Helmut Harbrecht

Eng. Comput., December, 2024

Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction.

[BibT_eX]

[DOI]

Adv. Comput. Math., October, 2024

Compression of boundary integral operators discretized by anisotropic wavelet bases.

[BibT_eX]

[DOI]

Remo von Rickenbach

Numerische Mathematik, June, 2024

Multiresolution kernel matrix algebra.

[BibT_eX]

[DOI]

Numerische Mathematik, June, 2024

Identification of Sparsely Representable Diffusion Parameters in Elliptic Problems.

[BibT_eX]

[DOI]

Luzia N. Felber

SIAM J. Imaging Sci., March, 2024

Uncertainty quantification for random domains using periodic random variables.

[BibT_eX]

[DOI]

Numerische Mathematik, February, 2024

Samplet Basis Pursuit: Multiresolution Scattered Data Approximation With Sparsity Constraints.

[BibT_eX]

[DOI]

Davide Baroli

IEEE Trans. Signal Process., 2024

Quantifying Domain Uncertainty in Linear Elasticity.

[BibT_eX]

[DOI]

Viacheslav Karnaev

SIAM/ASA J. Uncertain. Quantification, 2024

On Quasi-Localized Dual Pairs in Reproducing Kernel Hilbert Spaces.

[BibT_eX]

[DOI]

Rüdiger Kempf

CoRR, 2024

Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation.

[BibT_eX]

[DOI]

Marco Zank

CoRR, 2024

The dimension weighted fast multipole method for scattered data approximation.

[BibT_eX]

[DOI]

Jacopo Quizi

CoRR, 2024

2023

Space-time Multilevel Quadrature Methods and their Application for Cardiac Electrophysiology.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, December, 2023

Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case.

[BibT_eX]

[DOI]

Bénédicte Puig

Comput. Methods Appl. Math., April, 2023

Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness.

[BibT_eX]

[DOI]

Math. Comput., February, 2023

Analysis of Tensor Approximation Schemes for Continuous Functions.

[BibT_eX]

[DOI]

Found. Comput. Math., February, 2023

The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs.

[BibT_eX]

[DOI]

CoRR, 2023

Samplet basis pursuit.

[BibT_eX]

[DOI]

Davide Baroli

CoRR, 2023

2022

A Wavelet-Based Approach for the Simulation and Optimal Control of NonLocal Operator Equations.

[BibT_eX]

[DOI]

Stephan Dahlke

Thomas M. Surowiec

SIAM J. Sci. Comput., August, 2022

On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem.

[BibT_eX]

[DOI]

Rahel Brügger

SIAM J. Control. Optim., 2022

Samplets: Construction and scattered data compression.

[BibT_eX]

[DOI]

J. Comput. Phys., 2022

2021

Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control.

[BibT_eX]

[DOI]

Ilja Kalmykov

SIAM J. Control. Optim., 2021

On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation.

[BibT_eX]

[DOI]

Rahel Brügger

Johannes Tausch

SIAM J. Control. Optim., 2021

A fast direct solver for nonlocal operators in wavelet coordinates.

[BibT_eX]

[DOI]

J. Comput. Phys., 2021

Samplets: A new paradigm for data compression.

[BibT_eX]

[DOI]

CoRR, 2021

Isogeometric shape optimization for scaffold structures.

[BibT_eX]

[DOI]

Remo von Rickenbach

CoRR, 2021

2020

Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation.

[BibT_eX]

[DOI]

SoftwareX, 2020

Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2020

Shape Optimization for Composite Materials and Scaffold Structures.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2020

Isogeometric multilevel quadrature for forward and inverse random acoustic scattering.

[BibT_eX]

[DOI]

CoRR, 2020

2019

On the Best Approximation of the Hierarchical Matrix Product.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2019

A New Method for the Data Completion Problem and Application to Obstacle Detection.

[BibT_eX]

[DOI]

Fabien Caubet

SIAM J. Appl. Math., 2019

On the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems.

[BibT_eX]

[DOI]

Peter Zaspel

J. Sci. Comput., 2019

Error-Controlled Model Approximation for Gaussian Process Morphable Models.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2019

2018

A fast sparse grid based space-time boundary element method for the nonstationary heat equation.

[BibT_eX]

[DOI]

Johannes Tausch

Numerische Mathematik, 2018

Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains.

[BibT_eX]

[DOI]

J. Comput. Phys., 2018

Novel results for the anisotropic sparse grid quadrature.

[BibT_eX]

[DOI]

Abdul-Lateef Haji-Ali

J. Complex., 2018

A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters.

[BibT_eX]

[DOI]

Peter Zaspel

CoRR, 2018

A Digital Edition of Leonhard Euler's Correspondence with Christian Goldbach.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2017

Uncertainty Quantification for PDEs with Anisotropic Random Diffusion.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2017

Covariance regularity and \(\mathcal {H}\) -matrix approximation for rough random fields.

[BibT_eX]

[DOI]

Numerische Mathematik, 2017

On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion.

[BibT_eX]

[DOI]

Math. Comput., 2017

Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness.

[BibT_eX]

[DOI]

J. Comput. Phys., 2017

Integrating historical scientific texts into the Bernoulli-Euler Online platform.

[BibT_eX]

[DOI]

Tobias Julius Schweizer

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.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2016

Analysis of the domain mapping method for elliptic diffusion problems on random domains.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2016

Optimization of current carrying multicables.

[BibT_eX]

[DOI]

Florian Loos

Comput. Optim. Appl., 2016

A Note on Multilevel Based Error Estimation.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2016

2015

Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides.

[BibT_eX]

[DOI]

Charles Dapogny

SIAM J. Control. Optim., 2015

Efficient approximation of random fields for numerical applications.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2015

ℋ-matrix Accelerated Second Moment Analysis for Potentials with Rough Correlation.

[BibT_eX]

[DOI]

J. Sci. Comput., 2015

2014

The H<sup>2</sup>-wavelet method.

[BibT_eX]

[DOI]

Daniel Alm

Ulf Krämer

J. Comput. Appl. Math., 2014

2013

On the Numerical Solution of a Shape Optimization Problem for the Heat Equation.

[BibT_eX]

[DOI]

Johannes Tausch

SIAM J. Sci. Comput., 2013

On the construction of sparse tensor product spaces.

[BibT_eX]

[DOI]

Math. Comput., 2013

Combination technique based k-th moment analysis of elliptic problems with random diffusion.

[BibT_eX]

[DOI]

J. Comput. Phys., 2013

2012

Preconditioning of wavelet BEM by the incomplete Cholesky factorization.

[BibT_eX]

[DOI]

Comput. Vis. Sci., 2012

On a Kohn-Vogelius like formulation of free boundary problems.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2012

Shape Optimization for Free Boundary Problems - Analysis and Numerics.

[BibT_eX]

[DOI]

Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2011

Wavelet BEM on molecular surfaces: solvent excluded surfaces.

[BibT_eX]

[DOI]

Computing, 2011

2010

Wavelet formulation of the polarizable continuum model.

[BibT_eX]

[DOI]

Ville Weijo

Luca Frediani

J. Comput. Chem., 2010

From Computer Aided Design to wavelet BEM.

[BibT_eX]

[DOI]

Comput. Vis. Sci., 2010

2009

Tracking Neumann Data for Stationary Free Boundary Problems.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2009

Wavelet BEM on molecular surfaces: parametrization and implementation.

[BibT_eX]

[DOI]

Computing, 2009

2008

Sparse second moment analysis for elliptic problems in stochastic domains.

[BibT_eX]

[DOI]

Numerische Mathematik, 2008

Multilevel frames for sparse tensor product spaces.

[BibT_eX]

[DOI]

Numerische Mathematik, 2008

A Newton method for Bernoulli's free boundary problem in three dimensions.

[BibT_eX]

[DOI]

Computing, 2008

A new fictitious domain method in shape optimization.

[BibT_eX]

[DOI]

Mario S. Mommer

Comput. Optim. Appl., 2008

Compact gradient tracking in shape optimization.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 2008

2007

On Convergence in Elliptic Shape Optimization.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2007

An optimal adaptive wavelet method without coarsening of the iterands.

[BibT_eX]

[DOI]

Tsogtgerel Gantumur

Rob P. Stevenson

Math. Comput., 2007

Adaptive methods for boundary integral equations: Complexity and convergence estimates.

[BibT_eX]

[DOI]

Wolfgang Dahmen

Math. Comput., 2007

2006

Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2006

Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates.

[BibT_eX]

[DOI]

Wolfgang Dahmen

SIAM J. Numer. Anal., 2006

Second-order shape optimization using wavelet BEM.

[BibT_eX]

[DOI]

Optim. Methods Softw., 2006

Coupling of FEM and BEM in Shape Optimization.

[BibT_eX]

[DOI]

Numerische Mathematik, 2006

Wavelets with patchwise cancellation properties.

[BibT_eX]

[DOI]

Rob P. Stevenson

Math. Comput., 2006

2003

Least Squares Methods for the Coupling of FEM and BEM.

[BibT_eX]

[DOI]

Gabriel N. Gatica

SIAM J. Numer. Anal., 2003

Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM.

[BibT_eX]

[DOI]

Optim. Methods Softw., 2003

Self-regularization by projection for noisy pseudodifferential equations of negative order.

[BibT_eX]

[DOI]

Sergei V. Pereverzev