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.”https://doi.org/10.1016/j.cma.2023.116545__Computer Methods in Applied Mechanics and Engineering 418 (2023).https://doi.org/10.1016/j.cma.2023.116545 .
LibreCat: /record/48465
DOI: 10.1016/j.cma.2023.116545

Henkes, Alexander, Henning Wessels, and Rolf Mahnken. “Physics Informed Neural Networks for Continuum Micromechanics.”https://doi.org/10.1016/j.cma.2022.114790__Computer Methods in Applied Mechanics and Engineering 393 (2022).https://doi.org/10.1016/j.cma.2022.114790 .
LibreCat: /record/30657
DOI: 10.1016/j.cma.2022.114790

Ju, X., Rolf Mahnken, Y. Xu, and L. Liang. “NTFA-Enabled Goal-Oriented Adaptive Space–Time Finite Elements for Micro-Heterogeneous Elastoplasticity Problems.”https://doi.org/10.1016/j.cma.2022.115199__Computer Methods in Applied Mechanics and Engineering 398 (2022).https://doi.org/10.1016/j.cma.2022.115199 .
LibreCat: /record/32592
DOI: 10.1016/j.cma.2022.115199

Mahnken, Rolf. “New Low Order Runge–Kutta Schemes for Asymptotically Exact Global Error Estimation of Embedded Methods without Order Reduction.”https://doi.org/10.1016/j.cma.2022.115553__Computer Methods in Applied Mechanics and Engineering 401 (2022).https://doi.org/10.1016/j.cma.2022.115553 .
LibreCat: /record/33801
DOI: 10.1016/j.cma.2022.115553

Henkes, Alexander, Ismail Caylak, and Rolf Mahnken. “A Deep Learning Driven Pseudospectral PCE Based FFT Homogenization Algorithm for Complex Microstructures.”https://doi.org/10.1016/j.cma.2021.114070__Computer Methods in Applied Mechanics and Engineering, 2021.https://doi.org/10.1016/j.cma.2021.114070 .
LibreCat: /record/24376
DOI: 10.1016/j.cma.2021.114070

Caylak, Ismail, Eduard Penner, and Rolf Mahnken. “Mean-Field and Full-Field Homogenization with Polymorphic Uncertain Geometry and Material Parameters.”https://doi.org/10.1016/j.cma.2020.113439__Computer Methods in Applied Mechanics and Engineering, 2020.https://doi.org/10.1016/j.cma.2020.113439 .
LibreCat: /record/24374
DOI: 10.1016/j.cma.2020.113439

Ju, Xiaozhe, and Rolf Mahnken. “‘Goal-Oriented h-Type Adaptive Finite Elements for Micromorphic Elastoplasticity.’”https://doi.org/10.1016/j.cma.2019.01.031__Computer Methods in Applied Mechanics and Engineering, 2019, 297–329.https://doi.org/10.1016/j.cma.2019.01.031 .
LibreCat: /record/13432
DOI: 10.1016/j.cma.2019.01.031

Ju, X., and R. Mahnken. “‘Model Adaptivity on Effective Elastic Properties Coupled with Adaptive FEM.’”https://doi.org/10.1016/j.cma.2017.04.013__Computer Methods in Applied Mechanics and Engineering 322 (2017): 208–37.https://doi.org/10.1016/j.cma.2017.04.013 .
LibreCat: /record/10004
DOI: 10.1016/j.cma.2017.04.013

Widany, Kai-Uwe, and Rolf Mahnken. “Adaptivity for Parameter Identification of Incompressible Hyperelastic Materials Using Stabilized Tetrahedral Elements.”https://doi.org/10.1016/j.cma.2012.06.017__Computer Methods in Applied Mechanics and Engineering, 2012, 117–31.https://doi.org/10.1016/j.cma.2012.06.017 .
LibreCat: /record/24893
DOI: 10.1016/j.cma.2012.06.017

Mahnken, Rolf, Ismail Caylak, and Gottfried Laschet. “Two Mixed Finite Element Formulations with Area Bubble Functions for Tetrahedral Elements.”https://doi.org/10.1016/j.cma.2007.10.007__Computer Methods in Applied Mechanics and Engineering, 2007, 1147–65.https://doi.org/10.1016/j.cma.2007.10.007 .
LibreCat: /record/19112
DOI: 10.1016/j.cma.2007.10.007