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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, vol. 418, 116545, Elsevier BV, 2023, doi:10.1016/j.cma.2023.116545.
LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 30657
Henkes, Alexander, et al. “Physics Informed Neural Networks for Continuum Micromechanics.” Computer Methods in Applied Mechanics and Engineering, vol. 393, 114790, Elsevier BV, 2022, doi:10.1016/j.cma.2022.114790.
LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 32592
Ju, X., et al. “NTFA-Enabled Goal-Oriented Adaptive Space–Time Finite Elements for Micro-Heterogeneous Elastoplasticity Problems.” Computer Methods in Applied Mechanics and Engineering, vol. 398, 115199, Elsevier BV, 2022, doi: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, vol. 401, 115553, Elsevier BV, 2022, doi:10.1016/j.cma.2022.115553.
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2021 | Journal Article | LibreCat-ID: 24376
Henkes, Alexander, et al. “A Deep Learning Driven Pseudospectral PCE Based FFT Homogenization Algorithm for Complex Microstructures.” Computer Methods in Applied Mechanics and Engineering, 114070, 2021, doi:10.1016/j.cma.2021.114070.
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2020 | Journal Article | LibreCat-ID: 24374
Caylak, Ismail, et al. “Mean-Field and Full-Field Homogenization with Polymorphic Uncertain Geometry and Material Parameters.” Computer Methods in Applied Mechanics and Engineering, 113439, 2020, doi:10.1016/j.cma.2020.113439.
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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, pp. 297–329, doi:10.1016/j.cma.2019.01.031.
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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, vol. 322, Elsevier, 2017, pp. 208–37, doi:10.1016/j.cma.2017.04.013.
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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, pp. 117–31, doi:10.1016/j.cma.2012.06.017.
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2007 | Journal Article | LibreCat-ID: 19112
Mahnken, Rolf, et al. “Two Mixed Finite Element Formulations with Area Bubble Functions for Tetrahedral Elements.” Computer Methods in Applied Mechanics and Engineering, 2007, pp. 1147–65, doi:10.1016/j.cma.2007.10.007.
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