Items where Division is "05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)"
Number of items at this level: 205. AAlassi, 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. Alm, Daniel and Harbrecht, Helmut and Krämer, Ulf. (2014) The H2-wavelet method. Journal of computational and applied mathematics, Vol. 267. pp. 131-159. Alm, Daniel and Harbrecht, Helmut and Krämer, Ulf. (2013) The H2-wavelet method. Preprints Fachbereich Mathematik, 2013 (17). BBrügger, Rahel and Harbrecht, Helmut. (2022) On the reformulation of the Classical Stefan problem as a shape optimization problem. SIAM Journal on Control and Optimization (SICON), 60 (1). pp. 310-329. Brügger, Rahel and Harbrecht, Helmut and Tausch, Johannes. (2022) Boundary integral operators for the heat equation. Integral Equations and Operator Theory, 94 (2). p. 10. Bader, Seif Ben and Harbrecht, Helmut and Krause, Rolf and Multerer, Michael and Quaglino, Alessio and Schmidlin, Marc. (2021) Space-time multilevel quadrature methods and their application for cardiac electrophysiology. Preprints Fachbereich Mathematik, 2021 (13). Brügger, Rahel and Harbrecht, Helmut. (2021) On the reformulation of the classical Stefan problem as a shape optimization problem. Preprints Fachbereich Mathematik, 2021 (08). Brügger, R. C. . Shape Optimization for Time-dependent Domains. 2021, Doctoral Thesis, University of Basel, Faculty of Science. 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. 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). 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). 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). 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. Bugeanu, Monica and Harbrecht, Helmut. (2019) Parametric representation of molecular surfaces. International journal of quantum chemistry, 119. e25695. 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). Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2018) Solving a Bernoulli type free boundary problem with random diffusion. Preprints Fachbereich Mathematik, 2018 (09). 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. Bugeanu, Monica and Harbrecht, Helmut. (2018) Parametric representation of molecular surfaces. Preprints Fachbereich Mathematik, 2018 (04). 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. 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. Ballani, Jonas and Kressner, Daniel and Peters, Michael D.. (2017) Multilevel tensor approximation of PDEs with random data. Stochastics and Partial Differential Equations, 5 (3). pp. 400-427. Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2017) Solving a free boundary problem with non-constant coefficients. Preprints Fachbereich Mathematik, 2017 (13). Bugeanu, Monica. The Wavelet Galerkin method for the polarizable continuum model in quantum chemistry. 2017, Doctoral Thesis, University of Basel, Faculty of Science. 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). Ballani, Jonas and Kressner, Daniel and Peters, Michael. (2016) Multilevel tensor approximation of PDEs with random data. Preprints Fachbereich Mathematik, 2016 (12). 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). 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). 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. 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 Harbrecht, Helmut. (2014) A second order convergent trial method for free boundary problems in three dimensions. Preprints Fachbereich Mathematik, 2014 (14). 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. Buffa, Annalisa and Harbrecht, Helmut and Kunoth, Angela and Sangalli, Giancarlo. (2012) BPX-Preconditioning for Isogeometric Analysis. Preprints Fachbereich Mathematik, 2012 (12). CCaubet, 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. 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). DDambrine, Marc and Gargantini, Giulio and Harbrecht, Helmut and Maynadier, Jérôme. (2023) Shape optimization under constraints on the probability of a quadratic functional to exceed a given treshold. Preprints Fachbereich Mathematik, 2023 (13). Dambrine, Marc and Harbrecht, Helmut and Puig, Benedicte. (2023) Bernoulli free boundary problems under uncertainty: the convex case. Computational Methods in Applied Mathematics, 23 (2). pp. 333-352. Dambrine, M. and Harbrecht, H. and Puig, B.. (2022) Bernoulli free boundary problems under uncertainty: the convex case. Preprints Fachbereich Mathematik, 2022 (04). Dölz, Jürgen and Harbrecht, Helmut and Jerez-Hanckes, Carlos and Multerer, Michael. (2022) Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. Computer Methods in Applied Mechanics and Engineering, 388. p. 114242. 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). 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. 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). 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. Dölz, Jürgen and Harbrecht, Helmut and Multerer, Michael D.. (2018) On the best approximation of the hierarchical matrix product. Preprints Fachbereich Mathematik, 2018 (10). 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. 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. 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. 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. 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. Dambrine, Marc and Harbrecht, Helmut and Puig, Benedicte. (2017) Incorporating knowledge on the measurement noise in electrical impedance tomography. Preprints Fachbereich Mathematik, 2017 (14). Dölz, Jürgen. Hierarchical matrix techniques for partial differential equations with random input data. 2017, Doctoral Thesis, University of Basel, Faculty of Science. 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). 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). 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. 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. 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). 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. 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). 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. 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. 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). 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) 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 accelerated second moment analysis for potentials with rough correlation. Journal of scientific computing, Vol. 65, H. 1. pp. 387-410. 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). 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). 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 Peters, Michael. (2014) H-matrix accelerated second moment analysis for potentials with rough correlation. Preprints Fachbereich Mathematik, 2014 (03). Dölz, Jürgen and Harbrecht, Helmut and Schwab, Christoph. (2014) Covariance regularity and H-matrix approximation for rough random fields. Preprints Fachbereich Mathematik, 2014 (11). EEppler, 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. 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. 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. FFelber, Luzia N. and Harbrecht, Helmut and Schmidlin, Marc. (2023) Identification of sparsely representable diffusion parameters in elliptic problems. Preprints Fachbereich Mathematik, 2023 (03). 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. GGleichmann, Yannik Gerald. Adaptive spectral inversion for inverse medium problems. 2023, Doctoral Thesis, University of Basel, Faculty of Science. Griebel, Michael and Harbrecht, Helmut. (2023) Analysis of tensor approximation schemes for continuous functions. Foundations of Computational Mathematics, 23 (1). pp. 219-240. Griebel, Michael and Harbrecht, Helmut and Schneider, Reinhold. (2023) Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Mathematics of Computation, 92 (342). pp. 1729-1746. Griebel, Michael and Harbrecht, Helmut and Schneider, Reinhold. (2022) Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness. Preprints Fachbereich Mathematik, 2022 (06). 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. 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. Griebel, Michael and Rieger, Christian and Zaspel, Peter. (2019) Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations. International Journal for Uncertainty Quantification, 9 (5). pp. 471-492. Gantner, Robert N. and Peters, Michael D.. (2018) Higher-Order Quasi-Monte Carlo for Bayesian Shape Inversion. SIAM/ASA Journal on Uncertainty Quantification, 6 (2). pp. 707-736. Garcke, Jochen and Kalmykov, Ilja. (2018) Efficient Higher Order Time Discretization Schemes For Hamilton-Jacobi-Bellman Equations Based On Diagonally Implicit Symplectic Runge-Kutta Methods. In: Hamilton-Jacobi-Bellman Equations. Numerical Methods and Applications in Optimal Control, 21. Berlin-Bosten, pp. 97-128. Garcke, Jochen and Kalmykov, Ilja. (2017) Efficient Higher Order Time Discretization Schemes for Hamilton-Jacobi-Bellman Equations Based on Diagonally Implicit Symplectic Runge-Kutta Methods. Preprints Fachbereich Mathematik, 2017 (09). Griebel, Michael and Harbrecht, Helmut. (2017) Singular value decomposition versus sparse grids. Refined complexity estimates. Preprints Fachbereich Mathematik, 2017 (08). Gantner, Robert N. and Peters, Michael. (2016) Higher order quasi-Monte Carlo for Bayesian shape inversion. Preprints Fachbereich Mathematik, 2016 (18). 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. 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). 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. 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. Graff, Lavinia. A stochastic algorithm for the identification of solution spaces in high-dimensional design spaces. 2013, Doctoral Thesis, University of Basel, Faculty of Science. 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). 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. Griebel, Michael and Harbrecht, Helmut. (2013) On the construction of sparse tensor product spaces. Mathematics of computation, Vol. 82, H. 282. pp. 975-994. Griebel, Michael and Harbrecht, Helmut. (2013) On the convergence of the combination technique. Preprints Fachbereich Mathematik, 2013 (07). Griebel, Michael and Zaspel, Peter. (2010) A multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations. Computer Science - Research and Development, 25. pp. 65-73. HHarbrecht, Helmut and Kalmykov, Ilja. (2024) Sparse grid approximation of the Riccati equation. Preprints Fachbereich Mathematik, 2024 (01). Harbrecht, Helmut and Karnaev, Viacheslav and Schmidlin, Marc. (2023) Quantifying domain uncertainty in linear elasticity. Preprints Fachbereich Mathematik, 2023 (06). Harbrecht, Helmut and von Rickenbach, Remo. (2023) Compression of boundary integral operators discretized by anisotropic wavelet bases. Preprints Fachbereich Mathematik, 2023 (04). Harbrecht, Helmut and Multerer, Michael. (2022) Samplets: Construction and scattered data compression. Preprints Fachbereich Mathematik, 2022 (05). Harbrecht, Helmut and Multerer, Michael and von Rickenbach, Remo. (2022) Isogeometric shape optimization of periodic structures in three dimensions. Computer Methods in Applied Mechanics and Engineering, 391. p. 114552. Harbrecht, Helmut and Schmidlin, Marc. (2022) Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. Stochastics and Partial Differential Equations, 10. pp. 1619-1650. Harbrecht, Helmut and Fallahpour, Merlin. (2021) Shape optimization for composite materials in linear elasticity. Preprints Fachbereich Mathematik, 2021 (21). 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. Harbrecht, Helmut and Kalmykov, Ilja. (2021) Sparse grid approximation of the Riccati operator for closed loop parabolic control problems with Dirichlet boundary control. SIAM Journal on Control and Optimization (SICON), 59 (6). pp. 4538-4562. 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 Multerer, Michael. (2020) A fast direct solver for nonlocal operators in wavelet coordinates. Preprints Fachbereich Mathematik, 2020 (04). Harbrecht, Helmut. (2020) A wavelet-based approach for the optimal control of nonlocal operator equations. Oberwolfach Reports, 17 (5). pp. 326-329. 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. Harbrecht, Helmut and Tröndle, Dennis and Zimmermann, Markus. (2019) Approximating solution spaces as a product of polygons. Preprints Fachbereich Mathematik, 2019 (13). 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). Harbrecht, Helmut. (2019) About a fast isogeometric boundary element method. Oberwolfach Reports, 16 (33). pp. 1997-2000. 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. 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. 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. 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. 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). Harbrecht, Helmut and Moor, Manuela. (2018) Wavelet boundary element methods – Adaptivity and goal-oriented error estimation. Preprints Fachbereich Mathematik, 2018 (07). 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. Harbrecht, Helmut. (2018) Shape optimization under uncertainty. Oberwolfach Reports, 15 (3). pp. 2350-2352. 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. 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 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. Harbrecht, Helmut and Utzinger, Manuela. (2018) On adaptive wavelet boundary element methods. Journal of Computational Mathematics, 36 (1). pp. 90-109. 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. 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). Harbrecht, Helmut. (2017) Novel results for the anisotropic sparse grid quadrature. Oberwolfach Reports, 2017 (17). pp. 1023-1026. Harbrecht, Helmut. (2017) On shape optimization with parabolic state equation. Oberwolfach Reports, 2017 (4). pp. 184-185. 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. 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. 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. Harbrecht, Helmut and Schmidlin, Marc. (2017) Multilevel Methods for Uncertainty Quantification of Elliptic PDEs with Random Anisotropic Diffusion. Preprints Fachbereich Mathematik, 2017 (07). Harbrecht, Helmut. (2016) On fast boundary element methods for parametric surfaces. Oberwolfach Reports, 13 (1). pp. 355-356. 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. Harbrecht, Helmut and Peters, Michael and Schmidlin, Marc. (2016) Uncertainty quantification for PDEs with anisotropic random diffusion. Preprints Fachbereich Mathematik, 2016 (14). 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. 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 Schneider, Reinhold. (2016) A note on multilevel based error estimation. Preprints Fachbereich Mathematik, 2016 (03). 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 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. 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. (2015) Sparse BEM for the heat equation. Oberwolfach Reports, 2015 (2). pp. 124-126. 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. (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). 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. Harbrecht, Helmut and Utzinger, Manuela. (2015) On adaptive wavelet boundary element methods. Preprints Fachbereich Mathematik, 2015 (42). Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2015) Minimal energy problems for strongly singular Riesz kernels. Preprints Fachbereich Mathematik, 2015 (41). 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. 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. Harbrecht, Helmut and Peters, Michael. (2014) Combination technique based second moment analysis for elliptic PDEs on random domains. Preprints Fachbereich Mathematik, 2014 (19). Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2014) Efficient approximation of random fields for numerical applications. Preprints Fachbereich Mathematik, 2014 (01). 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 Tausch, Johannes. (2014) On shape optimization with parabolic state equation. In: Trends in PDE constrained optimization. Basel, pp. 213-229. Harbrecht, Helmut and Wendland, Wolfgang L. and Zorii, Natalia. (2014) Rapid solution of minimal Riesz energy problems. Preprints Fachbereich Mathematik, 2014 (09). 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. 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 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. Harbrecht, Helmut and Loos, Florian. (2013) Optimization of current carrying multicables. Preprints Fachbereich Mathematik, 2013 (16). Harbrecht, Helmut and Mitrou, Giannoula. (2013) Improved trial methods for a class of generalized Bernoulli problems. Preprints Fachbereich Mathematik, 2013 (22). 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). 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. Harbrecht, Helmut and Peters, Michael. (2013) Comparison of fast boundary element methods on parametric surfaces. Preprints Fachbereich Mathematik, 2013 (01). 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 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 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 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). Harbrecht, Helmut and Tausch, Johannes. (2013) On shape optimization with parabolic state equation. Preprints Fachbereich Mathematik, 2013 (23). 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. Harbrecht, Helmut. (2012) Preconditioning of wavelet BEM by the incomplete Cholesky factorization. Computing and visualization in science, Vol. 15, H. 6 , S. 319-329. Harbrecht, Helmut. (2012) Second moment analysis for Robin boundary value problems on random domains. Preprints Fachbereich Mathematik, 2012 (13). 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. 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. (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. (2011) Shape optimization for free boundary problems. Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2011) On multilevel quadrature for elliptic stochastic partial differential equations. Preprints Fachbereich Mathematik, 2011 (01). 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 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 Tausch, Johannes. (2011) An efficient numerical method for a shape-identification problem arising from the heat equation. Inverse problems, Vol. 27, H. 6 , 065013. MMitrou, Giannoula. Trial methods for Bernoulli's free boundary problem. 2014, Doctoral Thesis, University of Basel, Faculty of Science. PPeters, Michael. Numerical methods for boundary value problems on random domains. 2014, Doctoral Thesis, University of Basel, Faculty of Science. Pflueger, Dirk and Bungartz, Hans-Joachim and Griebel, Michael and Jenko, Frank and Dannert, Tilman and Heene, Mario and Kowitz, Christoph and Hinojosa, Alfredo Parra and Zaspel, Peter. (2014) EXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond. In: Lecture Notes in Computer Science, 8806. Berlin, pp. 565-576. SSiebenmorgen, Markus. Quadrature methods for elliptic PDEs with random diffusion. 2015, Doctoral Thesis, University of Basel, Faculty of Science. TTröndle, Dennis Thassilo. Computation of generalized solution spaces. 2020, Doctoral Thesis, University of Basel, Faculty of Science. UUtzinger, Manuela. An adaptive wavelet method for the solution of boundary integral equations in three dimensions. 2016, Doctoral Thesis, University of Basel, Faculty of Science. Utzinger, Manuela and Harbrecht, Helmut. (2015) Adaptive Wavelet BEM. Mathematisches Forschungsinstitut Oberwolfach Report, (2). pp. 172-175. VVogt, 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. ZZaspel, Peter. (2019) Algorithmic patterns for H matrices on many-core processors. Journal of scientific computing, 78 (2). pp. 1174-1206. Zaspel, Peter. (2019) Ensemble Kalman filters for reliability estimation in perfusion inference. International Journal for Uncertainty Quantification, 9 (1). pp. 15-32. 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. Zaspel, Peter Eberhard. (2017) Algorithmic patterns for H-matrices on many-core processors. Preprints Fachbereich Mathematik, 2017 (12). Zaspel, Peter Eberhard. (2017) Analysis and parallelizationstrategies for Ruge-Stüben AMGon many-core processors. Preprints Fachbereich Mathematik, 2017 (06). Zaspel, Peter Eberhard. (2017) Ensemble Kalman filters for reliability estimation in perfusion inference. Preprints Fachbereich Mathematik, 2017 (04). Zaspel, Peter. (2016) Subspace correction methods in algebraic multi-level frames. Linear Algebra and its Applications , 488. pp. 505-521. Zaspel, Peter and Griebel, Michael. (2013) Solving incompressible two-phase flows on multi-GPU clusters. Computers & Fluids, 80. pp. 356-364. Zaspel, Peter and Griebel, Michael. (2011) Massively Parallel Fluid Simulations on Amazon's HPC Cloud. In: 2011 First International Symposium on Network Cloud Computing and Applications. pp. 73-78. Zaspel, Peter and Griebel, Michael. (2011) Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver. Computing and Visualization in Science, 14 (8). pp. 371-383. |
