| Geuken GL, Kurzeja P, Mosler J and Wiedemann D (2025), "Input convex neural networks: universal approximation theorem and implementation for isotropic polyconvex hyperelastic energies", ArXiv Preprint 2502.08534 submitted.
[BibTeX] [URL]
|
BibTeX:
@article{Geuken-Kurzeja-Mosler-Wiedemann-2025,
author = {Geuken, Gian - Luca and Kurzeja, P. and Mosler, J. and Wiedemann, D.},
title = {Input convex neural networks: universal approximation theorem and implementation for isotropic polyconvex hyperelastic energies},
journal = {ArXiv Preprint 2502.08534 submitted},
year = {2025},
url = {https://arxiv.org/abs/2502.08534}
}
|
| Schweizer B and Wiedemann D (2025), "Interface conditions for Maxwell's equations by homogenization of thin inclusions: transmission, reflection or polarization", ArXiv Preprint 2501.17713, submitted.
[BibTeX] [URL]
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BibTeX:
@article{Schweizer-Wiedemann-2025,
author = {Schweizer, Ben and Wiedemann, David},
title = {Interface conditions for Maxwell's equations by homogenization of thin inclusions: transmission, reflection or polarization},
journal = {ArXiv Preprint 2501.17713, submitted},
year = {2025},
url = {https://arxiv.org/abs/2501.17713}
}
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| Wiedemann D and Peter MA (2025), "A Darcy law with memory by homogenisation for evolving microstructure", Journal of Mathematical Analysis and Applications. Vol. 546(2), pp. 129222.
[BibTeX] [DOI]
|
BibTeX:
@article{Wiedemann-Peter-2024,
author = {Wiedemann, David and Peter, Malte A.},
title = {A Darcy law with memory by homogenisation for evolving microstructure},
journal = {Journal of Mathematical Analysis and Applications},
year = {2025},
volume = {546},
number = {2},
pages = {129222},
doi = {10.1016/j.jmaa.2025.129222}
}
|
| Gahn M, Peter MA, Pop IS and Wiedemann D (2024), "Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure", ArXiv Preprint 2404.01983, submitted.
[BibTeX] [URL]
|
BibTeX:
@article{Gahn-Peter-Pop-Wiedemann-2024,
author = {Gahn, Markus and Peter, Malte A. and Pop, Iuliu Sorin and Wiedemann, David},
title = {Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure},
journal = {ArXiv Preprint 2404.01983, submitted},
year = {2024},
url = {https://arxiv.org/abs/2404.01983}
}
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| Neumeier T, Peter MA, Peterseim D and Wiedemann D (2024), "Computational polyconvexification of isotropic functions", Multiscale Modeling & Simulation. Vol. 22(4), pp. 1402 - 1420.
[BibTeX] [DOI]
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BibTeX:
@article{Neumeier-Peter-Peterseim-Wiedemann-2024,
author = {Neumeier, T. and Peter, Malte A. and Peterseim, D. and Wiedemann, D.},
title = {Computational polyconvexification of isotropic functions},
journal = {Multiscale Modeling & Simulation},
year = {2024},
volume = {22},
number = {4},
pages = {1402 - 1420},
doi = {10.1137/23M1589773}
}
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| Wiedemann D (2024), "An effective advection induced by oscillating microstructure in a diffusion equation", ArXiv Preprint 2405.12108.
[BibTeX] [URL]
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BibTeX:
@article{Wiedemann-2024,
author = {Wiedemann, David},
title = {An effective advection induced by oscillating microstructure in a diffusion equation},
journal = {ArXiv Preprint 2405.12108},
year = {2024},
url = {https://arxiv.org/abs/2405.12108}
}
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| Wiedemann D and Peter MA (2024), "Homogenisation of the Stokes equations for evolving microstructure", Journal of Differential Equations. Vol. 396, pp. 172-209.
[BibTeX] [DOI]
|
BibTeX:
@article{MR5411390-Wiedemann-Peter-2024,
author = {Wiedemann, David and Peter, Malte A.},
title = {Homogenisation of the Stokes equations for evolving microstructure},
journal = {Journal of Differential Equations},
year = {2024},
volume = {396},
pages = {172--209},
doi = {10.1016/j.jde.2024.02.056}
}
|
| Wiedemann D (2023), "Analytical homogenisation of transport processes in evolving porous media" University of Augsburg, PhD thesis.
[BibTeX] [URL]
|
BibTeX:
@book{Wiedemann-2024,
author = {Wiedemann, David},
title = {Analytical homogenisation of transport processes in evolving porous media},
publisher = {University of Augsburg, PhD thesis},
year = {2023},
url = {https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-1125773}
}
|
| Wiedemann D (2023), "The two-scale-transformation method", Asymptotic Analysis. Vol. 131(1), pp. 59-82.
[BibTeX] [DOI]
|
BibTeX:
@article{MR4544874-Wiedemann-2023,
author = {Wiedemann, David},
title = {The two-scale-transformation method},
journal = {Asymptotic Analysis},
year = {2023},
volume = {131},
number = {1},
pages = {59--82},
doi = {https://content.iospress.com/articles/asymptotic-analysis/asy221766}
}
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| Wiedemann D and Peter MA (2023), "Characterization of polyconvex isotropic functions", ArXiv Preprint 2304.08385, submitted.
[BibTeX] [URL]
|
BibTeX:
@article{Wiedemann-Peter-2023,
author = {Wiedemann, David and Peter, Malte A.},
title = {Characterization of polyconvex isotropic functions},
journal = {ArXiv Preprint 2304.08385, submitted},
year = {2023},
url = {https://arxiv.org/abs/2304.08385}
}
|
| Wiedemann D and Peter MA (2023), "Homogenisation of local colloid evolution induced by reaction and diffusion", Nonlinear Analysis. Vol. 227, pp. 113168.
[BibTeX] [DOI]
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BibTeX:
@article{Wiedemann-Peter-2023-2,
author = {Wiedemann, David and Peter, Malte A.},
title = {Homogenisation of local colloid evolution induced by reaction and diffusion},
journal = {Nonlinear Analysis},
year = {2023},
volume = {227},
pages = {113168},
doi = {10.1016/j.na.2022.113168}
}
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| Wiedemann D and Peter MA (2021), "Darcy's law for evolving microstructure", Proc. Appl. Math. Mech.. Vol. 21(1)
[BibTeX] [DOI]
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BibTeX:
@article{Wiedemann-Peter-2021,
author = {Wiedemann, David and Peter, Malte A.},
title = {Darcy's law for evolving microstructure},
journal = {Proc. Appl. Math. Mech.},
year = {2021},
volume = {21},
number = {1},
doi = {10.1002/pamm.202100226}
}
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