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18 Publications
2024 | Journal Article | LibreCat-ID: 52233
Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods
R. Mahnken, H. Westermann, Computational Mechanics (2024).
LibreCat
| DOI
R. Mahnken, H. Westermann, Computational Mechanics (2024).
2023 | Journal Article | LibreCat-ID: 45757
Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation
R. Mahnken, Computational Mechanics (2023).
LibreCat
| DOI
R. Mahnken, Computational Mechanics (2023).
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: 34257 | 
Comparison of two mesh-moving techniques for finite element simulations of galvanic corrosion
S. Harzheim, M. Hofmann, T. Wallmersperger, Acta Mechanica 233 (2022) 4427–4439.
LibreCat
| DOI
| Download (ext.)
S. Harzheim, M. Hofmann, T. Wallmersperger, Acta Mechanica 233 (2022) 4427–4439.
2022 | Journal Article | LibreCat-ID: 30655
Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.
LibreCat
| DOI
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.
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).
2011 | Journal Article | LibreCat-ID: 45420
Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting
R. Mahnken, P. Steinmann, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 161–164.
LibreCat
| DOI
R. Mahnken, P. Steinmann, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 161–164.
2011 | Journal Article | LibreCat-ID: 45421
Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests
C. Döbert, R. Mahnken, E. Stein, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 467–468.
LibreCat
| DOI
C. Döbert, R. Mahnken, E. Stein, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 467–468.