Preprints am Institut für Mathematik im Jahr 2022

Martin Kronbichler, Katharina Kormann, Niklas Fehn, Peter Munch and Julius Witte
A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators

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Bernd Schmidt and Jiří Zeman
A bending-torsion theory for thin and ultrathin rods as a Γ-limit of atomistic models

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Jan Blechschmidt, Jan-Frederik Pietschmann, Tom-Christian Riemer, Martin Stoll and Max Winkler
A comparison of PINN approaches for drift-diffusion equations on metric graphs

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Bernd Schmidt and Jiří Zeman
A continuum model for brittle nanowires derived from an atomistic description by Γ-convergence

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Robert Altmann and Christoph Zimmer
Dissipation-preserving discretization of the Cahn-Hilliard equation with dynamic boundary conditions

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Chengcheng Ling and Michael Scheutzow
Expansion and attraction of RDS: long time behavior of the solution to singular SDE

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Markus Heydenreich, Remco van der Hofstad, Günter Last and Kilian Matzke
Lace expansion and mean-field behavior for the random connection model

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Kai Bergmann, Carsten Deibel, Roland Herzog, Roderick C. I. Mackenzie, Jan-Frederik Pietschmann and Martin Stoll
Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors

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Markus Heydenreich, Lorenzo Taggi and Niccolo Torri
Prudent walk in dimension six and higher

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Francesca Bonizzoni, Philip Freese and Daniel Peterseim
Super-localized orthogonal decomposition for convection-dominated diffusion problems

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Matthew Dickson and Markus Heydenreich
The triangle condition for the marked random connection model

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