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19 Publications
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
| DOI
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
| DOI
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
| DOI
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.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24376
Henkes, Alexander, Ismail Caylak, and Rolf Mahnken. “A Deep Learning Driven Pseudospectral PCE Based FFT Homogenization Algorithm for Complex Microstructures.” Computer Methods in Applied Mechanics and Engineering, 2021. https://doi.org/10.1016/j.cma.2021.114070.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 24374
Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “Mean-Field and Full-Field Homogenization with Polymorphic Uncertain Geometry and Material Parameters.” Computer Methods in Applied Mechanics and Engineering, 2020. https://doi.org/10.1016/j.cma.2020.113439.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13432
Ju, Xiaozhe, and Rolf Mahnken. “‘Goal-Oriented h-Type Adaptive Finite Elements for Micromorphic Elastoplasticity.’” Computer Methods in Applied Mechanics and Engineering, 2019, 297–329. https://doi.org/10.1016/j.cma.2019.01.031.
LibreCat
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2017 | Journal Article | LibreCat-ID: 10004
Ju, X., and R. Mahnken. “‘Model Adaptivity on Effective Elastic Properties Coupled with Adaptive FEM.’” Computer Methods in Applied Mechanics and Engineering 322 (2017): 208–37. https://doi.org/10.1016/j.cma.2017.04.013.
LibreCat
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2012 | Journal Article | LibreCat-ID: 24893
Widany, Kai-Uwe, and Rolf Mahnken. “Adaptivity for Parameter Identification of Incompressible Hyperelastic Materials Using Stabilized Tetrahedral Elements.” Computer Methods in Applied Mechanics and Engineering, 2012, 117–31. https://doi.org/10.1016/j.cma.2012.06.017.
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 19112
Mahnken, Rolf, Ismail Caylak, and Gottfried Laschet. “Two Mixed Finite Element Formulations with Area Bubble Functions for Tetrahedral Elements.” Computer Methods in Applied Mechanics and Engineering, 2007, 1147–65. https://doi.org/10.1016/j.cma.2007.10.007.
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