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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.
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| 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.
2011 | Journal Article | LibreCat-ID: 45419
Improvements for finite-element implementation of the Gurson Model
R. Mahnken, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 481–482.
LibreCat
| DOI
R. Mahnken, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 481–482.
2008 | Journal Article | LibreCat-ID: 45431
A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems
R. Mahnken, Computational Mechanics 15 (2008) 408–425.
LibreCat
| DOI
R. Mahnken, Computational Mechanics 15 (2008) 408–425.
2002 | Journal Article | LibreCat-ID: 45307
Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 190 (2002) 5057–5080.
LibreCat
| DOI
R. Mahnken, Computer Methods in Applied Mechanics and Engineering 190 (2002) 5057–5080.
2002 | Journal Article | LibreCat-ID: 45413
A finite element algorithm for parameter identification of material models for fluid saturated porous media
R. Mahnken, P. Steinmann, International Journal for Numerical and Analytical Methods in Geomechanics 25 (2002) 415–434.
LibreCat
| DOI
R. Mahnken, P. Steinmann, International Journal for Numerical and Analytical Methods in Geomechanics 25 (2002) 415–434.
2002 | Journal Article | LibreCat-ID: 45412
Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation
R. Mahnken, M. Kohlmeier, Computer Methods in Applied Mechanics and Engineering 190 (2002) 4259–4278.
LibreCat
| DOI
R. Mahnken, M. Kohlmeier, Computer Methods in Applied Mechanics and Engineering 190 (2002) 4259–4278.
2002 | Journal Article | LibreCat-ID: 45417
Numerical simulation of interface debonding with a combined damage/friction constitutive model
C. Döbert, R. Mahnken, E. Stein, Computational Mechanics 25 (2002) 456–467.
LibreCat
| DOI
C. Döbert, R. Mahnken, E. Stein, Computational Mechanics 25 (2002) 456–467.
2002 | Journal Article | LibreCat-ID: 45429
A unified approach for parameter identification of inelastic material models in the frame of the finite element method
R. Mahnken, E. Stein, Computer Methods in Applied Mechanics and Engineering 136 (2002) 225–258.
LibreCat
| DOI
R. Mahnken, E. Stein, Computer Methods in Applied Mechanics and Engineering 136 (2002) 225–258.
2002 | Journal Article | LibreCat-ID: 45428
Parameter identification for finite deformation elasto-plasticity in principal directions
R. Mahnken, E. Stein, Computer Methods in Applied Mechanics and Engineering 147 (2002) 17–39.
LibreCat
| DOI
R. Mahnken, E. Stein, Computer Methods in Applied Mechanics and Engineering 147 (2002) 17–39.