Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics. Published online 2024. doi:10.1007/s00466-024-02442-y
LibreCat: /record/52233
DOI: 10.1007/s00466-024-02442-y

Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation. Computational Mechanics. Published online 2023. doi:10.1007/s00466-023-02347-2
LibreCat: /record/45757
DOI: 10.1007/s00466-023-02347-2

Westermann H, Mahnken R. 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. Computer Methods in Applied Mechanics and Engineering. 2023;418. doi:10.1016/j.cma.2023.116545
LibreCat: /record/48465
DOI: 10.1016/j.cma.2023.116545

Harzheim S, Hofmann M, Wallmersperger T. Comparison of two mesh-moving techniques for finite element simulations of galvanic corrosion. Acta Mechanica. 2022;233(11):4427-4439. doi:10.1007/s00707-022-03326-z
LibreCat: /record/34257
DOI: 10.1007/s00707-022-03326-z

Ju X, Mahnken R, Xu Y, Liang L. Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua. Computational Mechanics. 2022;69(3):847-863. doi:10.1007/s00466-021-02117-y
LibreCat: /record/30655
DOI: 10.1007/s00466-021-02117-y

Henkes A, Wessels H, Mahnken R. Physics informed neural networks for continuum micromechanics. Computer Methods in Applied Mechanics and Engineering. 2022;393. doi:10.1016/j.cma.2022.114790
LibreCat: /record/30657
DOI: 10.1016/j.cma.2022.114790

Ju X, Mahnken R, Xu Y, Liang L. NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems. Computer Methods in Applied Mechanics and Engineering. 2022;398. doi:10.1016/j.cma.2022.115199
LibreCat: /record/32592
DOI: 10.1016/j.cma.2022.115199

Mahnken R. New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction. Computer Methods in Applied Mechanics and Engineering. 2022;401. doi:10.1016/j.cma.2022.115553
LibreCat: /record/33801
DOI: 10.1016/j.cma.2022.115553

Mahnken R, Steinmann P. Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 2011;80():161-164. doi:10.1002/zamm.20000801341
LibreCat: /record/45420
DOI: 10.1002/zamm.20000801341

Döbert C, Mahnken R, Stein E. Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 2011;80():467-468. doi:10.1002/zamm.200008014105
LibreCat: /record/45421
DOI: 10.1002/zamm.200008014105

Mahnken R. Improvements for finite-element implementation of the Gurson Model. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 2011;80():481-482. doi:10.1002/zamm.200008014112
LibreCat: /record/45419
DOI: 10.1002/zamm.200008014112

Mahnken R. A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems. Computational Mechanics. 2008;15(5):408-425. doi:10.1007/bf00350355
LibreCat: /record/45431
DOI: 10.1007/bf00350355

Mahnken R. Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity. Computer Methods in Applied Mechanics and Engineering. 2002;190(39):5057-5080. doi:10.1016/s0045-7825(00)00364-9
LibreCat: /record/45307
DOI: 10.1016/s0045-7825(00)00364-9

Mahnken R, Steinmann P. A finite element algorithm for parameter identification of material models for fluid saturated porous media. International Journal for Numerical and Analytical Methods in Geomechanics. 2002;25(5):415-434. doi:10.1002/nag.136
LibreCat: /record/45413
DOI: 10.1002/nag.136

Mahnken R, Kohlmeier M. Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation. Computer Methods in Applied Mechanics and Engineering. 2002;190(32-33):4259-4278. doi:10.1016/s0045-7825(00)00317-0
LibreCat: /record/45412
DOI: 10.1016/s0045-7825(00)00317-0

Döbert C, Mahnken R, Stein E. Numerical simulation of interface debonding with a combined damage/friction constitutive model. Computational Mechanics. 2002;25(5):456-467. doi:10.1007/s004660050493
LibreCat: /record/45417
DOI: 10.1007/s004660050493

Mahnken R, Stein E. A unified approach for parameter identification of inelastic material models in the frame of the finite element method. Computer Methods in Applied Mechanics and Engineering. 2002;136(3-4):225-258. doi:10.1016/0045-7825(96)00991-7
LibreCat: /record/45429
DOI: 10.1016/0045-7825(96)00991-7

Mahnken R, Stein E. Parameter identification for finite deformation elasto-plasticity in principal directions. Computer Methods in Applied Mechanics and Engineering. 2002;147(1-2):17-39. doi:10.1016/s0045-7825(97)00008-x
LibreCat: /record/45428
DOI: 10.1016/s0045-7825(97)00008-x