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Frames for the Solution of Operator Equations in Hilbert Spaces with Fixed Dual Pairing

Balazs, Peter ; Harbrecht, Helmut

Numerical Functional Analysis and Optimization, 02 January 2019, Vol.40(1), pp.65-84 [Peer Reviewed Journal]

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Wavelet formulation of the polarizable continuum model. II. Use of piecewise bilinear boundary elements

Bugeanu, Monica ; Di Remigio, Roberto ; Mozgawa, Krzysztof ; Reine, Simen Sommerfelt ; Harbrecht, Helmut ; Frediani, Luca

Physical Chemistry Chemical Physics, 2015, Vol.17(47), pp.31566-31581 [Peer Reviewed Journal]

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On analytical derivatives for geometry optimization in the polarizable continuum model

Harbrecht, Helmut

Journal of Mathematical Chemistry, 2011, Vol.49(9), pp.1928-1936 [Peer Reviewed Journal]

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Preconditioning of wavelet BEM by the incomplete Cholesky factorization

Harbrecht, Helmut

Computing and Visualization in Science, 2012, Vol.15(6), pp.319-329 [Peer Reviewed Journal]

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Mathematical analysis of the transmission dynamics of the liver fluke, Opisthorchis viverrini

Bürli, Christine ; Harbrecht, Helmut ; Odermatt, Peter ; Sayasone, Somphou ; Chitnis, Nakul

Journal of Theoretical Biology, 14 February 2018, Vol.439, pp.181-194 [Peer Reviewed Journal]

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A finite element method for elliptic problems with stochastic input data

Harbrecht, Helmut

Applied Numerical Mathematics, 2010, Vol.60(3), pp.227-244 [Peer Reviewed Journal]

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Approximation of bi-variate functions: singular value decomposition versus sparse grids

Griebel, Michael ; Harbrecht, Helmut

Ima Journal of Numerical Analysis, 2014, Vol. 34(1), pp.28-54 [Peer Reviewed Journal]

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Improved trial methods for a class of generalized Bernoulli problems

Harbrecht, Helmut ; Mitrou, Giannoula

Journal of Mathematical Analysis and Applications, 01 December 2014, Vol.420(1), pp.177-194 [Peer Reviewed Journal]

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On a Kohn-Vogelius like formulation of free boundary problems

Eppler, Karsten ; Harbrecht, Helmut

Computational Optimization and Applications, 2012, Vol.52(1), pp.69-85 [Peer Reviewed Journal]

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

Harbrecht, Helmut ; Tausch, Johannes

Numerische Mathematik, 2018, Vol.140(1), pp.239-264 [Peer Reviewed Journal]

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11
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Sparse tensor finite elements for elliptic multiple scale problems

Harbrecht, Helmut ; Schwab, Christoph

Computer Methods in Applied Mechanics and Engineering, 2011, Vol.200(45), pp.3100-3110 [Peer Reviewed Journal]

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Optimization of current carrying multicables

Harbrecht, Helmut ; Loos, Florian

Computational Optimization and Applications, 2016, Vol.63(1), pp.237-271 [Peer Reviewed Journal]

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An efficient numerical method for a shape-identification problem arising from the heat equation

Harbrecht, Helmut ; Tausch, Johannes

Inverse Problems, 2011, Vol.27(6), p.065013 (18pp) [Peer Reviewed Journal]

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

Harbrecht, Helmut ; Tausch, Johannes

SIAM Journal on Scientific Computing, 2013, Vol.35(1), pp.A.104-A.121 [Peer Reviewed Journal]

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A Note on the Construction of L -Fold Sparse Tensor Product Spaces

Griebel, Michael ; Harbrecht, Helmut

Constructive Approximation, 2013, Vol.38(2), pp.235-251 [Peer Reviewed Journal]

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The H2-wavelet method

Alm, Daniel ; Harbrecht, Helmut ; Krämer, Ulf

Journal of computational and applied mathematics, 2014, Vol.267(1), pp.131-159 [Peer Reviewed Journal]

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The second order perturbation approach for elliptic partial differential equations on random domains

Harbrecht, Helmut ; Peters, Michael D

Applied Numerical Mathematics, March 2018, Vol.125, pp.159-171 [Peer Reviewed Journal]

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On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems

Harbrecht, Helmut ; Zaspel, Peter

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

Harbrecht, Helmut ; Zaspel, Peter

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Multilevel Methods for Uncertainty Quantification of Elliptic PDEs with Random Anisotropic Diffusion

Harbrecht, Helmut ; Schmidlin, Marc

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