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19 Publications
2023 | Journal Article | LibreCat-ID: 48465
Westermann H, Mahnken R. 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. 2023;418. doi:10.1016/j.cma.2023.116545
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 30657
Henkes A, Wessels H, Mahnken R. Physics informed neural networks for continuum micromechanics. Computer Methods in Applied Mechanics and Engineering. 2022;393. doi:10.1016/j.cma.2022.114790
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 32592
Ju X, Mahnken R, Xu Y, Liang L. NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems. Computer Methods in Applied Mechanics and Engineering. 2022;398. doi:10.1016/j.cma.2022.115199
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 33801
Mahnken R. 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. 2022;401. doi:10.1016/j.cma.2022.115553
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24376
Henkes A, Caylak I, Mahnken R. A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures. Computer Methods in Applied Mechanics and Engineering. Published online 2021. doi:10.1016/j.cma.2021.114070
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 24374
Caylak I, Penner E, Mahnken R. Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters. Computer Methods in Applied Mechanics and Engineering. Published online 2020. doi:10.1016/j.cma.2020.113439
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 13432
Ju X, Mahnken R. “Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity.” Computer Methods in Applied Mechanics and Engineering. 2019:297-329. doi:10.1016/j.cma.2019.01.031
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 10004
Ju X, Mahnken R. “Model adaptivity on effective elastic properties coupled with adaptive FEM.” Computer Methods in Applied Mechanics and Engineering. 2017;322:208-237. doi:10.1016/j.cma.2017.04.013
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 24893
Widany K-U, Mahnken R. Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements. Computer Methods in Applied Mechanics and Engineering. Published online 2012:117-131. doi:10.1016/j.cma.2012.06.017
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 19112
Mahnken R, Caylak I, Laschet G. Two mixed finite element formulations with area bubble functions for tetrahedral elements. Computer Methods in Applied Mechanics and Engineering. Published online 2007:1147-1165. doi:10.1016/j.cma.2007.10.007
LibreCat
| DOI