.65009
Griebel, Michael; Harbrecht, Helmut
2014
Riesz minimal energy problems on $$C^{k-1,1}$$-manifolds. Zbl 1288.31005
Harbrecht, Helmut; Wendland, Wolfgang L.; Zorii, Natalia
2014
On the convergence of the combination technique. Zbl 1316.65054
Griebel, Michael; Harbrecht, Helmut
2014
Improved trial methods for a class of generalized Bernoulli problems. Zbl 1292.35341
Harbrecht, Helmut; Mitrou, Giannoula
2014
Trends in PDE constrained optimization. Zbl 1306.49001
2014
Second moment analysis for Robin boundary value problems on random domains. Zbl 1326.35370
Harbrecht, Helmut
2014
The $$\mathcal H^2$$-wavelet method. Zbl 1293.65162
Alm, Daniel; Harbrecht, Helmut; Krämer, Ulf
2014
On shape optimization with parabolic state equation. Zbl 1320.49028
Harbrecht, Helmut; Tausch, Johannes
2014
BPX-preconditioning for isogeometric analysis. Zbl 1286.65151
Buffa, Annalisa; Harbrecht, Helmut; Kunoth, Angela; Sangalli, Giancarlo
2013
First order second moment analysis for stochastic interface problems based on low-rank approximation. Zbl 1297.65009
Harbrecht, Helmut; Li, Jingzhi
2013
On the numerical solution of a shape optimization problem for the heat equation. Zbl 1264.65156
Harbrecht, Helmut; Tausch, Johannes
2013
On the construction of sparse tensor product spaces. Zbl 1267.41012
Griebel, Michael; Harbrecht, Helmut
2013
Combination technique based $$k$$-th moment analysis of elliptic problems with random diffusion. Zbl 1349.35441
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
2013
Comparison of fast boundary element methods on parametric surfaces. Zbl 1286.65175
Harbrecht, H.; Peters, M.
2013
A note on the construction of $$L$$-fold sparse tensor product spaces. Zbl 1283.41015
Griebel, Michael; Harbrecht, Helmut
2013
On the low-rank approximation by the pivoted Cholesky decomposition. Zbl 1244.65042
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold
2012
On a Kohn-Vogelius like formulation of free boundary problems. Zbl 1258.49069
Eppler, Karsten; Harbrecht, Helmut
2012
Shape optimization for free boundary problems - analysis and numerics. Zbl 1356.49073
Eppler, Karsten; Harbrecht, Helmut
2012
On Riesz minimal energy problems. Zbl 1244.49058
Harbrecht, H.; Wendland, W. L.; Zorii, N.
2012
An efficient numerical method for a shape-identification problem arising from the heat equation. Zbl 1219.65132
Harbrecht, Helmut; Tausch, Johannes
2011
Sparse tensor finite elements for elliptic multiple scale problems. Zbl 1230.65127
Harbrecht, Helmut; Schwab, Christoph
2011
Wavelet BEM on molecular surfaces: solvent excluded surfaces. Zbl 1225.92065
Harbrecht, H.; Randrianarivony, M.
2011
On analytical derivatives for geometry optimization in the polarizable continuum model. Zbl 1304.82073
Harbrecht, Helmut
2011
Tracking Neumann data for stationary free boundary problems. Zbl 1202.49052
Eppler, Karsten; Harbrecht, Helmut
2010
A finite element method for elliptic problems with stochastic input data. Zbl 1237.65009
Harbrecht, Helmut
2010
From computer aided design to wavelet BEM. Zbl 1213.65146
Harbrecht, H.; Randrianarivony, M.
2010
On output functionals of boundary value problems on stochastic domains. Zbl 1181.35354
Harbrecht, Helmut
2010
Tracking Dirichlet data in $$L^2$$ is an ill-posed problem. Zbl 1217.49031
Eppler, K.; Harbrecht, H.
2010
Finite element based second moment analysis for elliptic problems in stochastic domains. Zbl 1216.65008
Harbrecht, H.
2010
Wavelet BEM on molecular surfaces: parametrization and implementation. Zbl 1241.65108
Harbrecht, Helmut; Randrianarivony, Maharavo
2009
A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. Zbl 1189.65113
Harbrecht, Helmut; Hohage, Thorsten
2009
On the numerical solution of Plateau’s problem. Zbl 1178.65069
Harbrecht, Helmut
2009
Rapid solution of boundary integral equations by wavelet Galerkin schemes. Zbl 1190.65179
Harbrecht, Helmut; Schneider, Reinhold
2009
Sparse second moment analysis for elliptic problems in stochastic domains. Zbl 1146.65007
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
2008
Multilevel frames for sparse tensor product spaces. Zbl 1151.65010
Harbrecht, Helmut; Schneider, Reinhold; Schwab, Christoph
2008
Analytical and numerical methods in shape optimization. Zbl 1153.49039
Harbrecht, Helmut
2008
A Newton method for Bernoulli’s free boundary problem in three dimensions. Zbl 1152.49044
Harbrecht, Helmut
2008
A new fictitious domain method in shape optimization. Zbl 1152.49043
Eppler, Karsten; Harbrecht, Helmut; Mommer, Mario S.
2008
Wavelet-based boundary element methods for exterior electromagnetic shaping. Zbl 1244.78022
Eppler, K.; Harbrecht, H.
2008
Compact gradient tracking in shape optimization. Zbl 1181.90286
Eppler, Karsten; Harbrecht, Helmut
2008
An optimal adaptive wavelet method without coarsening of the iterands. Zbl 1115.41023
Gantumur, Tsogtgerel; Harbrecht, Helmut; Stevenson, Rob
2007
On convergence in elliptic shape optimization. Zbl 1354.49093
Eppler, Karsten; Harbrecht, Helmut; Schneider, Reinhold
2007
Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100
Harbrecht, Helmut; Hohage, Thorsten
2007
Adaptive methods for boundary integral equations: complexity and convergence estimates. Zbl 1129.65090
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
2007
Compression techniques for boundary integral equations. Asymptotically optimal complexity estimates. Zbl 1113.65114
Dahmen, Wolfgang; Harbrecht, Helmut; Schneider, Reinhold
2006
Wavelet Galerkin schemes for boundary integral equations – implementation and quadrature. Zbl 1117.65162
Harbrecht, Helmut; Schneider, Reinhold
2006
Wavelets with patchwise cancellation properties. Zbl 1112.46012
Harbrecht, Helmut; Stevenson, Rob
2006
Efficient treatment of stationary free boundary problems. Zbl 1104.65111
Eppler, Karsten; Harbrecht, Helmut
2006
Second-order shape optimization using wavelet BEM. Zbl 1086.49028
Eppler, K.; Harbrecht, H.
2006
Coupling of FEM and BEM in shape optimization. Zbl 1104.65065
Eppler, Karsten; Harbrecht, Helmut
2006
A regularized Newton method in electrical impedance tomography using shape Hessian information. Zbl 1167.49327
Eppler, Karsten; Harbrecht, Helmut
2005
Exterior electromagnetic shaping using wavelet BEM. Zbl 1061.49029
Eppler, K.; Harbrecht, H.
2005
Fast wavelet BEM for 3d electromagnetic shaping. Zbl 1114.78017
Eppler, Karsten; Harbrecht, Helmut
2005
Biorthogonal wavelet bases for the boundary element method. Zbl 1055.65136
Harbrecht, Helmut; Schneider, Reinhold
2004
Numerical solution of elliptic shape optimization problems using wavelet-based BEM. Zbl 1061.49028
Eppler, K.; Harbrecht, H.
2003
Fully discrete wavelet Galerkin schemes. Zbl 1035.65138
Harbrecht, Helmut; Konik, Michael; Schneider, Reinhold
2003
Self-regularization by projection for noisy pseudodifferential equations of negative order. Zbl 1074.65130
Harbrecht, Helmut; Pereverzev, Sergei; Schneider, Reinhold
2003
Multiscale preconditioning for the coupling of FEM-BEM. Zbl 1071.65552
Harbrecht, Helmut; Paiva, Freddy; Pérez, Cristian; Schneider, Reinhold
2003
Least squares methods for the coupling of FEM and BEM. Zbl 1055.65126
Gatica, Gabriel N.; Harbrecht, Helmut; Schneider, Reinhold
2003
Biorthogonal wavelet approximation for the coupling of FEM-BEM. Zbl 1012.65114
Harbrecht, H.; Paiva, F.; Pérez, C.; Schneider, R.
2002
Wavelet Galerkin schemes for 2D-BEM. Zbl 1005.65133
Harbrecht, Helmut; Schneider, Reinhold
2001
all top 5

### Cited by 773 Authors

 81 Harbrecht, Helmut 36 Schwab, Christoph 19 Stevenson, Rob P. 15 Peters, Michael D. 14 Griebel, Michael 12 Eppler, Karsten 12 Zorii, Natalia 11 Dölz, Jürgen 11 Schneider, Reinhold 10 Nobile, Fabio 10 Tausch, Johannes 10 Xiao, Jinyou 8 Dambrine, Marc 8 Kress, Rainer 8 Tempone, Raúl F. 7 Kuo, Frances Y. 7 Multerer, Michael D. 7 Praetorius, Dirk 7 Schulz, Volker H. 6 Chernov, Alexey 6 Cho, Durkbin 6 Dahlke, Stephan 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 Gantumur, Tsogtgerel 5 Haji-Ali, Abdul-Lateef 5 Jerez-Hanckes, Carlos 5 Pavarino, Luca Franco 5 Sangalli, Giancarlo 5 Scheichl, Robert 5 Urban, Karsten 5 Wendland, Wolfgang L. 5 Zapletal, Jan 5 Zech, Jakob 4 Antes, M. Y. 4 Assari, Pouria 4 Bacani, Jerico B. 4 Ballarin, Francesco 4 Brugger, Rahel 4 Castrillon-Candas, Julio Enrique 4 Dardé, Jérémi 4 Dehghan Takht Fooladi, Mehdi 4 Dinh Dũng 4 Eigel, Martin 4 Feischl, Michael 4 Fuglede, Bent 4 Führer, Thomas 4 Gantner, Gregor 4 Garoni, Carlo 4 Gittelson, Claude Jeffrey 4 Hettlich, Frank 4 Hofreither, Clemens 4 Hrizi, Mourad 4 Karinski, Y. S. 4 Kestler, Sebastian 4 Le Louër, Frédérique 4 Manni, Carla 4 Melenk, Jens Markus 4 Merta, Michal 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 Rozza, Gianluigi 4 Schmidt, Stephan 4 Speleers, Hendrik 4 Stephan, Ernst Peter 4 Strazzullo, Maria 4 Vainikko, Gennadi 4 Weimar, Markus 4 Welker, Kathrin 4 Yankelevsky, David Z. 4 Zhang, Duo 4 Zhu, Jialin 3 Bachmayr, Markus 3 Beirão da Veiga, Lourenço 3 Buffa, Annalisa 3 Caubet, Fabien 3 Cohen, Albert 3 Dahmen, Wolfgang A. 3 Dapogny, Charles 3 Dick, Josef 3 Gantner, Robert Nicholas 3 Graham, Ivan G. 3 Guo, Ruchi 3 Hao, Yongle 3 Hardin, Douglas P. 3 Hassine, Maatoug 3 Herrmann, Lukas ...and 673 more Authors
all top 5

### Cited in 133 Serials

 36 Computer Methods in Applied Mechanics and Engineering 31 Numerische Mathematik 25 Journal of Computational and Applied Mathematics 23 SIAM Journal on Scientific Computing 21 Journal of Computational Physics 21 Mathematics of Computation 21 Engineering Analysis with Boundary Elements 19 SIAM/ASA Journal on Uncertainty Quantification 17 Computers & Mathematics with Applications 17 Advances in Computational Mathematics 16 Journal of Scientific Computing 15 Applied Numerical Mathematics 14 SIAM Journal on Numerical Analysis 12 Inverse Problems 12 Foundations of Computational Mathematics 8 Applied Mathematics and Computation 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Mathematical Methods in the Applied Sciences 7 Journal of Integral Equations and Applications 7 Computational Optimization and Applications 6 Journal of Mathematical Analysis and Applications 6 SIAM Journal on Control and Optimization 6 Journal of Complexity 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Numerical Functional Analysis and Optimization 5 Computational Methods in Applied Mathematics 4 Computing 4 International Journal for Numerical Methods in Engineering 4 Computational Mechanics 4 Numerical Methods for Partial Differential Equations 4 SIAM Journal on Matrix Analysis and Applications 4 Potential Analysis 4 Journal of Inverse and Ill-Posed Problems 4 Multiscale Modeling & Simulation 4 Inverse Problems and Imaging 3 Applicable Analysis 3 Journal of Engineering Mathematics 3 BIT 3 Journal of Approximation Theory 3 Journal of Optimization Theory and Applications 3 Mathematics and Computers in Simulation 3 Constructive Approximation 3 Numerical Algorithms 3 Applied Mathematical Modelling 3 SIAM Review 3 Inverse Problems in Science and Engineering 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Integral Equations and Operator Theory 2 Mathematische Nachrichten 2 Computer Aided Geometric Design 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 Optimization and Engineering 2 Mathematical Modelling and Analysis 2 Acta Numerica 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 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 Applied Mathematics and Optimization 1 Calcolo 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 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 ...and 33 more Serials
all top 5

### Cited in 40 Fields

 437 Numerical analysis (65-XX) 228 Partial differential equations (35-XX) 105 Calculus of variations and optimal control; optimization (49-XX) 75 Probability theory and stochastic processes (60-XX) 52 Fluid mechanics (76-XX) 46 Mechanics of deformable solids (74-XX) 41 Approximations and expansions (41-XX) 34 Optics, electromagnetic theory (78-XX) 29 Integral equations (45-XX) 29 Operator theory (47-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 22 Statistics (62-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 19 Potential theory (31-XX) 18 Functional analysis (46-XX) 17 Computer science (68-XX) 12 Biology and other natural sciences (92-XX) 11 Operations research, mathematical programming (90-XX) 9 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Real functions (26-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-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) 1 General and overarching topics; collections (00-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) 1 Geophysics (86-XX)