Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods
R. Mahnken, H. Westermann, Computational Mechanics (2024).

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).

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).

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.

Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 393 (2022).

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).

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).

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.

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.

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.

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.

A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems
R. Mahnken, Computational Mechanics 15 (2008) 408–425.

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.

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.

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.

Numerical simulation of interface debonding with a combined damage/friction constitutive model
C. Döbert, R. Mahnken, E. Stein, Computational Mechanics 25 (2002) 456–467.

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.

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.