Helmut Harbrecht
Orcid: 0000-0003-0093-5706
According to our database1,
Helmut Harbrecht
authored at least 88 papers
between 2002 and 2025.
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Bibliography
2025
CoRR, April, 2025
Shape Optimization under Constraints on the Probability of a Quadratic Functional to Exceed a Given Threshold.
SIAM/ASA J. Uncertain. Quantification, 2025
J. Comput. Phys., 2025
J. Comput. Appl. Math., 2025
2024
Eng. Comput., December, 2024
Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction.
Adv. Comput. Math., October, 2024
Numerische Mathematik, June, 2024
SIAM J. Imaging Sci., March, 2024
Numerische Mathematik, February, 2024
Samplet Basis Pursuit: Multiresolution Scattered Data Approximation With Sparsity Constraints.
IEEE Trans. Signal Process., 2024
SIAM/ASA J. Uncertain. Quantification, 2024
Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation.
CoRR, 2024
CoRR, 2024
2023
Space-time Multilevel Quadrature Methods and their Application for Cardiac Electrophysiology.
SIAM/ASA J. Uncertain. Quantification, December, 2023
Comput. Methods Appl. Math., April, 2023
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness.
Math. Comput., February, 2023
Found. Comput. Math., February, 2023
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs.
CoRR, 2023
2022
A Wavelet-Based Approach for the Simulation and Optimal Control of NonLocal Operator Equations.
SIAM J. Sci. Comput., August, 2022
On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem.
SIAM J. Control. Optim., 2022
2021
Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control.
SIAM J. Control. Optim., 2021
On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation.
SIAM J. Control. Optim., 2021
J. Comput. Phys., 2021
2020
Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation.
SoftwareX, 2020
Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains.
SIAM J. Numer. Anal., 2020
Multiscale Model. Simul., 2020
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering.
CoRR, 2020
2019
SIAM J. Matrix Anal. Appl., 2019
SIAM J. Appl. Math., 2019
On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems.
J. Sci. Comput., 2019
J. Math. Imaging Vis., 2019
2018
A fast sparse grid based space-time boundary element method for the nonstationary heat equation.
Numerische Mathematik, 2018
Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains.
J. Comput. Phys., 2018
A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters.
CoRR, 2018
Proceedings of the 13th Annual International Conference of the Alliance of Digital Humanities Organizations, 2018
2017
ℋ-Matrix Based Second Moment Analysis for Rough Random Fields and Finite Element Discretizations.
SIAM J. Sci. Comput., 2017
SIAM J. Numer. Anal., 2017
Covariance regularity and \(\mathcal {H}\) -matrix approximation for rough random fields.
Numerische Mathematik, 2017
On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion.
Math. Comput., 2017
Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness.
J. Comput. Phys., 2017
Proceedings of the 12th Annual International Conference of the Alliance of Digital Humanities Organizations, 2017
2016
Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness.
SIAM J. Numer. Anal., 2016
Analysis of the domain mapping method for elliptic diffusion problems on random domains.
Numerische Mathematik, 2016
Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient.
SIAM/ASA J. Uncertain. Quantification, 2016
2015
Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides.
SIAM J. Control. Optim., 2015
Numer. Linear Algebra Appl., 2015
J. Sci. Comput., 2015
2014
2013
SIAM J. Sci. Comput., 2013
Combination technique based k-th moment analysis of elliptic problems with random diffusion.
J. Comput. Phys., 2013
2012
Comput. Vis. Sci., 2012
Comput. Optim. Appl., 2012
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012
2011
2010
2009
SIAM J. Control. Optim., 2009
Computing, 2009
2008
Numerische Mathematik, 2008
Computing, 2008
2007
Math. Comput., 2007
Adaptive methods for boundary integral equations: Complexity and convergence estimates.
Math. Comput., 2007
2006
Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature.
SIAM J. Sci. Comput., 2006
Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates.
SIAM J. Numer. Anal., 2006
2003
Optim. Methods Softw., 2003
Self-regularization by projection for noisy pseudodifferential equations of negative order.
Numerische Mathematik, 2003
Numer. Linear Algebra Appl., 2003
2002
Numerische Mathematik, 2002