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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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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2011 | Journal Article | LibreCat-ID: 45419
Mahnken, Rolf. “Improvements for Finite-Element Implementation of the Gurson Model.” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80, no. S2 (2011): 481–82. https://doi.org/10.1002/zamm.200008014112.
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2008 | Journal Article | LibreCat-ID: 45431
Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic Problems.” Computational Mechanics 15, no. 5 (2008): 408–25. https://doi.org/10.1007/bf00350355.
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2002 | Journal Article | LibreCat-ID: 45307
Mahnken, Rolf. “Strength Difference in Compression and Tension and Pressure Dependence of Yielding in Elasto-Plasticity.” Computer Methods in Applied Mechanics and Engineering 190, no. 39 (2002): 5057–80. https://doi.org/10.1016/s0045-7825(00)00364-9.
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2002 | Journal Article | LibreCat-ID: 45413
Mahnken, Rolf, and P. Steinmann. “A Finite Element Algorithm for Parameter Identification of Material Models for Fluid Saturated Porous Media.” International Journal for Numerical and Analytical Methods in Geomechanics 25, no. 5 (2002): 415–34. https://doi.org/10.1002/nag.136.
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2002 | Journal Article | LibreCat-ID: 45412
Mahnken, Rolf, and M. Kohlmeier. “Finite Element Simulation for Rock Salt with Dilatancy Boundary Coupled to Fluid Permeation.” Computer Methods in Applied Mechanics and Engineering 190, no. 32–33 (2002): 4259–78. https://doi.org/10.1016/s0045-7825(00)00317-0.
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2002 | Journal Article | LibreCat-ID: 45417
Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface Debonding with a Combined Damage/Friction Constitutive Model.” Computational Mechanics 25, no. 5 (2002): 456–67. https://doi.org/10.1007/s004660050493.
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2002 | Journal Article | LibreCat-ID: 45429
Mahnken, Rolf, and Erwin Stein. “A Unified Approach for Parameter Identification of Inelastic Material Models in the Frame of the Finite Element Method.” Computer Methods in Applied Mechanics and Engineering 136, no. 3–4 (2002): 225–58. https://doi.org/10.1016/0045-7825(96)00991-7.
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2002 | Journal Article | LibreCat-ID: 45428
Mahnken, Rolf, and Erwin Stein. “Parameter Identification for Finite Deformation Elasto-Plasticity in Principal Directions.” Computer Methods in Applied Mechanics and Engineering 147, no. 1–2 (2002): 17–39. https://doi.org/10.1016/s0045-7825(97)00008-x.
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