Downwind and upwind approximations for primal and dual problems of elasto-plasticity with Prandtl–Reuss type material laws
R. Mahnken, A. Tchomgue Simeu, Computer Methods in Applied Mechanics and Engineering 432 (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).

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).

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).

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).

"Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.

"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.

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.

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.

Simulation of strength difference for adhesive materials in finite deformation elasto-plasticity
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2005) 4097–4114.

Creep simulation of asymmetric effects at large strains by stress mode decomposition
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2005) 4221–4243.

Void growth in finite deformation elasto-plasticity due to hydrostatic stress states
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2004) 3689–3709.

Anistropic creep modeling based on elastic projection operators with applications to CMSX-4 superalloy
R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2002) 1611–1637.

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.

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.

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.

The computation of lyapunov exponents via spatial integration with application to blowout bifurcations
P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237.