Publikationen
Table of contents
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Preprints
- with M. Heida and M. Varga: Stochastic two-scale convergence and Young measures. arXiv Preprint
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with L. Lauerbach, M. Schäffner and A. Schlömerkemper:
Mechanical behaviour of heterogeneous nanochains in the Γ-limit of stochastic particle systems. arXiv preprint
2022
- with M. Heida and M. Varga: Stochastic two-scale convergence and Young measures. Networks and Heterogeneous Media (accepted) arXiv Preprint
2021
- with J. Fischer: Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. Archive for Rational Mechanics and Analysis (accepted) https://arxiv.org/abs/1908.02273
- with M. Heida and M. Varga: Stochastic homogenization of Λ-convex gradient flows. Discrete and Continuous Dynamical Systems Series S 14 (1), 427-453, 2021 https://arxiv.org/abs/1905.02562
2020
- with M. Varga and M. Waurick: Two-scale homogenization of abstract linear time-dependent PDEs. Asymptotic Analysis (accepted) https://arxiv.org/abs/1905.02945
- with R. Bauer and M. Schäffner: Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain. Journal of Elasticity 141, 109-145, 2020
https://arxiv.org/abs/1903.08290 - with A. Gloria and F. Otto: Quantitative estimates in stochastic homogenization for correlated coefficient fields. Analysis & PDE (accepted) https://arxiv.org/abs/1910.05530
2019
- with L. Lauerbach, M. Schäffner, A. Schlömerkemper: Continuum Limit and Homogenization of Stochastic and Periodic Discrete Systems–Fracture in Composite Materials, PAMM 19 (1)
- with H. Hoppe and J. Masamune: H-compactness of elliptic operators on weighted Riemannian Manifolds. Interdisciplinary Information Sciences (accepted) arXiv preprint
- with M. Schäffner: Lipschitz estimates and existence of correctors for nonlinearly elastic, periodic composites subject to small strains. Calculus of Variations and Partial Differential Equations (accepted). arXiv preprint
2018
- with S. Andres: Berry-Esseen Theorem and quantitative homogenization for the random conductance model with degenerate conductances. Stochastics and Partial Differential Equations: Analysis and Computations (online first), arXiv preprint
- An introduction to the qualitative and quantitative theory of homogenization,
(lecture notes for the GSIS Internation Winter School on "Stochastic homogenization" 2017, Tohoku University, Sendai, Japan), Interdisciplinary Information Sciences 24(1):1-48, 2018. arXiv preprint. - with M. Schäffner: Quantitative homogenization in nonlinear elasticity
for small loads. Archive for Rational Mechanics and Analysis (accepted), arXiv preprint
- with M. Varga: Stochastic unfolding and homogenization of spring network models. SIAM MMS (accepted). arXiv preprint
2017
- with M. Rossi, T. Wallmersperger and K. Padberg-Gehle: Modeling and Simulation of Electrochemical Cells under Applied Voltage. Electrochimica Acta (in print) [paper]
- with M. Cherdantsev and K. Cherednichenko: Homogenisation in finite elasticity for composites with a high contrast in the vicinity of rigid-body motions. Asymptotic Analysis (accepted) [preprint version].
- with M. Schäffner and A. Schlömerkemper: Stochastic homogenization of nonconvex discrete energies with degenerate growth. SIAM Journal on Mathematical Analysis (accepted) [arXiv preprint]
- with J. Ben-Artzi, D. Marahrens: Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations. Communications in Partial Differential Equations (accepted) [arXiv preprint].
2016
- Mathematical multiscale analysis in continuum mechanics. MFO Report No. 17/2016
2015
- Quantitative stochastic homogenization of elliptic equations. MFO Report No. 35/2015
- with A. Lamacz and F. Otto: Moment bounds for the corrector in stochastic homogenization of a percolation model. Electron. J. Probab. 20, no. 106, 1–30 2015. [article].
- with H. Olbermann: Homogenization of the nonlinear bending theory for plates. Calculus of Variations and Partial Differential Equations 53:719–753 2015. [preprint version]
- with A. Gloria and F. Otto: Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics.Inventiones mathematicae, 199(2):455-515 2015, [MPI preprint, MPI preprint (long version)].
2014
- with P. Hornung and I. Velcic: Derivation of a homogenized nonlinear plate theory from 3d elasticity. Calculus of Variations and Partial Differential Equations 51(3-4):677-699 2014, [preprint version]
- with A. Gloria and F. Otto: An optimal quantitative two-scale expansion in stochastic homogenization of discrete linear elliptic equations,ESAIM: Mathematical Modelling and Numerical Analysis, 48:325-346 2014. [article], [MPI preprint]
2013
- with I. Velcic: Derivation of a Homogenized Von-Kármán Plate Theory from 3d Nonlinear Elasticity. Mathematical Models and Methods in Applied Sciences, 23(14):2701-2748, 2013. online first, [preprint version]
2012
- Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from 3d elasticity. Archive for Rational Mechanics and Analysis 206(2):645-706 2012. [preprint version]
2011
- with A. Gloria: Commutability of homogenization and linearization at identity in finite elasticity and applications. Annales de l'Institut Henri Poincare (C) 28(6):941-964 2011. [preprint version]
- with S. Müller: On the commutability of homogenization and linearization in finite elasticity. Archive for Rational Mechanics and Analysis 201(2):465-500 2011. [preprint version]
- with P. E. Stelzig: On the interplay of two-scale convergence and translation. Asymptotic Analysis 71(3):163-183, 2011. [preprint version]
2010
- Homogenization, linearization and dimension reduction in elasticity with variational methods. Dissertation Technische Universität München,2010. [pdf]