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18 Publications
2024 | Journal Article | LibreCat-ID: 52233
R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods,” Computational Mechanics, 2024, doi: 10.1007/s00466-024-02442-y.
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2023 | Journal Article | LibreCat-ID: 45757
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,” Computational Mechanics, 2023, doi: 10.1007/s00466-023-02347-2.
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2023 | Journal Article | LibreCat-ID: 48465
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,” Computer Methods in Applied Mechanics and Engineering, vol. 418, Art. no. 116545, 2023, doi: 10.1016/j.cma.2023.116545.
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2022 | Journal Article | LibreCat-ID: 34257 | 
S. Harzheim, M. Hofmann, and T. Wallmersperger, “Comparison of two mesh-moving techniques for finite element simulations of galvanic corrosion,” Acta Mechanica, vol. 233, no. 11, pp. 4427–4439, 2022, doi: 10.1007/s00707-022-03326-z.
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2022 | Journal Article | LibreCat-ID: 30655
X. Ju, R. Mahnken, Y. Xu, and L. Liang, “Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua,” Computational Mechanics, vol. 69, no. 3, pp. 847–863, 2022, doi: 10.1007/s00466-021-02117-y.
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2022 | Journal Article | LibreCat-ID: 30657
A. Henkes, H. Wessels, and R. Mahnken, “Physics informed neural networks for continuum micromechanics,” Computer Methods in Applied Mechanics and Engineering, vol. 393, Art. no. 114790, 2022, doi: 10.1016/j.cma.2022.114790.
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2022 | Journal Article | LibreCat-ID: 32592
X. Ju, R. Mahnken, Y. Xu, and L. Liang, “NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems,” Computer Methods in Applied Mechanics and Engineering, vol. 398, Art. no. 115199, 2022, doi: 10.1016/j.cma.2022.115199.
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2022 | Journal Article | LibreCat-ID: 33801
R. Mahnken, “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, vol. 401, Art. no. 115553, 2022, doi: 10.1016/j.cma.2022.115553.
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2011 | Journal Article | LibreCat-ID: 45420
R. Mahnken and P. Steinmann, “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, vol. 80, no. S1, pp. 161–164, 2011, doi: 10.1002/zamm.20000801341.
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2011 | Journal Article | LibreCat-ID: 45421
C. Döbert, R. Mahnken, and E. Stein, “Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 80, no. S2, pp. 467–468, 2011, doi: 10.1002/zamm.200008014105.
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2011 | Journal Article | LibreCat-ID: 45419
R. Mahnken, “Improvements for finite-element implementation of the Gurson Model,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 80, no. S2, pp. 481–482, 2011, doi: 10.1002/zamm.200008014112.
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2008 | Journal Article | LibreCat-ID: 45431
R. Mahnken, “A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems,” Computational Mechanics, vol. 15, no. 5, pp. 408–425, 2008, doi: 10.1007/bf00350355.
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2002 | Journal Article | LibreCat-ID: 45307
R. Mahnken, “Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity,” Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 39, pp. 5057–5080, 2002, doi: 10.1016/s0045-7825(00)00364-9.
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2002 | Journal Article | LibreCat-ID: 45413
R. Mahnken and P. Steinmann, “A finite element algorithm for parameter identification of material models for fluid saturated porous media,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 25, no. 5, pp. 415–434, 2002, doi: 10.1002/nag.136.
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2002 | Journal Article | LibreCat-ID: 45412
R. Mahnken and M. Kohlmeier, “Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation,” Computer Methods in Applied Mechanics and Engineering, vol. 190, no. 32–33, pp. 4259–4278, 2002, doi: 10.1016/s0045-7825(00)00317-0.
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2002 | Journal Article | LibreCat-ID: 45417
C. Döbert, R. Mahnken, and E. Stein, “Numerical simulation of interface debonding with a combined damage/friction constitutive model,” Computational Mechanics, vol. 25, no. 5, pp. 456–467, 2002, doi: 10.1007/s004660050493.
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2002 | Journal Article | LibreCat-ID: 45429
R. Mahnken and E. Stein, “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, vol. 136, no. 3–4, pp. 225–258, 2002, doi: 10.1016/0045-7825(96)00991-7.
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2002 | Journal Article | LibreCat-ID: 45428
R. Mahnken and E. Stein, “Parameter identification for finite deformation elasto-plasticity in principal directions,” Computer Methods in Applied Mechanics and Engineering, vol. 147, no. 1–2, pp. 17–39, 2002, doi: 10.1016/s0045-7825(97)00008-x.
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