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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Peter Munch, Timo Heister, Laura Prieto Saavedra and Martin Kronbichler
Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations

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Johannes Heinz, Peter Munch and Manfred Kaltenbacher
High-order non-conforming discontinuous Galerkin methods for the acoustic conservation equations

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Mareike Dressler, André Uschmajew and Venkat Chandrasekaran
Kronecker product approximation of operators in spectral norm via alternating SDP

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Nina Lebedeva and Artem Nepechiy
Locally homogeneous C⁰-Riemannian manifolds

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Daniel Balzani, Maximilian Köhler, Timo Neumeier, Malte A. Peter and Daniel Peterseim
Multidimensional rank-one convexification of incremental damage models at finite strains

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Fabian Kröpfl, Roland Maier and Daniel Peterseim
Neural network approximation of coarse-scale surrogates in numerical homogenization

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Georg Heinze, Jan-Frederik Pietschmann and Markus Schmidtchen
Nonlocal cross-interaction systems on graphs: energy landscape and dynamics

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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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Maximilian Köhler, Timo Neumeier, Daniel Peterseim, Malte A. Peter and Daniel Balzani
Relaxed incremental formulations for damage at finite strains including strain softening

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Peter Munch, Ivo Dravins, Martin Kronbichler and Maya Neytcheva
Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit

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

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