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19 Publications
2023 | Journal Article | LibreCat-ID: 48465
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
H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).
LibreCat
| DOI
H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).
2022 | Journal Article | LibreCat-ID: 30657
Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 393 (2022).
LibreCat
| DOI
A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 393 (2022).
2022 | Journal Article | LibreCat-ID: 32592
NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computer Methods in Applied Mechanics and Engineering 398 (2022).
LibreCat
| DOI
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computer Methods in Applied Mechanics and Engineering 398 (2022).
2022 | Journal Article | LibreCat-ID: 33801
New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 401 (2022).
LibreCat
| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 401 (2022).
2021 | Journal Article | LibreCat-ID: 24376
A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures
A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2021).
LibreCat
| DOI
A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2021).
2020 | Journal Article | LibreCat-ID: 24374
Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters
I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2020).
LibreCat
| DOI
I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2020).
2019 | Journal Article | LibreCat-ID: 13432
"Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.
LibreCat
| DOI
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.
2017 | Journal Article | LibreCat-ID: 10004
"Model adaptivity on effective elastic properties coupled with adaptive FEM"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 322 (2017) 208–237.
LibreCat
| DOI
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 322 (2017) 208–237.
2012 | Journal Article | LibreCat-ID: 24893
Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements
K.-U. Widany, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2012) 117–131.
LibreCat
| DOI
K.-U. Widany, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2012) 117–131.
2007 | Journal Article | LibreCat-ID: 19112
Two mixed finite element formulations with area bubble functions for tetrahedral elements
R. Mahnken, I. Caylak, G. Laschet, Computer Methods in Applied Mechanics and Engineering (2007) 1147–1165.
LibreCat
| DOI
R. Mahnken, I. Caylak, G. Laschet, Computer Methods in Applied Mechanics and Engineering (2007) 1147–1165.