Publications


2019

Vollmann, Christian ; Schulz, Volker

Exploiting multilevel Toeplitz structures in high dimensional nonlocal diffusion Journal Article

Computing and Visualization in Science, 2019, ISSN: 1433-0369.

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Siebenborn, Martin; Wagner, Julian

A Multigrid Preconditioner for Tensor Product Spline Smoothing Journal Article

arXiv preprint, 2019, (Submitted).

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Wagner, Julian

Optimization Methods and Large-Scale Algorithms in Small Area Estimation PhD Thesis

University of Trier, 2019.

BibTeX

Demir, I; Welker, Kathrin (Ed.)

Learning and Optimization Methods for Shape Abstractions Miscellaneous

2019.

BibTeX

Geiersbach, C; Loayza, E; Welker, Kathrin

Computational Aspects for Interface Identification Problems with Stochastic Modelling Miscellaneous

2019.

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Hauschild, Sarah-Alexa; Marheineke, Nicole; Mehrmann, Volker; Mohring, Jan; Badlyan, Arbi Moses; Rein, Markus; Schmidt, Martin

Port-Hamiltonian modeling of district heating networks Technical Report

2019.

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2018

Fuehr, Bjoern; Schulz, Volker; Welker, Kathrin

Shape optimization for interface identification with obstacle problems Journal Article

Vietnam Journal of Mathematics, Volume 46 (4), pp. 967–985, 2018.

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Schulz, Volker; Seck, D

Shape Optimization, Homogenization and Optimal Control, DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017 Book

Birkhaeuser, 2018.

BibTeX

Schenk, Christina

Modeling, Simulation and Optimization of Wine Fermentation PhD Thesis

2018.

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Vollmann, Christian; Schulz, Volker

Exploiting multilevel Toeplitz structures in high dimensional nonlocal diffusion Journal Article

Computing and Visualization in Science, 2018.

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Heidel, Gennadij; Schulz, Volker

A Riemannian trust‐region method for low‐rank tensor completion Journal Article

Numer. Linear Algebra Appl., 25 (6), pp. e2175, 2018.

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Heidel, Gennadij; Wathen, Andy

Preconditioning for boundary control problems in incompressible fluid dynamics Journal Article

Numer. Linear Algebra Appl., 26 (1), pp. e2218, 2018.

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Friedrich, Ulf; Münnich, Ralf; Rupp, Martin

Multivariate Optimal Allocation with Box-Constraints Journal Article

Austrian Journal of Statistics, 47 (2), pp. 33-52, 2018.

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Rupp, Martin

Optimization for Multivariate and Multi-domain Methods in Survey Statistics PhD Thesis

Universität Trier, 2018.

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Groetzner, Patrick

A Method for Completely Positive and Nonnegative Matrix Factorization PhD Thesis

University of Trier, 2018.

BibTeX

Welker, Ross Hubert Panotopoulou E E A K; Morin, G

Scaffolding a skeleton Incollection

et al., Gençtav A (Ed.): Research in Shape Analysis, pp. 17-35, Springer, 2018.

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Schulz, Volker; Welker, Kathrin

On optimization transfer operators in shape spaces Book Chapter

Schulz, V; Seck, D (Ed.): Shape Optimization, Homogenization and Optimal Control, 169 , pp. 259-275, Springer, 2018.

BibTeX

Welker, Kathrin

Suitable spaces for shape optimization Miscellaneous

2018.

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Groetzner, Patrick; Dür, Mirjam

A factorization method for completely positive matrices Journal Article

2018, (Preprint, submitted).

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2017

Wagner, Julian; Münnich, Ralf; Hill, Joachim; Stoffels, Johannes; Udelhoven, Thomas

Non-parametric small area models using shape-constrained penalized B-splines Journal Article

Journal of the Royal Statistical Society: Series A, 180 (4), pp. 1089-1109, 2017.

BibTeX

Schenk, Christina; Schulz, Volker; Rosch, Achim; von Wallbrunn, Christian

Less cooling energy in wine fermentation - A case study in mathematical modeling, simulation and optimization Journal Article

Food and Bioproducts Processing, 103 , pp. 131-138, 2017, ISSN: 0960-3085.

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Groetzner, Patrick; Dür, Mirjam

Factorizations for completely positive matrices based on projection approaches Journal Article

Oberwolfach Report, 52 , pp. 19-21, 2017.

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Siebenborn, Martin; Welker, Kathrin

Algorithmic Aspects of Multigrid Methods for Optimization in Shape Spaces Journal Article

SIAM Journal on Scientific Computing, 39 (6), 2017.

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Welker, Kathrin

Optimization in the space of smooth shapes Incollection

Nielsen, F; Barbaresco, F (Ed.): Geometric Science of Information volume = 10589, pp. 65-72, Springer, 2017.

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Berger, Franziska; Gritzmann, Peter; de Vries, Sven

Computing Cyclic Invariants for Molecular Graphs Journal Article

Networks, 70 (2), pp. 116–131, 2017.

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2016

Münnich, Ralf; Wagner, Julian; Hill, Joachim; Stoffels, Johannes; Buddenbaum, Hennig; Udelhoven, Thomas

Estimation of timber reserves using remote sensing data Journal Article

AStA Wirtschafts- und Sozialstatistisches Archiv, 10 , pp. 95-112, 2016.

BibTeX

Welker, Kathrin

Efficient PDE Constrained Shape Optimization in Shape Spaces PhD Thesis

Universitaet Trier, 2016.

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2015

Schulz, Volker ; Siebenborn, Martin ; Welker, Kathrin

Efficient PDE constrained shape optimization based on Steklov-Poincartextbackslash'e type metrics Journal Article

arXiv e-prints, pp. arXiv:1506.02244, 2015.

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Dür, Mirjam; Groetzner, Patrick

A factorization heuristic for completely positive matrices Journal Article

Oberwolfach Report, 46 , pp. 2721-2723, 2015.

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Schulz, Volker; Siebenborn, Martin; Welker, Kathrin

Structured Inverse Modeling in Parabolic Diffusion Problems Journal Article

SIAM J. Control and Optimization, 53 , pp. 3319-3338, 2015.

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Schulz, Volker; Siebenborn, Martin; Welker, Kathrin

Towards a Lagrange-Newton approach for PDE constrained shape optimization Book Chapter

Pratelli, A; Leugering, G (Ed.): Trends in PDE Constrained Shape Optimization, pp. 229-249, Springer, 2015.

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Schulz, Volker; Siebenborn, Martin; Welker, Kathrin

PDE constrained shape optimization as optimization on shape manifolds Incollection

Nielsen, F; Barbaresco, F (Ed.): Geometric Science of Information volume = 9389, pp. 499-508, Springer, 2015.

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2013

Welker, Kathrin

Riemannsche Metriken auf dem Raum der Formen PhD Thesis

Universitaet Trier, 2013.

BibTeX

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de Vries, Sven; Friedrich, Ulf; Raach, Stephen

Geometry of Gross Substitutes Valuations Journal Article

Discrete Applied Mathematics, pp. 15 pages, 0000.

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de Vries, Sven; Vohra, Rakesh V

Matroidal Approximations of Independence Systems Unpublished

0000.

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