Publications

Harbrecht, H., Jakeman, J. D. and Zaspel, P. (2021) “Cholesky-based experimental design for Gaussian process and kernel-based emulation and calibration”, Communications in Computational Physics. Global Science Press, 29(4), pp. 1152–1185. doi: 10.4208/cicp.OA-2020-0060.   edoc
Harbrecht, H. and Multerer, M. D. (2021) “A fast direct solver for nonlocal operators in wavelet coordinates”, Journal of computational physics, 428, p. 110056.   
Harbrecht, H., Jakeman, J. and Zaspel, P. (2020) “Cholesky-based experimental design for Gaussian process and kernel-based emulation and calibration”. Universität Basel (Preprints Fachbereich Mathematik, 2020).   edoc | Open Access
Harbrecht, H. and Multerer, M. (2020) “A fast direct solver for nonlocal operators in wavelet coordinates”. Universität Basel (Preprints Fachbereich Mathematik, 2020).   edoc | Open Access
Dölz, J., Harbrecht, H., Jerez-Hanckes, C. and Multerer, M. (2020) “Isogeometric multilevel quadrature for forward and inverse random acoustic scattering”. Universität Basel (Preprints Fachbereich Mathematik, 2020).   edoc | Open Access
Brügger, R., Harbrecht, H. and Tausch, J. (2020) “Boundary integral operators for the heat equation in time-dependent domains”. Universität Basel (Preprints Fachbereich Mathematik, 2020).   edoc | Open Access
Brügger, R., Croce, R. and Harbrecht, H. (2020) “Solving a Bernoulli type free boundary problem with random diffusion”, ESAIM. Control, optimisation and calculus of variations. EDP Sciences, 26(56). doi: https://doi.org/10.1051/cocv/2019030 .   edoc | Open Access
Dölz, J., Harbrecht, H., Kurz, S., Multerer, M. D., Schöps, S. and Wolf, F. (2020) “Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation”, SoftwareX. Elsevier, 11, p. 100476. doi: 10.1016/j.softx.2020.100476.   edoc | Open Access
Dambrine, M. and Harbrecht, H. (2020) “Shape optimization for composite materials and scaffolds”, Multiscale Modeling and Simulation. Society for Industrial and Applied Mathematics, 18(2), pp. 1136–1152. doi: 10.1137/19M1274638.   edoc | Open Access
Griebel, M., Harbrecht, H. and Multerer, M. D. (2020) “Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains”, SIAM Journal on Numerical Analysis. Society for Industrial and Applied Mathematics, 58(1), pp. 684–705. doi: 10.1137/18M1236265.   edoc | Open Access
Harbrecht, H. and Schmidlin, M. (2020) “Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion”, Stochastics and Partial Differential Equations. Springer, 8(1), pp. 54–81. doi: 10.1007/s40072-019-00142-w.   edoc | Open Access
Harbrecht, H., Tröndle, D. and Zimmermann, M. (2019) “Approximating solution spaces as a product of polygons”. Universität Basel (Preprints Fachbereich Mathematik, 2019).   edoc | Open Access
Alassi, S., Schweizer, T., Hawkins, M., Iliffe, R., Rosenthaler, L., Mattmüller, M. and Harbrecht, H. (2019) “Newton virtually meets Euler and Bernoulli”, in DH2019. DataverseNL. doi: 10411/ELJH8X.   edoc
Bürli, C., Harbrecht, H., Odermatt, P., Sayasone, S. and Chitnis, N. (2019) “Age dependency in the transmission dynamics of the liver fluke, Opisthorchis viverrini and the effectiveness of interventions”. Universität Basel (Preprints Fachbereich Mathematik, 2019).   edoc | Open Access
Dölz, J., Harbrecht, H., Kurz, S., Multerer, M. D., Schöps, S. and Wolf, F. (2019) “Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation ”. Universität Basel (Preprints Fachbereich Mathematik, 2019).   edoc | Open Access
Harbrecht, H. and Kalmykov, I. (2019) “Sparse grid approximation of the Riccati operator for closed loop parabolic control problems with Dirichlet boundary control”. Universität Basel (Preprints Fachbereich Mathematik, 2019).   edoc | Open Access
Harbrecht, H. (2019) “About a fast isogeometric boundary element method”, Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Dambrine, M., Harbrecht, H. and Puig, B. (2019) “Incorporating knowledge on the measurement noise in electrical impedance tomography”, ESAIM: Control, Optimisation and Calculus of Variations. EDP Sciences, 25, p. 84. doi: 10.1051/cocv/2018010.   edoc | Open Access
Griebel, M. and Harbrecht, H. (2019) “Singular value decomposition versus sparse grids: Refined complexity estimates”, IMA journal of numerical analysis. Oxford University Press, 39(4), pp. 1652–1671. doi: 10.1093/imanum/dry039.   edoc
Eppler, K., Harbrecht, H., Schlenkrich, S. and Walther, A. (2019) “Computation of Shape Derivatives in Electromagnetic Shaping by Algorithmic Differentiation”, Journal of Mathematical Study. Global Science Press, 52(3), pp. 227–243. doi: 10.4208/jms.v52n3.19.01.   edoc
Harbrecht, H., Tröndle, D. and Zimmermann, M. (2019) “A sampling-based optimization algorithm for solution spaces with pair-wise-coupled design variables”, Structural and multidisciplinary optimization. Springer, 60(2), pp. 501–512. doi: 10.1007/s00158-019-02221-x.   edoc | Open Access
Harbrecht, H. and Moor, M. (2019) “Wavelet boundary element methods - Adaptivity and goal-oriented error estimation”, in Apel, T., Langer, U., Meyer, A., and Steinbach, O. (eds.) Advanced Finite Element Methods with Applications. Switzerland: Springer Nature (Lecture Notes in Computational Science and Engineering), pp. 143–164.   edoc | Open Access
Balazs, P. and Harbrecht, H. (2019) “Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing”, Numerical Functional Analysis and Optimization. Taylor & Francis, 40(1), pp. 65–84. doi: 10.1080/01630563.2018.1495232.   edoc | Open Access
Zaspel, P., Huang, B., Harbrecht, H. and von Lilienfeld, A. O. (2019) “Boosting quantum machine learning models with multi-level combination technique: Pople diagrams revisited”, Journal of chemical theory and computation. American Chemical Society, 15(3), pp. 1546–1559. doi: 10.1021/acs.jctc.8b00832.   edoc | Open Access
Harbrecht, H. and Zaspel, P. (2019) “On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems”, Journal of scientific computing. Springer, 78(2), pp. 1272–1290. doi: 10.1007/s10915-018-0807-6.   edoc | Open Access
Caubet, F., Dambrine, M. and Harbrecht, H. (2019) “A new method for the data completion problem and application to obstacle detection”, SIAM journal on applied mathematics. Society for Industrial and Applied Mathematics , 79(1), pp. 415–435. doi: 10.1137/18M1186071.   edoc | Open Access
Harbrecht, H., Dölz, J. and Multerer, M. D. (2019) “On the Best Approximation of the Hierarchical Matrix Product”, SIAM journal on matrix analysis and applications. Society for Industrial and Applied Mathematics, 40(1), pp. 147–174.   edoc | Open Access
Dölz, J., Gerig, T., Lüthi, M., Harbrecht, H. and Vetter, T. (2019) “Error-Controlled Model Approximation for Gaussian Process Morphable Models”, Journal of Mathematical Imaging and Vision. Springer, 61(4), pp. 443–457. doi: 10.1007/s10851-018-0854-5.   edoc | Open Access
Harbrecht, H., Ilić, N. and Multerer, M. D. (2019) “Rapid computation of far-field statistics for random obstacle scattering”, Engineering analysis with boundary elements. Elsevier, 101, pp. 243–251.   edoc
Bugeanu, M. and Harbrecht, H. (2019) “Parametric representation of molecular surfaces”, International journal of quantum chemistry. Wiley, 119, p. e25695. doi: 10.1002/qua.25695.   edoc | Open Access
Harbrecht, H., Ilić, N. and Multerer, M. D. (2018) “Acoustic scattering in case of random obstacles”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Harbrecht, H. and Zaspel, P. (2018) “A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Dölz, J., Harbrecht, H. and Multerer, M. D. (2018) “On the best approximation of the hierarchical matrix product”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Balazc, P. and Harbrecht, H. (2018) “Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Brügger, R., Croce, R. and Harbrecht, H. (2018) “Solving a Bernoulli type free boundary problem with random diffusion”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Harbrecht, H. and Moor, M. (2018) “Wavelet boundary element methods – Adaptivity and goal-oriented error estimation”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Vogt, M. E., Duddeck, F., Harbrecht, H., Stutz, F., Wahle, M. and Zimmermann, M. (2018) “Computing solution-compensation spaces using an enhanced Fourier-Motzkin algorithm”, Proceedings in applied mathematics and mechanics. Wiley, 18(1), p. e201800103. doi: 10.1002/pamm.201800103.   edoc
Harbrecht, H. (2018) “Shape optimization under uncertainty”, Oberwolfach Reports. European Mathematical Society. doi: 10.4171/OWR/2018/38.   edoc | Open Access
Bugeanu, M. and Harbrecht, H. (2018) “Parametric representation of molecular surfaces”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Harbrecht, H. and Zaspel, P. E. (2018) “On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Harbrecht, H. and Schmidlin, M. (2018) “Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM”. Universität Basel (Preprints Fachbereich Mathematik, 2018).   edoc | Open Access
Harbrecht, H. and Tausch, J. (2018) “A fast sparse grid based space-time boundary element method for the nonstationary heat equation”, Numerische Mathematik. Springer, 140(1), pp. 239–264. doi: 10.1007/s00211-018-0963-5.   edoc | Open Access
Bürli, C., Harbrecht, H., Odermatt, P., Sayasone, S. and Chitnis, N. (2018) “Analysis of interventions against the liver fluke, Opisthorchis viverrini”, Mathematical biosciences : an international journal. American Elsevier, 303, pp. 115–125.   edoc | Open Access
Brügger, R., Croce, R. and Harbrecht, H. (2018) “Solving a free boundary problem with non-constant coefficients”, Mathematical Methods in the Applied Sciences . Wiley, 41(10), pp. 3653–3671. doi: 10.1002/mma.4853.   edoc | Open Access
Dölz, J. and Harbrecht, H. (2018) “Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains”, Journal of Computational Physics. Elsevier, 371, pp. 506–527. doi: 10.1016/j.jcp.2018.05.040.   edoc | Open Access
Haji-Ali, A.-L., Harbrecht, H., Peters, M. and Siebenmorgen, M. (2018) “Novel results for the anisotropic sparse grid quadrature”, Journal of complexity. Elsevier, 47, pp. 62–85. doi: 10.1016/j.jco.2018.02.003 .   edoc
Dahlke, S., Harbrecht, H., Utzinger, M. and Weimar, M. (2018) “Adaptive Wavelet BEM for boundary integral equations. Theory and numerical experiments”, Numerical Functional Analysis and Optimization. Taylor & Francis, 39(2), pp. 208–232. doi: 10.1080/01630563.2017.1359623.   edoc | Open Access
Harbrecht, H., Wendland, W. L. and Zorii, N. (2018) “Minimal energy problems for strongly singular Riesz kernels”, Mathematical News / Mathematische Nachrichten. Wiley, 291(1), pp. 55–85. doi: 10.1002/mana.201600024.   edoc | Open Access
Harbrecht, H. and Peters, M. D. (2018) “The second order perturbation approach for elliptic partial differential equations on random domains”, Applied Numerical Mathematics. Elsevier, 125, pp. 159–171. doi: 10.1016/j.apnum.2017.11.002.   edoc | Open Access
Dölz, J., Harbrecht, H., Kurz, S., Schöps, S. and Wolf, F. (2018) “A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems”, Computer Methods in Applied Mechanics and Engineering. Elsevier, 330, pp. 83–101. doi: 10.1016/j.cma.2017.10.020.   edoc | Open Access
Bürli, C., Harbrecht, H., Odermatt, P., Sayasone, S. and Chitnis, N. (2018) “Mathematical analysis of the transmission dynamics of the liver fluke, Opisthorchis viverrini”, Journal of Theoretical Biology. Elsevier, 439, pp. 181–194. doi: 10.1016/j.jtbi.2017.11.020.   edoc | Open Access
Harbrecht, H. and Utzinger, M. (2018) “On adaptive wavelet boundary element methods”, Journal of Computational Mathematics. Institute of Computational Mathematics and Scientific/Engineering Computing , 36(1), pp. 90–109. doi: 10.4208/jcm.1610-m2016-0496.   edoc | Open Access
Brügger, R., Croce, R. and Harbrecht, H. (2017) “Solving a free boundary problem with non-constant coefficients”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Griebel, M. and Harbrecht, H. (2017) “Singular value decomposition versus sparse grids. Refined complexity estimates”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Dambrine, M., Harbrecht, H. and Puig, B. (2017) “Incorporating knowledge on the measurement noise in electrical impedance tomography”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Harbrecht, H. and Schmidlin, M. (2017) “Multilevel Methods for Uncertainty Quantification of Elliptic PDEs with Random Anisotropic Diffusion”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Dölz, J. and Harbrecht, H. (2017) “Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Dölz, J., Gerig, T., Harbrecht , H. ., Lüthi, M. and Vetter, T. (2017) “Efficient computation of low-rank Gaussian process models for surface and image registration”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Bürli, C., Chitnis, N., Harbrecht, H., Odermatt, P. and Sayasone, S. (2017) “Analysis of Interventions against the Liver Fluke, Opisthorchis viverrini”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Caubet, F., Dambrine, M. and Harbrecht, H. (2017) “A Newton method for the data completion problem and application to obstacle detection in Electrical Impedance Tomography”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Dölz, J., Harbrecht, H., Kurz, S., Schöps, S. and Wolf, F. (2017) “A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems”. Universität Basel (Preprints Fachbereich Mathematik, 2017).   edoc | Open Access
Harbrecht, H. (2017) “Novel results for the anisotropic sparse grid quadrature”, Oberwolfach Reports. European Mathematical Society. doi: 10.4171/OWR/2017/17.   edoc | Open Access
Harbrecht, H. (2017) “On shape optimization with parabolic state equation”, Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Harbrecht, H. and Peters, M. (2017) “Solution of free boundary problems in the presence of geometric uncertainties”, in Bergounioux, M., Oudet, Édouard, Rumpf, M., Carlier, G., Champion, T., and Santambrogio, F. (eds.) Topological Optimization and Optimal Transport In the Applied Sciences. Berlin-Bosten: De Gruyter (Radon Series on Computational and Applied Mathematics), pp. 20–39. doi: 10.1515/9783110430417-002.   edoc | Open Access
Dambrine, M., Harbrecht, H., Peters, M. and Puig, B. (2017) “On Bernoulli’s free boundary problem with a random boundary”, International Journal for Uncertainty Quantification. Begell House, 7(4), pp. 335–353. doi: 10.1615/Int.J.UncertaintyQuantification.2017019550 .   edoc
Dölz, J., Harbrecht, H. and Peters, M. (2017) “H-matrix based second moment analysis for rough random fields and finite element discretizations”, SIAM Journal on Scientific Computing. Society for Industrial and Applied Mathematics, 39(4), pp. B618-B639.   edoc | Open Access
Harbrecht, H., Peters, M. and Schmidlin, M. (2017) “Uncertainty quantification for PDEs with anisotropic random diffusion”, SIAM Journal on Numerical Analysis. Society for Industrial and Applied Mathematics, 55(2), pp. 1002–1023. doi: 10.1137/16M1085760.   edoc | Open Access
Dölz, J., Harbrecht, H. and Schwab, C. (2017) “Covariance regularity and H-matrix approximation for rough random fields”, Numerische Mathematik, 135(4), pp. 1045–1071. doi: 10.1007/s00211-016-0825-y.   edoc | Open Access
Dambrine, M., Greff, I., Harbrecht, H. and Puig, B. (2017) “Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness”, Journal of Computational Physics. Elsevier, 330, pp. 943–959. doi: 10.1016/j.jcp.2016.10.044.   edoc | Open Access
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2017) “On the quasi-Monte Carlo quadrature with Halton points for elliptic PDEs with log-normal diffusion”, Mathematics of Computation. American Mathematical Society, 86, pp. 771–797. doi: 10.1090/mcom/3107.   edoc | Open Access
Harbrecht, H., Peters, M. and Schmidlin, M. (2016) “Uncertainty quantification for PDEs with anisotropic random diffusion”. Universität Basel (Preprints Fachbereich Mathematik, 2016).   edoc | Open Access
Dambrine, M., Harbrecht, H., Peters, M. and Puig, B. (2016) “On Bernoulli’s free boundary problem with a random boundary”. Universität Basel (Preprints Fachbereich Mathematik, 2016).   edoc | Open Access
Dambrine, M., Greff, I., Harbrecht, H. and Puig, B. (2016) “Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness”. Universität Basel (Preprints Fachbereich Mathematik, 2016).   edoc | Open Access
Bürli, C., Harbrecht, H., Odermatt, P., Sayasone, S. and Chitnis, N. (2016) “Mathematical Analysis of the Transmission Dynamics of the Liver Fluke, Opisthorchis viverrini”. Universität Basel (Preprints Fachbereich Mathematik, 2016).   edoc | Open Access
Dahlke, S., Harbrecht, H., Utzinger, M. and Weimar, M. (2016) “Adaptive Wavelet BEM for boundary integral equations. Theory and numerical experiments”. Universität Basel (Preprints Fachbereich Mathematik, 2016).   edoc | Open Access
Harbrecht, H. and Schneider, R. (2016) “A note on multilevel based error estimation”. Universität Basel (Preprints Fachbereich Mathematik, 2016).   edoc | Open Access
Harbrecht, H. and Tausch, J. (2016) “A fast sparse grid based space-time boundary element method for the nonstationary heat equation”. Universität Basel (Preprints Fachbereich Mathematik, 2016).   edoc | Open Access
Harbrecht, H. (2016) “On fast boundary element methods for parametric surfaces”, Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Dölz, J., Harbrecht, H. and Peters, M. (2016) “An interpolation-based fast multipole method for higher order boundary elements on parametric surfaces”, International Journal for Numerical Methods in Engineering. Wiley, 108(13), pp. 1705–1728. doi: 10.1002/nme.5274 .   edoc | Open Access
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2016) “Analysis of the domain mapping method for elliptic diffusion problems on random domains”, Numerische Mathematik. Springer, 134(4), pp. 823–856. doi: 10.1007/s00211-016-0791-4.   edoc | Open Access
Graff, L., Harbrecht, H. and Zimmermann, M. (2016) “On the computation of solution spaces in high dimensions”, Structural and Multidisciplinary Optimization. Springer, 54(4), pp. 811–829. doi: 10.1007/s00158-016-1454-x.   edoc | Open Access
Harbrecht, H. and Schneider, R. (2016) “A Note on Multilevel Based Error Estimation”, Computational Methods in Applied Mathematics. De Gruyter, 16(3), pp. 447–458. doi: 10.1515/cmam-2016-0013.   edoc | Open Access
Harbrecht, H., Wendland, W. L. and Zorii, N. (2016) “Rapid Solution of Minimal Riesz Energy Problems”, Numerical Methods for Partial Differential Equations. Wiley, 32(6), pp. 1535–1552. doi: 10.1002/num.22060.   edoc | Open Access
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2016) “Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient”, SIAM/ASA Journal on Uncertainty Quantification, 4(1), pp. 520–551.   edoc | Open Access
Harbrecht, H. and Loos, F. (2016) “Optimization of current carrying multicables”, Computational optimization and applications. Springer, 63(1), pp. 237–271. doi: 10.1007/s10589-015-9764-2 .   edoc | Open Access
Dambrine, M., Greff, I., Harbrecht, H. and Puig, B. (2016) “Numerical solution of the Poisson equation on domains with a thin layer of random thickness”, SIAM journal on numerical analysis. Society for Industrial and Applied Mathematics, 54(2), pp. 921–941. doi: 10.1137/140998652.   edoc | Open Access
Harbrecht, H. and Peters, M. (2016) “Combination technique based second moment analysis for elliptic PDEs on random domains”, in Garcke, J. and Pflüger, D. (eds.) Sparse grids and applications - Stuttgart 2014. Switzerland: Springer International Publishing (Lecture notes in computational science and engineering), pp. 51–77. doi: 10.1007/978-3-319-28262-6_3.   edoc | Open Access
Bugeanu, M., Di Remigio, R., Mozgawa, K., Reine, S., Harbrecht, H. and Frediani, L. (2015) “Wavelet formulation of the polarizable continuum model. II. Use of piecewise bilinear boundary elements”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Harbrecht, H. and Peters, M. (2015) “The second order perturbation approach for PDEs on random domains”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Harbrecht, H. and Peters, M. (2015) “Solution of free boundary problems in the presence of geometric uncertainties”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Dambrine, M., Dapogny, C. and Harbrecht, H. (2015) “Shape optimization for quadratic functionals and states with random right-hand sides”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc
Harbrecht, H. and Utzinger, M. (2015) “On adaptive wavelet boundary element methods”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Haji-Ali, A.-L., Harbrecht, H., Peters, M. and Siebenmorgen, M. (2015) “Novel results for the anisotropic sparse quadrature and their impact on random diffusion problems”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Griebel, M., Harbrecht, H. and Peters, M. (2015) “Multilevel quadrature for elliptic parametric partial differential equations on non-nested meshes”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Harbrecht, H., Wendland, W. L. and Zorii, N. (2015) “Minimal energy problems for strongly singular Riesz kernels”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Dölz, J., Harbrecht, H. and Peters, M. (2015) “H-matrix based second moment analysis for rough random fields and finite element discretizations”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Dölz, J., Harbrecht, H. and Peters, M. (2015) “An interpolation-based fast multipole method for higher order boundary elements on parametric surfaces”. Universität Basel (Preprints Fachbereich Mathematik, 2015).   edoc | Open Access
Harbrecht, H. (2015) “Sparse BEM for the heat equation”, Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Bugeanu, M., Di Remigio, R., Mozgawa, K., Reine, S. S., Harbrecht, H. and Frediani, L. (2015) “Wavelet formulation of the polarizable continuum model. II. Use of piecewise bilinear boundary elements”, Physical Chemistry, Chemical Physics. Royal Society of Chemistry, 17(47), pp. 31566–31581. doi: 10.1039/C5CP03410H.   edoc | Open Access
Bugeanu, M. and Harbrecht, H. (2015) “A second order convergent trial method for a free boundary problem in three dimensions”, Interfaces and free boundaries. European Mathematical Society, 17(4), pp. 517–537. doi: 10.4171/IFB/352.   edoc | Open Access
Dölz, J., Harbrecht, H. and Peters, M. (2015) “H-matrix accelerated second moment analysis for potentials with rough correlation”, Journal of scientific computing. Kluwer, Vol. 65, H. 1, pp. 387–410. doi: 10.1007/s10915-014-9965-3.   edoc | Open Access
Dambrine, M., Dapogny, C. and Harbrecht, H. (2015) “Shape optimization for quadratic functionals and states with random right-hand sides”, SIAM journal on control and optimization. SIAM, Vol. 53, H. 5, pp. 3081–3103. doi: 10.1137/15M1017041.   edoc | Open Access
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2015) “Efficient approximation of random fields for numerical applications”, Numerical linear algebra with applications. John Wiley, Vol. 22, H. 4, pp. 596–617. doi: 10.1002/nla.1976.   edoc | Open Access
Dambrine, M., Harbrecht, H. and Puig, B. (2015) “Computing quantities of interest for random domains with second order shape sensitivity analysis”, Mathematical modelling and numerical analysis. EDP Sciences, Vol. 49, H. 5, pp. 1285–1302. doi: 10.1051/m2an/2015012.   edoc | Open Access
Harbrecht, H. and Mitrou, G. (2015) “Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data”, Mathematical methods in the applied sciences. John Wiley, Vol. 38, H. 13, pp. 2850–2863. doi: 10.1002/mma.3268.   edoc | Open Access
Dambrine, M., Greff, I., Harbrecht, H. and Puig, B. (2014) “Solution of the Poisson equation with a thin layer of random thickness”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Harbrecht, H., Wendland, W. L. and Zorii, N. (2014) “Rapid solution of minimal Riesz energy problems”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2014) “Numerical solution of elliptic diffusion problems on random domains”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Dölz, J., Harbrecht, H. and Peters, M. (2014) “H-matrix accelerated second moment analysis for potentials with rough correlation”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2014) “Efficient approximation of random fields for numerical applications”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Dölz, J., Harbrecht, H. and Schwab, C. (2014) “Covariance regularity and H-matrix approximation for rough random fields”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Dambrine, M., Harbrecht, H. and Puig, B. (2014) “Computing Quantities of Interest for Random Domains with Second Order Shape Sensitivity Analysis”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Harbrecht, H. and Peters, M. (2014) “Combination technique based second moment analysis for elliptic PDEs on random domains”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Bugeanu, M. and Harbrecht, H. (2014) “A second order convergent trial method for free boundary problems in three dimensions”. Universität Basel (Preprints Fachbereich Mathematik, 2014).   edoc | Open Access
Harbrecht, H. and Tausch, J. (2014) “On shape optimization with parabolic state equation”, in Trends in PDE constrained optimization. Basel: Birkhäuser (International series of numerical mathematics), pp. 213–229.   edoc
Leugering, G., Benner, P., Engell, S., Griewank, A., Harbrecht, H., Hinze, M., Rannacher, R. and Ulbrich, S. (eds.) (2014) Trends in PDE constrained optimization. Basel: Birkhäuser (International series of numerical mathematics, 165).   edoc
Harbrecht, H. and Mitrou, G. (2014) “Improved trial methods for a class of generalized Bernoulli problems”, Journal of mathematical analysis and applications. Elsevier, Vol. 420, H. 1, pp. 177–194. doi: 10.1016/j.jmaa.2014.05.059.   edoc | Open Access
Griebel, M. and Harbrecht, H. (2014) “On the convergence of the combination technique”, in Sparse Grids and Applications - Munich 2012. Berlin-Heidelberg: Springer, pp. 55–74. doi: 10.1007/978-3-319-04537-5_3.   edoc | Open Access
Harbrecht, H. (2014) “Second moment analysis for Robin boundary value problems on random domains”, in Singular Phenomena and Scaling in Mathematical Models. Cham: Springer, pp. 361–382. doi: 10.1007/978-3-319-00786-1_16.   edoc
Alm, D., Harbrecht, H. and Krämer, U. (2014) “The H2-wavelet method”, Journal of computational and applied mathematics. Elsevier, Vol. 267, pp. 131–159.   edoc
Fender, J., Graff, L., Harbrecht, H. and Zimmermann, M. (2014) “Identifying key parameters for design improvement in high-dimensional systems with uncertainty”, Journal of mechanical design. ASME, Vol. 136, H. 4 , 041007.   edoc
Griebel, M. and Harbrecht, H. (2014) “Approximation of bi-variate functions : singular value decomposition versus sparse grids”, IMA journal of numerical analysis. Oxford University Press, Vol. 34, H. 1, pp. 8–54.   edoc
Harbrecht, H., Wendland, W. L. and Zorii, N. (2014) “Riesz minimal energy problems on Ck−1,1-manifolds”, Mathematische Nachrichten. Wiley-VCH Verlag, Vol. 287, H. 1, pp. 48–69.   edoc
Alm, D., Harbrecht, H. and Krämer, U. (2013) “The H2-wavelet method”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2013) “Tractability of the Quasi-Monte Carlo quadrature with Halton points for elliptic PDEs with random diffusion”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Harbrecht, H. and Mitrou, G. (2013) “Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Harbrecht, H. and Loos, F. (2013) “Optimization of current carrying multicables”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Harbrecht, H. and Tausch, J. (2013) “On shape optimization with parabolic state equation”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Griebel, M. and Harbrecht, H. (2013) “On the convergence of the combination technique”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2013) “Multilevel accelerated quadrature for PDEs with log-normal distributed random coefficient”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Graff, L., Fender, J., Harbrecht, H. and Zimmermann, M. (2013) “Key parameters in high-dimensional systems with uncertainty”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Harbrecht, H. and Mitrou, G. (2013) “Improved trial methods for a class of generalized Bernoulli problems”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Harbrecht, H. and Peters, M. (2013) “Comparison of fast boundary element methods on parametric surfaces”. Universität Basel (Preprints Fachbereich Mathematik, 2013).   edoc | Open Access
Harbrecht, H. (2013) “Multilevel quadrature for elliptic stochastic partial differential equations”, Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Harbrecht, H. (2013) “Modelling and simulation of elliptic PDEs on random domains”. Zürich: Oberwolfach reports.   edoc
Griebel, M. and Harbrecht, H. (2013) “A note on the construction of L-fold sparse tensor product spaces”, Constructive approximation. Springer, Vol. 38, H. 2, pp. 235–251.   edoc
Harbrecht, H. and Li, J. (2013) “First order second moment analysis for stochastic interface problems based on low-rank approximation”, Mathematical modelling and numerical analysis. EDP Sciences, Vol. 47, H. 5, pp. 1533–1552.   edoc
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2013) “Combination technique based k-th moment analysis of elliptic problems with random diffusion”, Journal of computational physics. Elsevier, Vol. 252 , S. 128–141.   edoc
Buffa, A., Harbrecht, H., Kunoth, A. and Sangalli, G. (2013) “BPX-preconditioning for isogeometric analysis”, Computer methods in applied mechanics and engineering. Elsevier, Vol. 265 , S. 63–70.   edoc
Harbrecht, H. and Peters, M. (2013) “Comparison of fast boundary element methods on parametric surfaces”, Computer methods in applied mechanics and engineering. Elsevier, Vol. 261-262, pp. 39–55.   edoc
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2013) “On multilevel quadrature for elliptic stochastic partial differential equations”, in Sparse grids and applications. Berlin-Heidelberg: Springer, pp. 161–179.   edoc
Griebel, M. and Harbrecht, H. (2013) “On the construction of sparse tensor product spaces”, Mathematics of computation. American Mathematical Society, Vol. 82, H. 282, pp. 975–994.   edoc
Harbrecht, H. and Tausch, J. (2013) “On the numerical solution of a shape optimization problem for the heat equation”, SIAM journal on scientific computing. SIAM, Vol. 35, H. 1 , A104-A121.   edoc
Harbrecht, H., Wendland, W. L. and Zorii, N. (2012) “Riesz minimal energy problems on $C^{k−1,1}$-manifolds”. Universität Basel (Preprints Fachbereich Mathematik, 2012).   edoc | Open Access
Harbrecht, H. (2012) “Second moment analysis for Robin boundary value problems on random domains”. Universität Basel (Preprints Fachbereich Mathematik, 2012).   edoc | Open Access
Buffa, A., Harbrecht, H., Kunoth, A. and Sangalli, G. (2012) “BPX-Preconditioning for Isogeometric Analysis”. Universität Basel (Preprints Fachbereich Mathematik, 2012).   edoc | Open Access
Eppler, K. and Harbrecht, H. (2012) “On a Kohn-Vogelius like formulation of free boundary problems”, Computational Optimization and Applications. Springer, 52(1), pp. 69–85. doi: 10.1007/s10589-010-9345-3.   edoc
Harbrecht, H. (2012) “Preconditioning of wavelet BEM by the incomplete Cholesky factorization”, Computing and visualization in science. Springer, Vol. 15, H. 6 , S. 319-329. doi: 10.1007/s00791-014-0217-8.   edoc | Open Access
Eppler, K. and Harbrecht, H. (2012) “Shape optimization for free boundary problems : analysis and numerics”, in Constrained Optimization and Optimal Control for Partial Differential Equations. Basel: Springer Basel (International Series of Numerical Mathematics), pp. 277–288. doi: 10.1007/978-3-0348-0133-1_15.   edoc
Harbrecht, H., Wendland, W. L. and Zorii, N. (2012) “On Riesz minimal energy problems”, Journal of mathematical analysis and applications. Elsevier, Vol. 393, H. 2 , S. 397–412.   edoc
Harbrecht, H., Peters, M. and Schneider, R. (2012) “On the low-rank approximation by the pivoted Cholesky decomposition”, Applied numerical mathematics. Elsevier, Vol. 62, H. 4, pp. 428–440.   edoc
Harbrecht, H., Peters, M. and Siebenmorgen, M. (2011) “On multilevel quadrature for elliptic stochastic partial differential equations”. Universität Basel (Preprints Fachbereich Mathematik, 2011).   edoc | Open Access
Harbrecht, H. (2011) “Shape optimization for free boundary problems”. European Mathematical Society Publishing House. Available at: http://www.ems-ph.org/journals/show_pdf.php?issn=1660-8933&vol=8&iss=1&rank=5.   edoc
Harbrecht, H. and Tausch, J. (2011) “An efficient numerical method for a shape-identification problem arising from the heat equation”, Inverse problems. IOP Publ, Vol. 27, H. 6 , 065013. doi: 10.1088/0266-5611/27/6/065013.   edoc
Harbrecht, H. and Randrianarivony, M. (2011) “Wavelet BEM on molecular surfaces: solvent excluded surfaces”, Computing. Springer, Vol. 92, H. 4, pp. 335–364.   edoc
Harbrecht, H. and Schwab, C. (2011) “Sparse tensor finite elements for elliptic multiple scale problems”, Computer methods in applied mechanics and engineering. Elsevier, Vol. 200, H. 45-46, pp. 3100–3110.   edoc
Harbrecht, H. (2011) “On analytical derivatives for geometry optimization in the polarizable continuum model”, Journal of mathematical chemistry. J.C. Baltzer, Vol. 49, H. 9, pp. 1928–1936. doi: 10.1007/s10910-011-9865-9.   edoc