R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods,”10.1007/s00466-024-02442-y__Computational Mechanics, 2024, doi:10.1007/s00466-024-02442-y .

R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation,”10.1007/s00466-023-02347-2__Computational Mechanics, 2023, doi:10.1007/s00466-023-02347-2 .

H. Westermann and R. Mahnken, “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,”10.1016/j.cma.2023.116545__Computer Methods in Applied Mechanics and Engineering, vol. 418, Art. no. 116545, 2023, doi:10.1016/j.cma.2023.116545 .

S. Harzheim, M. Hofmann, and T. Wallmersperger, “Comparison of two mesh-moving techniques for finite element simulations of galvanic corrosion,”10.1007/s00707-022-03326-z__Acta Mechanica, vol. 233, no. 11, pp. 4427–4439, 2022, doi:10.1007/s00707-022-03326-z .

X. Ju, R. Mahnken, Y. Xu, and L. Liang, “Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua,”10.1007/s00466-021-02117-y__Computational Mechanics, vol. 69, no. 3, pp. 847–863, 2022, doi:10.1007/s00466-021-02117-y .

A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,”10.1016/j.cma.2022.114790__Computer Methods in Applied Mechanics and Engineering, vol. 393, Art. no. 114790, 2022, doi:10.1016/j.cma.2022.114790 .

X. Ju, R. Mahnken, Y. Xu, and L. Liang, “NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems,”10.1016/j.cma.2022.115199__Computer Methods in Applied Mechanics and Engineering, vol. 398, Art. no. 115199, 2022, doi:10.1016/j.cma.2022.115199 .

R. Mahnken, “New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction,”10.1016/j.cma.2022.115553__Computer Methods in Applied Mechanics and Engineering, vol. 401, Art. no. 115553, 2022, doi:10.1016/j.cma.2022.115553 .

R. Mahnken and P. Steinmann, “Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting,”10.1002/zamm.20000801341__ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 80, no. , pp. 161–164, 2011, doi:10.1002/zamm.20000801341 .

C. Döbert, R. Mahnken, and E. Stein, “Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests,”10.1002/zamm.200008014105__ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 80, no. , pp. 467–468, 2011, doi:10.1002/zamm.200008014105 .

R. Mahnken, “Improvements for finite-element implementation of the Gurson Model,”10.1002/zamm.200008014112__ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 80, no. , pp. 481–482, 2011, doi:10.1002/zamm.200008014112 .

R. Mahnken, “A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems,”10.1007/bf00350355__Computational Mechanics, vol. 15, no. 5, pp. 408–425, 2008, doi:10.1007/bf00350355 .

R. Mahnken, “Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity,”10.1016/s0045-7825(00)00364-9__Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 39, pp. 5057–5080, 2002, doi:10.1016/s0045-7825(00)00364-9 .

R. Mahnken and P. Steinmann, “A finite element algorithm for parameter identification of material models for fluid saturated porous media,”10.1002/nag.136__International Journal for Numerical and Analytical Methods in Geomechanics, vol. 25, no. 5, pp. 415–434, 2002, doi:10.1002/nag.136 .

R. Mahnken and M. Kohlmeier, “Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation,”10.1016/s0045-7825(00)00317-0__Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 32–33, pp. 4259–4278, 2002, doi:10.1016/s0045-7825(00)00317-0 .

C. Döbert, R. Mahnken, and E. Stein, “Numerical simulation of interface debonding with a combined damage/friction constitutive model,”10.1007/s004660050493__Computational Mechanics, vol. 25, no. 5, pp. 456–467, 2002, doi:10.1007/s004660050493 .

R. Mahnken and E. Stein, “A unified approach for parameter identification of inelastic material models in the frame of the finite element method,”10.1016/0045-7825(96)00991-7__Computer Methods in Applied Mechanics and Engineering, vol. 136, no. 3–4, pp. 225–258, 2002, doi:10.1016/0045-7825(96)00991-7 .

R. Mahnken and E. Stein, “Parameter identification for finite deformation elasto-plasticity in principal directions,”10.1016/s0045-7825(97)00008-x__Computer Methods in Applied Mechanics and Engineering, vol. 147, no. 1–2, pp. 17–39, 2002, doi:10.1016/s0045-7825(97)00008-x .