Publications 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://iopscience.iop.org/article/10.1088/1361-6544/abfca9/pdf (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://www.researchgate.net/profile/Viktor-Shcherbakov/publication/347648611 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://arxiv.org/pdf/2108.00937 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://arxiv.org/abs/2104.05496 (external link, opens in a new window) BibTex | 16 |
| 13 | S. Bartels, A. Bonito, P. Tscherner: Error Estimates For A Linear Folding Model. preprint: https://arxiv.org/abs/2205.05720 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://arxiv.org/abs/2206.05164 (external link, opens in a new window) BibTex | 16 |
| 15 | M. Santilli, B. Schmidt: A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions. preprint: https://arxiv.org/abs/2205.04512 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://www.researchgate.net/profile/Yangyiwei-Yang-2/publication/358106050 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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. (external link, opens in a new window) BibTex | 5, 6 |
| 25 | S. Conti, F. Hoffmann, and M. Ortiz: Model-free data-driven inference. preprint: arXiv:2106.02728 (2021) (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://www.math.nyu.edu/~kohn/papers/ContiKohnMisiats-M3AS.pdf (external link, opens in a new window) BibTex | 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) (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 14 |
| 30 | Alexander Mielke, Ricarda Rossi: Balanced-viscosity solutions to infinite-dimensional multi-rate systems. WIAS, preprint: arXiv: 2112.01794 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://www.researchgate.net/profile/Viktor-Shcherbakov/publication/347648611 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://arxiv.org/pdf/2208.04821 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 18 |
| 39 | V. Hüsken: On prescribing the number of singular points in a Cosserat-elastic solid. https://doi.org/10.1515/acv-2023-0110 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) Preprint: https://arxiv.org/abs/2212.00801 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2021-03.pdf (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://www.researchgate.net/profile/Bjoern-Kiefer/publication/348775402 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202100163 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://www.researchgate.net/profile/Oliver-Rheinbach/publication/351056801 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) preprint: https://arxiv.org/abs/2208.14695 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 7 |
| 51 | M. Santilli, B. Schmidt: Two phase models for elastic membranes with soft inclusions. preprint: https://arxiv.org/abs/2106.01120 (external link, opens in a new window) BibTex | 17 |
| 52 | Friederike Röver: Multi-Level Extensions for the Fast and Robust Overlapping Schwarz Preconditioners. Dissertationsschrift BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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 | 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 (external link, opens in a new window) BibTex | 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 (external link, opens in a new window) BibTex | 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://doi.org/10.1137/23M1588287 (external link, opens in a new window) BibTex | 16 |
| 60 | Rüland, A Tribuzio: On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions. preprint: https://doi.org/10.1007/s10659-024-10075-8 (external link, opens in a new window) BibTex | 16 |