Veröffentlichungen 2020/2023
| Number | Publication | Corresponding Project |
|---|---|---|
| 1 | P. Lewintan, S. Müller, P. Neff: Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Calculus of Variations and Partial Differential Equations, 2021, 60. Jg., Nr. 4, S. 1-46. https://doi.org/10.1007/s00526-021-02000-x (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5, 15 |
| 2 | W. G. Nöhring, J. Grießer, P. Dondl, L. Pastewka: Surface lattice Green's functions for high-entropy alloys. Modelling and Simulation in Materials Science and Engineering, 2021, 30. Jg., Nr. 1, S. 015007. https://doi.org/10.1088/1361-651X/ac3ca2 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 6 |
| 3 | P. Lewintan, P. Neff: Nečas-Lions lemma revisited: An L^p-version of the generalized Korn inequality for incompatible tensor fields. Mathematical Methods in the Applied Sciences, 2021, 44. Jg., Nr. 14, S. 11392-11403. http://doi.org/10.1002/mma.7498 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5 |
| 4 | P. Lewintan, P. Neff: The L^p-version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions with p-integrable exterior derivative. Comptes Rendus. Mathématique. Académie des Sciences, 2020. preprint: arXiv:1912.11551 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5 |
| 5 | P. Lewintan, P. Neff: L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2022, 152. Jg., Nr. 6, S. 1477-1508. https://doi.org/10.1017/prm.2021.62 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5 |
| 6 | P. Lewintan, P. Neff: L^p -trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions. Comptes Rendus. Mathématique, 2021, 359. Jg., Nr. 6, S. 749-755. https://doi.org/10.5802/crmath.216 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5 |
| 7 | S. Conti, G. Dolzmann: Numerical Study of Microstructures in Multiwell Problems in Linear Elasticity. Variational Views in Mechanics. Birkhäuser, Cham, 2021. S. 1-29. https://doi.org/10.1007/978-3-030-90051-9_1 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5, 7 |
| 8 | F. Della Porta, Angkana Rüland, Jamie M Taylor, Christian Zillinger: On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. Nonlinearity, 2021, 34. Jg., Nr. 7, S. 4844. https://doi.org/10.1088/1361-6544/abfca9 (externer Link, öffnet neues Fenster) preprint: https://iopscience.iop.org/article/10.1088/1361-6544/abfca9/pdf (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 16 |
| 9 | A. Rüland, A. Tribuzio: On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square. Archive for Rational Mechanics and Analysis, 2022, 243. Jg., Nr. 1, S. 401-431. https://doi.org/10.1007/s00205-021-01729-1 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 16 |
| 10 | D. Knees, V. Shcherbakov: A penalized version of the local minimization scheme for rate-independent systems. Applied Mathematics Letters, 2021, 115. Jg., S. 106954. https://doi.org/10.1016/j.aml.2020.106954 (externer Link, öffnet neues Fenster) preprint: https://www.researchgate.net/profile/Viktor-Shcherbakov/publication/347648611 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 13 |
| 11 | S. Bartels, A. Bonito, P. Hornung: Modeling and simulation of thin sheet folding. Interfaces and Free Boundaries, 2022. https://doi.org/10.4171/IFB/478 (externer Link, öffnet neues Fenster) preprint: https://arxiv.org/pdf/2108.00937 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 1 |
| 12 | A. Rüland, A. Tribuzio: On the energy scaling behaviour of singular perturbation models with prescribed Dirichlet data involving higher order laminates. ESAIM: Control, Optimisation and Calculus of Variations, 2023, vol. 29, nr. 68. https://doi.org/10.1051/cocv/2023047 (externer Link, öffnet neues Fenster) preprint: https://arxiv.org/abs/2104.05496 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 16 |
| 13 | S. Bartels, A. Bonito, P. Tscherner: Error Estimates For A Linear Folding Model. preprint: https://arxiv.org/abs/2205.05720 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 1 |
| 14 | A. Rüland,A. Tribuzio: On Scaling Laws for Multi-Well Nucleation Problems without Gauge Invariances. Journal of Nonlinear Science, 2023, vol. 33, nr. 25. https://doi.org/10.1007/s00332-022-09879-6 (externer Link, öffnet neues Fenster) preprint: https://arxiv.org/abs/2206.05164 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 16 |
| 15 | M. Santilli, B. Schmidt: A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions. preprint: https://arxiv.org/abs/2205.04512 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 17 |
| 16 | B. Schmidt, J. Zeman: A bending-torsion theory for thin and ultrathin rods as a Γ-limit of atomistic models. preprint: https://arxiv.org/abs/2208.04199 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 17 |
| 17 | B. Schmidt, J. Zeman: A continuum model for brittle nanowires derived from an atomistic description by Γ-convergence. preprint: https://arxiv.org/abs/2208.04195 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 17 |
| 18 | M. Köhler, T. Neumeier, J. Melchior, M. A. Peter, D. Peterseim, D. Balzani: Adaptive convexification of microsphere-based incremental damage for stress and strain softening at finite strains. Acta Mechanica, 2022, 233. Jg., Nr. 11, S. 4347-4364 https://doi.org/10.1007/s00707-022-03332-1 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 2 |
| 19 | A. Brunk, H. Egger, O. Habrich, and M. Lukacovy-Medvidova: A structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system. preprint: https://doi.org/10.48550/arXiv.2209.03849 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 9 |
| 20 | A. Brunk, H. Egger, and O. Habrich: On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation. preprint: https://arxiv.org/abs/2208.10201 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 9 |
| 21 | A. Brunk, H. Egger, O. Habrich, and M. Lukacova-Medvidova: Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility. Preprint: https://doi.org/10.48550/arXiv.2102.05704 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 9 |
| 22 | Y. Yang, M. Fathidoost, T. D. Oyedeji, P. Bondi, X. Zhou, H. Egger and B.-X. Xu: A diffuse-interface model of anisotropic interface thermal conductivity and its application in thermal homogenization of composites. Scripta Materialia, 2022, 212. Jg., S. 114537. https://doi.org/10.1016/j.scriptamat.2022.114537 (externer Link, öffnet neues Fenster) preprint: https://www.researchgate.net/profile/Yangyiwei-Yang-2/publication/358106050 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 9 |
| 23 | H. Egger, O. Habrich, and V. Shashkov: Energy stable Galerkin approximation of Hamiltonian and gradient systems. Comput. Meth. Appl. Math. 21 (2021), https://arxiv.org/pdf/1812.04253 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 9 |
| 24 | P. Dondl, S. Conti, and J. Orlik: Variational modeling of paperboard delamination under bending. Math. in Eng. 6 (2023), 1–28. preprint: arXiv:2110.08672 doi: 10.3934/mine.2023039. (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5, 6 |
| 25 | S. Conti, F. Hoffmann, and M. Ortiz: Model-free data-driven inference. preprint: arXiv:2106.02728 (2021) (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5 |
| 26 | S. Conti, R. V. Kohn, and O. Misiats: Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection. Mathematical Models and Methods in Applied Sciences, 2022, 32. Jg., Nr. 08, S. 1671-1723. https://dx.doi.org/10.1142/S0218202522500397 (externer Link, öffnet neues Fenster) preprint: https://www.math.nyu.edu/~kohn/papers/ContiKohnMisiats-M3AS.pdf (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5 |
| 27 | S. Conti, M. Focardi, and F. Iurlano: Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy. preprint: arXiv:2205.06541(2022) (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 5 |
| 28 | Vaios Laschos, Alexander Mielke: Evolutionary Variational Inequalities on the Hellinger-Kantorovich and the spherical Hellinger-Kantorovich spaces. preprint: https://arxiv.org/pdf/2207.09815 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 14 |
| 29 | Alexander Mielke, Thomas Roubicek: Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults. WIAS, preprint arXiv: 2207.1107 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 14 |
| 30 | Alexander Mielke, Ricarda Rossi: Balanced-viscosity solutions to infinite-dimensional multi-rate systems. WIAS, preprint: arXiv: 2112.01794 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 14 |
| 31 | J. Potthoff, B. Wirth: Optimal fine-scale structures in compliance minimization for a uniaxial load in three space dimensions. ESAIM: Control, Optimisation and Calculus of Variations 28:27, 2022 preprint: https://arxiv.org/abs/2111.06910 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 4 |
| 32 | X. Zhou, Y. Yang, S. Bharech, B. Lin, J. Schröder, B.-X. Xu: 3D‐multilayer simulation of microstructure and mechanical properties of porous materials by selective sintering. GAMM‐Mitteilungen, 2021, 44. Jg., Nr. 4, S. e202100017. https://doi.org/10.1002/gamm.202100017 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 9, 15 |
| 33 | T. D. Oyedeji, Y. Yang, H. Egger, B.-X. Xu: Variational quantitative phase-field modeling of non-isothermal sintering process. preprint: https://arxiv.org/abs/2209.14913 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 9 |
| 34 | D. Knees, V. Shcherbakov: A penalized version of the local minimization scheme for rate-independent systems. Applied Mathematics Letters, 2021, 115. Jg., S. 106954. https://doi.org/10.1016/j.aml.2020.106954 (externer Link, öffnet neues Fenster) preprint: https://www.researchgate.net/profile/Viktor-Shcherbakov/publication/347648611 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 13 |
| 35 | D. Knees, S. Owczarek, P. Neff: A local regularity result for the relaxed micromorphic model based on inner variations. Journal of Mathematical Analysis and Applications, 2023, 519. Jg., Nr. 2, S. 126806. https://doi.org/10.1016/j.jmaa.2022.126806 (externer Link, öffnet neues Fenster) preprint: https://arxiv.org/pdf/2208.04821 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 13, 15 |
| 36 | A. Rüland: Rigidity and Flexibility in the Modelling of Shape-Memory Alloys. Research in Mathematics of Materials Science, 2022, S. 501-515. https://doi.org/10.1007/978-3-031-04496-0_21 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 16 |
| 37 | A. Rüland, T.M. Simon: On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation. preprint: https://arxiv.org/abs/2210.04304 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 16 |
| 38 | F. Ernesti, J. Lendvai, M. Schneider: Investigations on the influence of the boundary conditions when computing the effective crack energy of random heterogeneous materials using fast marching methods. Computational Mechanics, 2022, S. 1-17. https://doi.org/10.1007/s00466-022-02241-3 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 18 |
| 39 | V. Hüsken: On prescribing the number of singular points in a Cosserat-elastic solid. ArXiv preprint. http://arxiv.org/abs/2211.11517 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 10 |
| 40 | S. Boddin, F. Rörentrop, D. Knees, J. Mosler: Approximation of balanced viscosity solutions of a rate-independent damage model by combining alternate minimization with a local minimization algorithm. preprint: https://arxiv.org/abs/2211.12940 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 13 |
| 41 | B. Kiefer, S. Prüger, O. Rheinbach, and F. Röver: Monolithic Parallel Overlapping Schwarz Methods in Fully-Coupled Nonlinear Chemo-Mechanics Problems. In: Comput Mech 71, 765–788 (2023). https://doi.org/10.1007/s00466-022-02254-y (externer Link, öffnet neues Fenster) Preprint: https://arxiv.org/abs/2212.00801 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 12 |
| 42 | A. Heinlein, O. Rheinbach, and F. Röver: Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer. SIAM Journal on Scientific Computing, 2022, Nr. 0, S. S173-S198. https://doi.org/10.1137/21M1431205 (externer Link, öffnet neues Fenster) preprint: https://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2021-03.pdf (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 12 |
| 43 | B. Kiefer, O. Rheinbach, S. Roth, and F. Röver: Variational Methods and Parallel Solvers in Chemo-Mechanics. PAMM, 2021, 20. Jg., Nr. 1, S. e202000272. https://doi.org/10.1002/pamm.202000272 (externer Link, öffnet neues Fenster) preprint: https://www.researchgate.net/profile/Bjoern-Kiefer/publication/348775402 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 12 |
| 44 | B. Kiefer, S. Prüger, O. Rheinbach, F. Röver, and S. Roth: Variational Settings and Domain Decomposition Based Solution Schemes for a Coupled Deformation-Diffusion Problem. PAMM, 2021, 21. Jg., Nr. 1, S. e202100163. https://doi.org/10.1002/pamm.202100163 (externer Link, öffnet neues Fenster) preprint: https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202100163 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 12 |
| 45 | A. Heinlein, A. Klawonn, O. Rheinbach, and F. Röver: A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space. Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145. Springer, Cham. 2023 https://doi.org/10.1007/978-3-030-95025-5_54 (externer Link, öffnet neues Fenster) preprint: https://www.researchgate.net/profile/Oliver-Rheinbach/publication/351056801 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 12 |
| 46 | A. Heinlein, O. Rheinbach, and F. Röver: Choosing the Subregions inThree-Level FROSch Preconditioners. in: WCCM-ECCOMAS, 2021. https://doi.org/10.23967/wccm-eccomas.2020.084 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 12 |
| 47 | M. Köhler, D. Balzani: Evolving Microstructures in Relaxed Continuum Damage Mechanics for Strain Softening. https://doi.org/10.1016/j.jmps.2023.105199 (externer Link, öffnet neues Fenster) preprint: https://arxiv.org/abs/2208.14695 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 2 |
| 48 | D. Balzani, M. Köhler, T. Neumeier, M. A. Peter, D. Peterseim: Multidimensional rank-one convexification of incremental damage models at finite strains. preprint: https://arxiv.org/abs/2211.14318 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 2 |
| 49 | A. Gastel, P. Neff: Regularity for a geometrically nonlinear flat Cosserat micropolar membrane shell with curvature. preprint: https://arxiv.org/abs/2211.10645 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 10, 15 |
| 50 | F. Behr, G. Dolzmann, K. Hackl, G. Jezdan: Analytical and numerical relaxation results for models in soil mechanics. Submitted to Cont. Mech. Thermodyn: https://arxiv.org/abs/2212.11783 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 7 |
| 51 | M. Santilli, B. Schmidt: Two phase models for elastic membranes with soft inclusions. preprint: https://arxiv.org/abs/2106.01120 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 17 |
| 52 | Friederike Röver: Multi-Level Extensions for the Fast and Robust Overlapping Schwarz Preconditioners. Dissertationsschrift BibTex (externer Link, öffnet neues Fenster) | 12 |
| 53 | M. Sarhil, L. Scheunemann, P. Neff, J. Schröder: On a tangential-conforming finite element formulation for the relaxed micromorphic model in 2D. https://doi.org/10.1002/pamm.202100187 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 15 |
| 54 | J. Schröder, M. Sarhil, L. Scheunemann, P. Neff: Lagrange and H(curl,β) based Finite Element formulations for the relaxed micromorphic model.https://doi.org/10.1007/s00466-022-02198-3 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 15 |
| 55 | M. Sarhil, L. Scheunemann, J. Schröder, P. Neff: Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model. preprint: https://arxiv.org/abs/2210.17117 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 15 |
| 56 | M. Sarhil, L. Scheunemann, P. Neff, J. Schröder: Modeling the size-effect of metamaterial beams under bending via the relaxed micromorphic continuum. BibTex (externer Link, öffnet neues Fenster) | 15 |
| 57 | A. Sky, M. Neunteufel, I. Münch, J. Schöberl, P. Neff: A hybrid H1 × H(curl) finite element formulation for a relaxed micromorphic continuum model of antiplane shear.https://doi.org/10.1007/s00466-021-02002-8 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 15 |
| 58 | A. Sky and M. Neunteufel and I. Muench and J. Schöberl and P. Neff: Primal and mixed finite element formulations for the relaxed micromorphic model. https://doi.org/10.1016/j.cma.2022.115298 (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 15 |
| 59 | B Raiţă, A Rüland, C Tissot, A Tribuzio: On Scaling Properties for a Class of Two-Well Problems for Higher Order Homogeneous Linear Differential Operators. preprint: https://arxiv.org/pdf/2306.14660.pdf (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 16 |
| 60 | Rüland, A Tribuzio: On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions. preprint: https://arxiv.org/pdf/2306.05740.pdf (externer Link, öffnet neues Fenster) BibTex (externer Link, öffnet neues Fenster) | 16 |