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18 Publications
2024 | Journal Article | LibreCat-ID: 52233
Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” Computational Mechanics, 2024. https://doi.org/10.1007/s00466-024-02442-y.
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 45757
Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.” Computational Mechanics, 2023. https://doi.org/10.1007/s00466-023-02347-2.
LibreCat
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2023 | Journal Article | LibreCat-ID: 48465
Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” Computer Methods in Applied Mechanics and Engineering 418 (2023). https://doi.org/10.1016/j.cma.2023.116545.
LibreCat
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2022 | Journal Article | LibreCat-ID: 34257 | 
Harzheim, Sven, Martin Hofmann, and Thomas Wallmersperger. “Comparison of Two Mesh-Moving Techniques for Finite Element Simulations of Galvanic Corrosion.” Acta Mechanica 233, no. 11 (2022): 4427–39. https://doi.org/10.1007/s00707-022-03326-z.
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2022 | Journal Article | LibreCat-ID: 30655
Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, and Lihua Liang. “Goal-Oriented Error Estimation and h-Adaptive Finite Elements for Hyperelastic Micromorphic Continua.” Computational Mechanics 69, no. 3 (2022): 847–63. https://doi.org/10.1007/s00466-021-02117-y.
LibreCat
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2022 | Journal Article | LibreCat-ID: 30657
Henkes, Alexander, Henning Wessels, and Rolf Mahnken. “Physics Informed Neural Networks for Continuum Micromechanics.” Computer Methods in Applied Mechanics and Engineering 393 (2022). https://doi.org/10.1016/j.cma.2022.114790.
LibreCat
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2022 | Journal Article | LibreCat-ID: 32592
Ju, X., Rolf Mahnken, Y. Xu, and L. Liang. “NTFA-Enabled Goal-Oriented Adaptive Space–Time Finite Elements for Micro-Heterogeneous Elastoplasticity Problems.” Computer Methods in Applied Mechanics and Engineering 398 (2022). https://doi.org/10.1016/j.cma.2022.115199.
LibreCat
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2022 | Journal Article | LibreCat-ID: 33801
Mahnken, Rolf. “New Low Order Runge–Kutta Schemes for Asymptotically Exact Global Error Estimation of Embedded Methods without Order Reduction.” Computer Methods in Applied Mechanics and Engineering 401 (2022). https://doi.org/10.1016/j.cma.2022.115553.
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2011 | Journal Article | LibreCat-ID: 45420
Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting.” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80, no. S1 (2011): 161–64. https://doi.org/10.1002/zamm.20000801341.
LibreCat
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2011 | Journal Article | LibreCat-ID: 45421
Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests.” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80, no. S2 (2011): 467–68. https://doi.org/10.1002/zamm.200008014105.
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