# Items where contributor is "Harbrecht, Helmut"

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## 2021

Harbrecht, Helmut and Jakeman, John D. and Zaspel, Peter. (2021) Cholesky-based experimental design for Gaussian process and kernel-based emulation and calibration. Communications in Computational Physics, 29 (4). pp. 1152-1185.

Brügger, Rahel and Harbrecht, Helmut and Tausch, Johannes. (2021) On the numerical solution of a time-dependent shape optimization problem for the heat equation. SIAM Journal on Control and Optimization (SICON), 59 (2). pp. 931-953.

## 2020

Brügger, Rahel and Harbrecht, Helmut and Tausch, Johannes. (2020) Boundary integral operators for the heat equation in time-dependent domains. Preprints Fachbereich Mathematik, 2020 (02).

Dölz, Jürgen and Harbrecht, Helmut and Jerez-Hanckes, Carlos and Multerer, Michael. (2020) Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. Preprints Fachbereich Mathematik, 2020 (03).

Harbrecht, Helmut and Multerer, Michael. (2020) A fast direct solver for nonlocal operators in wavelet coordinates. Preprints Fachbereich Mathematik, 2020 (04).

Harbrecht, H. and Jakeman, J.D. and Zaspel, P.. (2020) Cholesky-based experimental design for Gaussian process and kernel-based emulation and calibration. Preprints Fachbereich Mathematik, 2020 (05).

Harbrecht, Helmut and Schmidlin, Marc. (2020) Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion. Stochastics and Partial Differential Equations, 8 (1). pp. 54-81.

Griebel, Michael and Harbrecht, Helmut and Multerer, Michael D.. (2020) Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains. SIAM Journal on Numerical Analysis, 58 (1). pp. 684-705.

Dambrine, Marc and Harbrecht, Helmut. (2020) Shape optimization for composite materials and scaffolds. Multiscale Modeling and Simulation, 18 (2). pp. 1136-1152.

Dölz, Jürgen and Harbrecht, Helmut and Kurz, Stefan and Multerer, Michael D. and Schöps, Sebastian and Wolf, Felix. (2020) Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation. SoftwareX, 11. p. 100476.

Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2020) Solving a Bernoulli type free boundary problem with random diffusion. ESAIM. Control, optimisation and calculus of variations, 26 (56).

## 2019

Harbrecht, Helmut and Tröndle, Dennis and Zimmermann, Markus. (2019) Approximating solution spaces as a product of polygons. Preprints Fachbereich Mathematik, 2019 (13).

Bürli, Christine and Harbrecht, Helmut and Odermatt, Peter and Sayasone, Somphou and Chitnis, Nakul. (2019) Age dependency in the transmission dynamics of the liver fluke, Opisthorchis viverrini and the effectiveness of interventions. Preprints Fachbereich Mathematik, 2019 (11).

Alassi, Sepideh and Schweizer, Tobias and Hawkins, Michael and Iliffe, Robert and Rosenthaler, Lukas and Mattmüller, Martin and Harbrecht, Helmut. (2019) Newton virtually meets Euler and Bernoulli. In: DH2019.

Dölz, Jürgen and Harbrecht, Helmut and Kurz, Stefan and Multerer, Michael D. and Schöps, Sebastian and Wolf, Felix. (2019) Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation. Preprints Fachbereich Mathematik, 2019 (10).

Harbrecht, Helmut and Kalmykov, Ilja. (2019) Sparse grid approximation of the Riccati operator for closed loop parabolic control problems with Dirichlet boundary control. Preprints Fachbereich Mathematik, 2019 (09).

Bugeanu, Monica and Harbrecht, Helmut. (2019) Parametric representation of molecular surfaces. International journal of quantum chemistry, 119. e25695.

Harbrecht, Helmut and Ilić, Nikola and Multerer, Michael D.. (2019) Rapid computation of far-field statistics for random obstacle scattering. Engineering analysis with boundary elements, 101. pp. 243-251.

Dölz, Jürgen and Gerig, Thomas and Lüthi, Marcel and Harbrecht, Helmut and Vetter, Thomas. (2019) Error-Controlled Model Approximation for Gaussian Process Morphable Models. Journal of Mathematical Imaging and Vision, 61 (4). pp. 443-457.

Harbrecht, Helmut and Dölz, Jürgen and Multerer, Michael D.. (2019) On the Best Approximation of the Hierarchical Matrix Product. SIAM journal on matrix analysis and applications, 40 (1). pp. 147-174.

Caubet, Fabien and Dambrine, Marc and Harbrecht, Helmut. (2019) A new method for the data completion problem and application to obstacle detection. SIAM journal on applied mathematics, 79 (1). pp. 415-435.

Harbrecht, Helmut and Zaspel, Peter. (2019) On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. Journal of scientific computing, 78 (2). pp. 1272-1290.

Zaspel, Peter and Huang, Bing and Harbrecht, Helmut and von Lilienfeld, Anatole O.. (2019) Boosting quantum machine learning models with multi-level combination technique: Pople diagrams revisited. Journal of chemical theory and computation, 15 (3). pp. 1546-1559.

Balazs, Peter and Harbrecht, Helmut. (2019) Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing. Numerical Functional Analysis and Optimization, 40 (1). pp. 65-84.

Harbrecht, Helmut and Moor, Manuela. (2019) Wavelet boundary element methods - Adaptivity and goal-oriented error estimation. In: Advanced Finite Element Methods with Applications. Switzerland, pp. 143-164.

Harbrecht, Helmut and Tröndle, Dennis and Zimmermann, Markus. (2019) A sampling-based optimization algorithm for solution spaces with pair-wise-coupled design variables. Structural and multidisciplinary optimization, 60 (2). pp. 501-512.

Eppler, Karsten and Harbrecht, Helmut and Schlenkrich, Sebastian and Walther, Andrea. (2019) Computation of Shape Derivatives in Electromagnetic Shaping by Algorithmic Differentiation. Journal of Mathematical Study, 52 (3). pp. 227-243.

Griebel, Michael and Harbrecht, Helmut. (2019) Singular value decomposition versus sparse grids: Refined complexity estimates. IMA journal of numerical analysis, 39 (4). pp. 1652-1671.

Dambrine, Marc and Harbrecht, Helmut and Puig, Benedicte. (2019) Incorporating knowledge on the measurement noise in electrical impedance tomography. ESAIM: Control, Optimisation and Calculus of Variations, 25. p. 84.

Harbrecht, Helmut. (2019) About a fast isogeometric boundary element method. Oberwolfach Reports, 16 (33). pp. 1997-2000.

## 2018

Harbrecht, Helmut and Ilić, Nikola and Multerer, Michael D.. (2018) Acoustic scattering in case of random obstacles. Preprints Fachbereich Mathematik, 2018 (12).

Harbrecht, Helmut and Zaspel, Peter. (2018) A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters. Preprints Fachbereich Mathematik, 2018 (11).

Dölz, Jürgen and Harbrecht, Helmut and Multerer, Michael D.. (2018) On the best approximation of the hierarchical matrix product. Preprints Fachbereich Mathematik, 2018 (10).

Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2018) Solving a Bernoulli type free boundary problem with random diffusion. Preprints Fachbereich Mathematik, 2018 (09).

Balazc, Peter and Harbrecht, Helmut. (2018) Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing. Preprints Fachbereich Mathematik, 2018 (08).

Harbrecht, Helmut and Moor, Manuela. (2018) Wavelet boundary element methods – Adaptivity and goal-oriented error estimation. Preprints Fachbereich Mathematik, 2018 (07).

Harbrecht, Helmut and Utzinger, Manuela. (2018) On adaptive wavelet boundary element methods. Journal of Computational Mathematics, 36 (1). pp. 90-109.

Dölz, Jürgen and Harbrecht, Helmut and Kurz, Stefan and Schöps, Sebastian and Wolf, Felix. (2018) A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems. Computer Methods in Applied Mechanics and Engineering, 330. pp. 83-101.

Harbrecht, Helmut and Peters, Michael D.. (2018) The second order perturbation approach for elliptic partial differential equations on random domains. Applied Numerical Mathematics, 125. pp. 159-171.

Bürli, Christine and Harbrecht, Helmut and Odermatt, Peter and Sayasone, Somphou and Chitnis, Nakul. (2018) Mathematical analysis of the transmission dynamics of the liver fluke, Opisthorchis viverrini. Journal of Theoretical Biology, 439. pp. 181-194.

Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2018) Minimal energy problems for strongly singular Riesz kernels. Mathematical News / Mathematische Nachrichten, 291 (1). pp. 55-85.

Dahlke, Stephan and Harbrecht, Helmut and Utzinger, Manuela and Weimar, Markus. (2018) Adaptive Wavelet BEM for boundary integral equations. Theory and numerical experiments. Numerical Functional Analysis and Optimization, 39 (2). pp. 208-232.

Haji-Ali, Abdul-Lateef and Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2018) Novel results for the anisotropic sparse grid quadrature. Journal of complexity, 47. pp. 62-85.

Dölz, Jürgen and Harbrecht, Helmut. (2018) Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. Journal of Computational Physics, 371. pp. 506-527.

Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2018) Solving a free boundary problem with non-constant coefficients. Mathematical Methods in the Applied Sciences , 41 (10). pp. 3653-3671.

Harbrecht, Helmut and Tausch, Johannes. (2018) A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Numerische Mathematik, 140 (1). pp. 239-264.

Bürli, Christine and Harbrecht, Helmut and Odermatt, Peter and Sayasone, Somphou and Chitnis, Nakul. (2018) Analysis of interventions against the liver fluke, Opisthorchis viverrini. Mathematical biosciences : an international journal, 303. pp. 115-125.

Vogt, Marc Eric and Duddeck, Fabian and Harbrecht, Helmut and Stutz, Florian and Wahle, Martin and Zimmermann, Markus. (2018) Computing solution-compensation spaces using an enhanced Fourier-Motzkin algorithm. Proceedings in applied mathematics and mechanics, 18 (1). e201800103.

Harbrecht, Helmut and Schmidlin, Marc. (2018) Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. Preprints Fachbereich Mathematik, 2018 (03).

Harbrecht, Helmut and Zaspel, Peter Eberhard. (2018) On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. Preprints Fachbereich Mathematik, 2018 (01).

Bugeanu, Monica and Harbrecht, Helmut. (2018) Parametric representation of molecular surfaces. Preprints Fachbereich Mathematik, 2018 (04).

Harbrecht, Helmut. (2018) Shape optimization under uncertainty. Oberwolfach Reports, 15 (3). pp. 2350-2352.

## 2017

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2017) On the quasi-Monte Carlo quadrature with Halton points for elliptic PDEs with log-normal diffusion. Mathematics of Computation, 86. pp. 771-797.

Dambrine, Marc and Greff, Isabelle and Harbrecht, Helmut and Puig, Benedicte. (2017) Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness. Journal of Computational Physics, 330. pp. 943-959.

Dölz, Jürgen and Harbrecht, Helmut and Schwab, Christoph. (2017) Covariance regularity and H-matrix approximation for rough random fields. Numerische Mathematik, 135 (4). pp. 1045-1071.

Harbrecht, Helmut and Peters, Michael and Schmidlin, Marc. (2017) Uncertainty quantification for PDEs with anisotropic random diffusion. SIAM Journal on Numerical Analysis, 55 (2). pp. 1002-1023.

Dölz, Jürgen and Harbrecht, Helmut and Peters, Michael. (2017) H-matrix based second moment analysis for rough random fields and finite element discretizations. SIAM Journal on Scientific Computing, 39 (4). B618-B639.

Harbrecht, Helmut and Peters, Michael. (2017) Solution of free boundary problems in the presence of geometric uncertainties. In: Topological Optimization and Optimal Transport In the Applied Sciences. Berlin-Bosten, pp. 20-39.

Dambrine, Marc and Harbrecht, Helmut and Peters, Michael and Puig, Benedicte. (2017) On Bernoulli’s free boundary problem with a random boundary. International Journal for Uncertainty Quantification, 7 (4). pp. 335-353.

Harbrecht, Helmut. (2017) On shape optimization with parabolic state equation. Oberwolfach Reports, 2017 (4). pp. 184-185.

Harbrecht, Helmut. (2017) Novel results for the anisotropic sparse grid quadrature. Oberwolfach Reports, 2017 (17). pp. 1023-1026.

Dölz, Jürgen and Harbrecht, Helmut and Kurz, Stefan and Schöps, Sebastian and Wolf, Felix. (2017) A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems. Preprints Fachbereich Mathematik, 2017 (11).

Caubet, Fabien and Dambrine, Marc and Harbrecht, Helmut. (2017) A Newton method for the data completion problem and application to obstacle detection in Electrical Impedance Tomography. Preprints Fachbereich Mathematik, 2017 (18).

Bürli, Christine and Chitnis, Nakul and Harbrecht, Helmut and Odermatt, Peter and Sayasone, Somphou. (2017) Analysis of Interventions against the Liver Fluke, Opisthorchis viverrini. Preprints Fachbereich Mathematik, 2017 (15).

Dölz, Jürgen and Gerig, Thomas and Harbrecht , Helmut and Lüthi, Marcel and Vetter, Thomas. (2017) Efficient computation of low-rank Gaussian process models for surface and image registration. Preprints Fachbereich Mathematik, 2017 (01).

Dölz, Jürgen and Harbrecht, Helmut. (2017) Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. Preprints Fachbereich Mathematik, 2017 (05).

Dambrine, Marc and Harbrecht, Helmut and Puig, Benedicte. (2017) Incorporating knowledge on the measurement noise in electrical impedance tomography. Preprints Fachbereich Mathematik, 2017 (14).

Harbrecht, Helmut and Schmidlin, Marc. (2017) Multilevel Methods for Uncertainty Quantification of Elliptic PDEs with Random Anisotropic Diffusion. Preprints Fachbereich Mathematik, 2017 (07).

Griebel, Michael and Harbrecht, Helmut. (2017) Singular value decomposition versus sparse grids. Refined complexity estimates. Preprints Fachbereich Mathematik, 2017 (08).

Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2017) Solving a free boundary problem with non-constant coefficients. Preprints Fachbereich Mathematik, 2017 (13).

## 2016

Harbrecht, Helmut and Loos, Florian. (2016) Optimization of current carrying multicables. Computational optimization and applications, 63 (1). pp. 237-271.

Harbrecht, Helmut and Peters, Michael. (2016) Combination technique based second moment analysis for elliptic PDEs on random domains. In: Sparse grids and applications - Stuttgart 2014. Switzerland, pp. 51-77.

Dambrine, Marc and Greff, Isabelle and Harbrecht, Helmut and Puig, Benedicte. (2016) Numerical solution of the Poisson equation on domains with a thin layer of random thickness. SIAM journal on numerical analysis, 54 (2). pp. 921-941.

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2016) Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient. SIAM/ASA Journal on Uncertainty Quantification, 4 (1). pp. 520-551.

Harbrecht, Helmut and Schneider, Reinhold. (2016) A Note on Multilevel Based Error Estimation. Computational Methods in Applied Mathematics, 16 (3). pp. 447-458.

Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2016) Rapid Solution of Minimal Riesz Energy Problems. Numerical Methods for Partial Differential Equations, 32 (6). pp. 1535-1552.

Graff, Lavinia and Harbrecht, Helmut and Zimmermann, Markus. (2016) On the computation of solution spaces in high dimensions. Structural and Multidisciplinary Optimization, 54 (4). pp. 811-829.

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2016) Analysis of the domain mapping method for elliptic diffusion problems on random domains. Numerische Mathematik, 134 (4). pp. 823-856.

Dölz, Jürgen and Harbrecht, Helmut and Peters, Michael. (2016) An interpolation-based fast multipole method for higher order boundary elements on parametric surfaces. International Journal for Numerical Methods in Engineering, 108 (13). pp. 1705-1728.

Harbrecht, Helmut. (2016) On fast boundary element methods for parametric surfaces. Oberwolfach Reports, 13 (1). pp. 355-356.

Harbrecht, Helmut and Tausch, Johannes. (2016) A fast sparse grid based space-time boundary element method for the nonstationary heat equation. Preprints Fachbereich Mathematik, 2016 (32).

Harbrecht, Helmut and Schneider, Reinhold. (2016) A note on multilevel based error estimation. Preprints Fachbereich Mathematik, 2016 (03).

Dahlke, Stephan and Harbrecht, Helmut and Utzinger, Manuela and Weimar, Markus. (2016) Adaptive Wavelet BEM for boundary integral equations. Theory and numerical experiments. Preprints Fachbereich Mathematik, 2016 (20).

Bürli, Christine and Harbrecht, Helmut and Odermatt, Peter and Sayasone, Somphou and Chitnis, Nakul. (2016) Mathematical Analysis of the Transmission Dynamics of the Liver Fluke, Opisthorchis viverrini. Preprints Fachbereich Mathematik, 2016 (34).

Dambrine, Marc and Greff, Isabelle and Harbrecht, Helmut and Puig, Benedicte. (2016) Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness. Preprints Fachbereich Mathematik, 2016 (06).

Dambrine, Marc and Harbrecht, Helmut and Peters, Michael and Puig, Benedicte. (2016) On Bernoulli's free boundary problem with a random boundary. Preprints Fachbereich Mathematik, 2016 (31).

Harbrecht, Helmut and Peters, Michael and Schmidlin, Marc. (2016) Uncertainty quantification for PDEs with anisotropic random diffusion. Preprints Fachbereich Mathematik, 2016 (14).

## 2015

Harbrecht, Helmut and Mitrou, Giannoula. (2015) Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data. Mathematical methods in the applied sciences, Vol. 38, H. 13. pp. 2850-2863.

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2015) Efficient approximation of random fields for numerical applications. Numerical linear algebra with applications, Vol. 22, H. 4. pp. 596-617.

Dambrine, Marc and Harbrecht, Helmut and Puig, Benedicte. (2015) Computing quantities of interest for random domains with second order shape sensitivity analysis. Mathematical modelling and numerical analysis, Vol. 49, H. 5. pp. 1285-1302.

Dölz, Jürgen and Harbrecht, Helmut and Peters, Michael. (2015) H-matrix accelerated second moment analysis for potentials with rough correlation. Journal of scientific computing, Vol. 65, H. 1. pp. 387-410.

Dambrine, Marc and Dapogny, Charles and Harbrecht, Helmut. (2015) Shape optimization for quadratic functionals and states with random right-hand sides. SIAM journal on control and optimization, Vol. 53, H. 5. pp. 3081-3103.

Bugeanu, Monica and Harbrecht, Helmut. (2015) A second order convergent trial method for a free boundary problem in three dimensions. Interfaces and free boundaries, 17 (4). pp. 517-537.

Bugeanu, Monica and Di Remigio, Roberto and Mozgawa, Krzysztof and Reine, Simen Sommerfelt and Harbrecht, Helmut and Frediani, Luca. (2015) Wavelet formulation of the polarizable continuum model. II. Use of piecewise bilinear boundary elements. Physical Chemistry, Chemical Physics, 17 (47). pp. 31566-31581.

Harbrecht, Helmut. (2015) Sparse BEM for the heat equation. Oberwolfach Reports, 2015 (2). pp. 124-126.

Dölz, Jürgen and Harbrecht, Helmut and Peters, Michael. (2015) An interpolation-based fast multipole method for higher order boundary elements on parametric surfaces. Preprints Fachbereich Mathematik, 2015 (20).

Dölz, Jürgen and Harbrecht, Helmut and Peters, Michael. (2015) H-matrix based second moment analysis for rough random fields and finite element discretizations. Preprints Fachbereich Mathematik, 2015 (35).

Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2015) Minimal energy problems for strongly singular Riesz kernels. Preprints Fachbereich Mathematik, 2015 (41).

Griebel, Michael and Harbrecht, Helmut and Peters, Michael. (2015) Multilevel quadrature for elliptic parametric partial differential equations on non-nested meshes. Preprints Fachbereich Mathematik, 2015 (29).

Haji-Ali, Abdul-Lateev and Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2015) Novel results for the anisotropic sparse quadrature and their impact on random diffusion problems. Preprints Fachbereich Mathematik, 2015 (27).

Harbrecht, Helmut and Utzinger, Manuela. (2015) On adaptive wavelet boundary element methods. Preprints Fachbereich Mathematik, 2015 (42).

Dambrine, Marc and Dapogny, Charles and Harbrecht, Helmut. (2015) Shape optimization for quadratic functionals and states with random right-hand sides. Preprints Fachbereich Mathematik, 2015 (03).

Harbrecht, Helmut and Peters, Michael. (2015) Solution of free boundary problems in the presence of geometric uncertainties. Preprints Fachbereich Mathematik, 2015 (02).

Harbrecht, Helmut and Peters, Michael. (2015) The second order perturbation approach for PDEs on random domains. Preprints Fachbereich Mathematik, 2015 (40).

Bugeanu, Monica and Di Remigio, Roberto and Mozgawa, Krzysztof and Reine, Simen and Harbrecht, Helmut and Frediani, Luca. (2015) Wavelet formulation of the polarizable continuum model. II. Use of piecewise bilinear boundary elements. Preprints Fachbereich Mathematik, 2015 (19).

## 2014

Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2014) Riesz minimal energy problems on Ck−1,1-manifolds. Mathematische Nachrichten, Vol. 287, H. 1. pp. 48-69.

Griebel, Michael and Harbrecht, Helmut. (2014) Approximation of bi-variate functions : singular value decomposition versus sparse grids. IMA journal of numerical analysis, Vol. 34, H. 1. pp. 8-54.

Fender, Johannes and Graff, L. and Harbrecht, H. and Zimmermann, Markus. (2014) Identifying key parameters for design improvement in high-dimensional systems with uncertainty. Journal of mechanical design, Vol. 136, H. 4 , 041007.

Alm, Daniel and Harbrecht, Helmut and Krämer, Ulf. (2014) The H2-wavelet method. Journal of computational and applied mathematics, Vol. 267. pp. 131-159.

Harbrecht, Helmut. (2014) Second moment analysis for Robin boundary value problems on random domains. In: Singular Phenomena and Scaling in Mathematical Models. Cham, pp. 361-382.

Griebel, Michael and Harbrecht, Helmut. (2014) On the convergence of the combination technique. In: Sparse Grids and Applications - Munich 2012. Berlin-Heidelberg, pp. 55-74.

Harbrecht, Helmut and Mitrou, Giannoula. (2014) Improved trial methods for a class of generalized Bernoulli problems. Journal of mathematical analysis and applications, Vol. 420, H. 1. pp. 177-194.

Leugering, G. and Benner, P. and Engell, S. and Griewank, A. and Harbrecht, H. and Hinze, M. and Rannacher, R. and Ulbrich, S., eds. (2014) Trends in PDE constrained optimization. International series of numerical mathematics, 165. Basel.

Harbrecht, Helmut and Tausch, Johannes. (2014) On shape optimization with parabolic state equation. In: Trends in PDE constrained optimization. Basel, pp. 213-229.

Bugeanu, Monica and Harbrecht, Helmut. (2014) A second order convergent trial method for free boundary problems in three dimensions. Preprints Fachbereich Mathematik, 2014 (14).

Harbrecht, Helmut and Peters, Michael. (2014) Combination technique based second moment analysis for elliptic PDEs on random domains. Preprints Fachbereich Mathematik, 2014 (19).

Dambrine, Marc and Harbrecht, Helmut and Puig, Benedicte. (2014) Computing Quantities of Interest for Random Domains with Second Order Shape Sensitivity Analysis. Preprints Fachbereich Mathematik, 2014 (13).

Dölz, Jürgen and Harbrecht, Helmut and Schwab, Christoph. (2014) Covariance regularity and H-matrix approximation for rough random fields. Preprints Fachbereich Mathematik, 2014 (11).

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2014) Efficient approximation of random fields for numerical applications. Preprints Fachbereich Mathematik, 2014 (01).

Dölz, Jürgen and Harbrecht, Helmut and Peters, Michael. (2014) H-matrix accelerated second moment analysis for potentials with rough correlation. Preprints Fachbereich Mathematik, 2014 (03).

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2014) Numerical solution of elliptic diffusion problems on random domains. Preprints Fachbereich Mathematik, 2014 (08).

Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2014) Rapid solution of minimal Riesz energy problems. Preprints Fachbereich Mathematik, 2014 (09).

Dambrine, Marc and Greff, Isabelle and Harbrecht, Helmut and Puig, Benedicte. (2014) Solution of the Poisson equation with a thin layer of random thickness. Preprints Fachbereich Mathematik, 2014 (18).

## 2013

Harbrecht, Helmut and Tausch, Johannes. (2013) On the numerical solution of a shape optimization problem for the heat equation. SIAM journal on scientific computing, Vol. 35, H. 1 , A104-A121.

Griebel, Michael and Harbrecht, Helmut. (2013) On the construction of sparse tensor product spaces. Mathematics of computation, Vol. 82, H. 282. pp. 975-994.

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2013) On multilevel quadrature for elliptic stochastic partial differential equations. In: Sparse grids and applications. Berlin-Heidelberg, pp. 161-179.

Harbrecht, Helmut and Peters, Michael. (2013) Comparison of fast boundary element methods on parametric surfaces. Computer methods in applied mechanics and engineering, Vol. 261-262. pp. 39-55.

Buffa, Annalisa and Harbrecht, Helmut and Kunoth, Angela and Sangalli, Giancarlo. (2013) BPX-preconditioning for isogeometric analysis. Computer methods in applied mechanics and engineering, Vol. 265 , S. 63–70.

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2013) Combination technique based k-th moment analysis of elliptic problems with random diffusion. Journal of computational physics, Vol. 252 , S. 128–141.

Harbrecht, Helmut and Li, Jingzhi. (2013) First order second moment analysis for stochastic interface problems based on low-rank approximation. Mathematical modelling and numerical analysis, Vol. 47, H. 5. pp. 1533-1552.

Griebel, Michael and Harbrecht, Helmut. (2013) A note on the construction of L-fold sparse tensor product spaces. Constructive approximation, Vol. 38, H. 2. pp. 235-251.

Harbrecht, Helmut. (2013) Modelling and simulation of elliptic PDEs on random domains. Zürich.

Harbrecht, Helmut. (2013) Multilevel quadrature for elliptic stochastic partial differential equations. Oberwolfach Reports, (39). pp. 2212-2215.

Harbrecht, Helmut and Peters, Michael. (2013) Comparison of fast boundary element methods on parametric surfaces. Preprints Fachbereich Mathematik, 2013 (01).

Harbrecht, Helmut and Mitrou, Giannoula. (2013) Improved trial methods for a class of generalized Bernoulli problems. Preprints Fachbereich Mathematik, 2013 (22).

Graff, Lavinia and Fender, Johannes and Harbrecht, Helmut and Zimmermann, Markus. (2013) Key parameters in high-dimensional systems with uncertainty. Preprints Fachbereich Mathematik, 2013 (12).

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2013) Multilevel accelerated quadrature for PDEs with log-normal distributed random coefficient. Preprints Fachbereich Mathematik, 2013 (18).

Harbrecht, Helmut and Tausch, Johannes. (2013) On shape optimization with parabolic state equation. Preprints Fachbereich Mathematik, 2013 (23).

Griebel, Michael and Harbrecht, Helmut. (2013) On the convergence of the combination technique. Preprints Fachbereich Mathematik, 2013 (07).

Harbrecht, Helmut and Loos, Florian. (2013) Optimization of current carrying multicables. Preprints Fachbereich Mathematik, 2013 (16).

Harbrecht, Helmut and Mitrou, Giannoula. (2013) Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data. Preprints Fachbereich Mathematik, 2013 (29).

Alm, Daniel and Harbrecht, Helmut and Krämer, Ulf. (2013) The H2-wavelet method. Preprints Fachbereich Mathematik, 2013 (17).

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2013) Tractability of the Quasi-Monte Carlo quadrature with Halton points for elliptic PDEs with random diffusion. Preprints Fachbereich Mathematik, 2013 (28).

## 2012

Harbrecht, Helmut and Peters, Michael and Schneider, Reinhold. (2012) On the low-rank approximation by the pivoted Cholesky decomposition. Applied numerical mathematics, Vol. 62, H. 4. pp. 428-440.

Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2012) On Riesz minimal energy problems. Journal of mathematical analysis and applications, Vol. 393, H. 2 , S. 397–412.

Eppler, Karsten and Harbrecht, Helmut. (2012) Shape optimization for free boundary problems : analysis and numerics. In: Constrained Optimization and Optimal Control for Partial Differential Equations. Basel, pp. 277-288.

Harbrecht, Helmut. (2012) Preconditioning of wavelet BEM by the incomplete Cholesky factorization. Computing and visualization in science, Vol. 15, H. 6 , S. 319-329.

Eppler, Karsten and Harbrecht, Helmut. (2012) On a Kohn-Vogelius like formulation of free boundary problems. Computational Optimization and Applications, 52 (1). pp. 69-85.

Buffa, Annalisa and Harbrecht, Helmut and Kunoth, Angela and Sangalli, Giancarlo. (2012) BPX-Preconditioning for Isogeometric Analysis. Preprints Fachbereich Mathematik, 2012 (12).

Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2012) Riesz minimal energy problems on $C^{k−1,1}$-manifolds. Preprints Fachbereich Mathematik, 2012 (01).

Harbrecht, Helmut. (2012) Second moment analysis for Robin boundary value problems on random domains. Preprints Fachbereich Mathematik, 2012 (13).

## 2011

Harbrecht, Helmut. (2011) On analytical derivatives for geometry optimization in the polarizable continuum model. Journal of mathematical chemistry, Vol. 49, H. 9. pp. 1928-1936.

Harbrecht, Helmut and Schwab, Christoph. (2011) Sparse tensor finite elements for elliptic multiple scale problems. Computer methods in applied mechanics and engineering, Vol. 200, H. 45-46. pp. 3100-3110.

Harbrecht, Helmut and Randrianarivony, Maharavo. (2011) Wavelet BEM on molecular surfaces: solvent excluded surfaces. Computing, Vol. 92, H. 4. pp. 335-364.

Harbrecht, Helmut and Tausch, Johannes. (2011) An efficient numerical method for a shape-identification problem arising from the heat equation. Inverse problems, Vol. 27, H. 6 , 065013.