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19 Publications
2023 | Journal Article | LibreCat-ID: 48465
H. Westermann and R. 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, Art. no. 116545, 2023, doi: 10.1016/j.cma.2023.116545.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 30657
A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,” Computer Methods in Applied Mechanics and Engineering, vol. 393, Art. no. 114790, 2022, doi: 10.1016/j.cma.2022.114790.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 32592
X. Ju, R. 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, vol. 398, Art. no. 115199, 2022, doi: 10.1016/j.cma.2022.115199.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 33801
R. Mahnken, “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, Art. no. 115553, 2022, doi: 10.1016/j.cma.2022.115553.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24376
A. Henkes, I. Caylak, and R. Mahnken, “A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures,” Computer Methods in Applied Mechanics and Engineering, Art. no. 114070, 2021, doi: 10.1016/j.cma.2021.114070.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 24374
I. Caylak, E. Penner, and R. Mahnken, “Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters,” Computer Methods in Applied Mechanics and Engineering, Art. no. 113439, 2020, doi: 10.1016/j.cma.2020.113439.
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 24893
K.-U. Widany and R. Mahnken, “Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements,” Computer Methods in Applied Mechanics and Engineering, pp. 117–131, 2012, doi: 10.1016/j.cma.2012.06.017.
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 19112
R. Mahnken, I. Caylak, and G. Laschet, “Two mixed finite element formulations with area bubble functions for tetrahedral elements,” Computer Methods in Applied Mechanics and Engineering, pp. 1147–1165, 2007, doi: 10.1016/j.cma.2007.10.007.
LibreCat
| DOI