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18 Publications
2024 | Journal Article | LibreCat-ID: 52233
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
| DOI
2023 | Journal Article | LibreCat-ID: 45757
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
| DOI
2023 | Journal Article | LibreCat-ID: 48465
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
| DOI
2022 | Journal Article | LibreCat-ID: 34257 | 
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
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| DOI
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2022 | Journal Article | LibreCat-ID: 30655
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
| DOI
2022 | Journal Article | LibreCat-ID: 30657
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
| DOI
2022 | Journal Article | LibreCat-ID: 32592
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
| DOI
2022 | Journal Article | LibreCat-ID: 33801
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
| DOI
2011 | Journal Article | LibreCat-ID: 45420
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(S1):161-164. doi:10.1002/zamm.20000801341
LibreCat
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2011 | Journal Article | LibreCat-ID: 45421
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(S2):467-468. doi:10.1002/zamm.200008014105
LibreCat
| DOI