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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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
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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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
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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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