Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Barbara Zwicknagl - Publikationen

 

Preprints 

 

  1. (with T. Fastovska and J. Ginster) Derivation of the Reissner-Mindlin model from nonlinear elasticity, submitted (2025) [arXiv]

  2. (with J. Ginster and M. Koser) Microstructures in a two-dimensional frustratd spin system: Scaling regimes and a discrete-to-continuum limit, submitted (2024) [arXiv]


Peer-reviewed publications

    1. (with J. Ginster and A. Pesic) Nonlinear interpolation inequalities with fractional Sobolev norms and pattern formation in biomembranes, accepted for publication in Calculus of Variations and PDE (2025) [arXiv]

    2. (with J. Ginster, A. Tribuzio and A. Rüland) On the effect of geometry on scaling laws for a class of martensitic phase transformations, Annales de l'Institut Henri Poincare, Analyse Non Lineaire, online first (2025) [arXiv]

    3. (with J. Ginster and L. Neubauer) A scaling law for a model of epitaxially strained elastic films with dislocations, Archive for Rational Mechanics and Analysis 249, 59 (2025), link (open access)

    4. (with J. Ginster, G. Hayrapetyan, and A. Pesic) A sharp interface limit of a nonlocal variational model for pattern formation in biomembranes, SIAM Journal on Mathematical Analysis 56(3), pp. 2818 -- 2862 link (2024), [CVGMT preprint]

    5. (with J. Ginster) Energy scaling laws for microstructures: from helimagnets to martensites, Calculus of Variations and Partial Differential Equations  63:8 (2024), link (open access)

    6. (with S. Conti, M. Lenz, M. Rumpf, and J. Verhülsdonk) Microstructure of macrointerfaces in shape-memory alloys, Journal of the Mechanics and Physics of Solids 179, 105343 (2023), link

    7. (with S. Conti, M. Lenz, M. Rumpf, and J. Verhülsdonk) Geometry of needle-like microstructures in shape-memory alloys, Shape Memory and Supererlasticity, invited submission selected from presentations at ESOMAT 2022,  link (2023)

    8. (with S. Conti) The tapering length of needles in martensite/martensite macrotwins, Archive for Rational Mechanics and Analysis 247:63 (2023),  link (open access)
       
    9. (with J. Ginster) Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism, Journal of Nonlinear Sciences 33, 20 (2023), link (open access)

    10. (with S. Conti, J. Diermeier, and M. Koser) Asymptotic Self-Similarity of Minimizers and Local Bounds in a Model of Shape-Memory Alloys, Journal of Elasticity 147, pp. 149-200 (2021), link (open access)

       

    11. (with S. Conti, M. Lenz, N. Lüthen, and M. Rumpf) Geometry of martensite needles in shape memory alloys, Comptes Rendus Math. 9-10, pp. 1047-1057 (2020) [arXiv]

    12. (with S. Conti, J. Diermeier, and D. Melching) Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys, ESAIM:COCV 26, 115 (2020) [arXiv]

    13. (with P. Cesana, F. Della Porta, A. Rüland and C. Zillinger) Exact Constructions in the (Non-Linear) Planar Theory of Elasticity: From Elastic Crystals to Nematic Elastomers,  Archive for Rational Mechanics and Analysis 237(1), pp. 383-445 (2020) [arXiv]
       
    14. (with A. Rüland and C. Zillinger) Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Planar Geometrically Linearized Hexagonal-to-Rhombic Phase Transformation, Journal of Elasticity 138, pp. 1-76 (2020) (open access)
       
    15. (with A. Rüland and C. Zillinger) Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int($K^{lc}$), SIAM J. Math. Anal. 50(4), pp. 3791-3841 (2018) [arXiv]
       
    16. (with M. Griebel and C. Rieger) Regularized kernel based reconstruction in generalized Besov spaces, Foundations of Computational Mathematics 18(2), pp. 459-508 (2018), DOI: 10.1007/s10208-017-9346-z, [INS preprint]

    17. (with S. Conti and M. Klar) Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity, Proceedings of the Royal Society A 473(2203), (2017)

    18. (with S. Conti and J. Diermeier) Deformation concentration for martensitic microstructures in the limit of low volume fraction, Calculus of Variations and Partial Differential Equations 56:16 (2017), [arXiv]

    19. (with I. Fonseca, G. Hayrapetyan and G. Leoni) Domain formation in membranes near the onset of instability, Journal of Nonlinear Science 26 (5), pp. 1191-1225 (2016), [CNA preprint]

    20. (with S. Conti) Low volume-fraction microstructures in martensites and crystal plasticity, Mathematical Models and Methods in Applied Sciences 26, pp.1319-1355 (2016) [arXiv]

    21. (with P. Bella and M. Goldman) Study of island formation in epitaxially strained films on unbounded domains, Archive for Rational Mechanics and Analysis 218(1), pp. 163-217 (2015), [article], [arXiv]

    22. (with M. Griebel and C. Rieger) Multiscale approximation and reproducing kernel Hilbert space methods, SIAM Journal on Numerical Analysis 53(2), pp. 852-873 (2015), [article], [INS preprint]

    23. (with I. Fonseca and A. Pratelli) Shapes of epitaxially grown quantum dots, Archive for Rational Mechanics and Analysis 214(2), pp. 359-401 (2014), [article], [CNA preprint]

    24. (with M. Goldman) Scaling law and reduced models for epitaxially strained crystalline films, SIAM Journal on Mathematical Analysis 46, pp. 1-24 (2014), [article], [CNA preprint]

    25. (with C. Rieger) Improved Exponential Convergence Rates by Oversampling Near the Boundary, Constructive Approximation 39(2), pp. 323-341 (2014), [article]

    26. (with R. Choksi and I. Fonseca) A few remarks on variational models for denoising, Communications in Mathematical Sciences 12(5), pp. 843-857 (2014),  [article], [CNA preprint]

    27. Microstructures in low-hysteresis shape memory alloys: scaling regimes and optimal needle shapes, Archive for Rational Mechanics and Analysis 213(2), pp. 355-421 (2014), [article], [CNA preprint]

    28. (with R. Schaback) Interpolation and Approximation in Taylor Spaces, Journal of Approximation Theory 171, pp. 65-83 (2013), [article], [preprint]

    29. (with C. Rieger) Sampling Inequalities for Infinitely Smooth Functions, with Applications to Interpolation and Machine Learning, Advances in Computational Mathematics 32 pp. 103-129 (2010), [article], [MPI MiS preprint]

    30. (with C. Rieger and R. Schaback) Sampling and Stability, in M. Dahlen et al. (Eds.): Mathematical Methods for Curves and Surfaces 2008, Lecture Notes in Computer Science 5862, pp. 347–369 (2010), [article]

    31. (with C. Rieger) Deterministic Error Analysis of Support Vector Regression and Related Regularized Kernel Methods, Journal of Machine Learning Research 10, pp. 2115-2132 (2009), [article] (open access)

    32. Power series kernels, Constructive Approximation 29, pp. 61-84 (2009), [article] (open access)