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Publications 2020/2023

NumberPublicationCorresponding Projekt
1P. 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. BibTex5, 15
2W. 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. BibTex6
3P. 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. BibTex5
4P. 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 BibTex5
5P. 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. BibTex5
6P. 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. BibTex5
7S. Conti, G. Dolzmann: Numerical Study of Microstructures in Multiwell Problems in Linear Elasticity. Variational Views in Mechanics. Birkhäuser, Cham, 2021. S. 1-29. BibTex5, 7
8F. 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. preprint: BibTex16
9A. 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. BibTex16
10D. Knees, V. Shcherbakov: A penalized version of the local minimization scheme for rate-independent systems. Applied Mathematics Letters, 2021, 115. Jg., S. 106954. preprint: BibTex13
11S. Bartels, A. Bonito, P. Hornung: Modeling and simulation of thin sheet folding. Interfaces and Free Boundaries, 2022. preprint: BibTex1
12A. 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. preprint: BibTex

13S. Bartels, A. Bonito, P. Tscherner: Error Estimates For A Linear Folding Model. preprint: BibTex1
14A. Rüland,A. Tribuzio: On Scaling Laws for Multi-Well Nucleation Problems without Gauge Invariances. Journal of Nonlinear Science, 2023, vol. 33, nr. 25. preprint: BibTex16
15M. Santilli, B. Schmidt: A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions. preprint: BibTex17
16B. Schmidt, J. Zeman: A bending-torsion theory for thin and ultrathin rods as a Γ-limit of atomistic models. preprint: BibTex17
17B. Schmidt, J. Zeman: A continuum model for brittle nanowires derived from an atomistic description by Γ-convergence. preprint: BibTex17

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 BibTex

19A. Brunk, H. Egger, O. Habrich, and M. Lukacovy-Medvidova: A structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system. preprint: BibTex9
20A. Brunk, H. Egger, and O. Habrich: On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation. preprint:  BibTex9
21A. Brunk, H. Egger, O. Habrich, and M. Lukacova-Medvidova: Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility. Preprint: BibTex9
22Y. 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. preprint: BibTex9
23H. Egger, O. Habrich, and V. Shashkov: Energy stable Galerkin approximation of Hamiltonian and gradient systems. Comput. Meth. Appl. Math. 21 (2021), BibTex9
24P. 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. BibTex5,6
25S. Conti, F. Hoffmann, and M. Ortiz: Model-free data-driven inference. preprint: arXiv:2106.02728 (2021) BibTex5
26S. 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. preprint: BibTex5
27S. Conti, M. Focardi, and F. Iurlano: Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy. preprint: arXiv:2205.06541(2022) BibTex5
28Vaios Laschos, Alexander Mielke: Evolutionary Variational Inequalities on the Hellinger-Kantorovich and the spherical Hellinger-Kantorovich spaces. preprint: BibTex14
29Alexander Mielke, Thomas Roubicek: Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults. WIAS, preprint arXiv: 2207.1107 BibTex14
30Alexander Mielke, Ricarda Rossi: Balanced-viscosity solutions to infinite-dimensional multi-rate systems. WIAS, preprint: arXiv: 2112.01794 BibTex14
31J. 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: BibTex4
32X. Zhou, Y. Yang, S. Bharech, B. Lin, J. Schröder, B.-X. Xu3D‐multilayer simulation of microstructure and mechanical properties of porous materials by selective sintering. GAMM‐Mitteilungen, 2021, 44. Jg., Nr. 4, S. e202100017. BibTex9, 15
33T. D. Oyedeji, Y. Yang, H. Egger, B.-X. Xu: Variational quantitative phase-field modeling of non-isothermal sintering process. preprint: BibTex9
34D. Knees, V. Shcherbakov: A penalized version of the local minimization scheme for rate-independent systems. Applied Mathematics Letters, 2021, 115. Jg., S. 106954. preprint: BibTex13
35D. 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. preprint: BibTex13,15
36A. Rüland: Rigidity and Flexibility in the Modelling of Shape-Memory Alloys. Research in Mathematics of Materials Science, 2022, S. 501-515. BibTex16
37A. Rüland, T.M. Simon: On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation.  preprint: BibTex



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. BibTex


V. Hüsken: On prescribing the number of singular points in a Cosserat-elastic solid. ArXiv preprint. BibTex


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: BibTex


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). Preprint: BibTex


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. preprint: BibTex


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. preprint: BibTex


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.  preprint: BibTex


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 preprint: BibTex


A. Heinlein, O. Rheinbach, and F. Röver: Choosing the Subregions inThree-Level FROSch Preconditioners.  in: WCCM-ECCOMAS, 2021. BibTex

47M. Köhler, D. Balzani: Evolving Microstructures in Relaxed Continuum Damage Mechanics for Strain Softening. preprint: BibTex
48D. Balzani, M. Köhler, T. Neumeier, M. A. Peter, D. Peterseim: Multidimensional rank-one convexification of incremental damage models at finite strains. preprint: BibTex2

A. Gastel, P. Neff: Regularity for a geometrically nonlinear flat Cosserat micropolar membrane shell with curvature. preprint: BibTex

10, 15

F. Behr, G. Dolzmann, K. Hackl, G. Jezdan: Analytical and numerical relaxation results for models in soil mechanics. Submitted to Cont. Mech. Thermodyn: BibTex

51M. Santilli, B. Schmidt: Two phase models for elastic membranes with soft inclusions. preprint: BibTex


52Friederike Röver: Multi-Level Extensions for the Fast and Robust Overlapping Schwarz Preconditioners. Dissertationsschrift BibTex12
53M. Sarhil, L. Scheunemann, P. Neff, J. Schröder: On a tangential-conforming finite element formulation for the relaxed micromorphic model in 2D. BibTex15
54J. Schröder, M. Sarhil, L. Scheunemann, P. Neff: Lagrange and H(curl,β) based Finite Element formulations for the relaxed micromorphic model. BibTex15
55M. 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: BibTex15
56M. Sarhil, L. Scheunemann, P. Neff, J. Schröder: Modeling the size-effect of metamaterial beams under bending via the relaxed micromorphic continuum. BibTex15
57A. 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. BibTex15
58A. Sky and M. Neunteufel and I. Muench and J. Schöberl and P. Neff: Primal and mixed finite element formulations for the relaxed micromorphic model. BibTex15

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: BibTex


A Rüland, A Tribuzio: On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions. preprint: BibTex