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2019

Sergio Conti, Martin Lenz, Nora Lüthen, Martin Rumpf and Barbara Zwicknagl
Geometry of martensite needles in shape memory alloys
2019
https://arxiv.org/abs/1912.02274

2018

M. Griebel, C. Rieger and B. Zwicknagl
Regularized Kernel-Based Reconstruction in Generalized Besov Spaces
Foundations of Computational Mathematics, 18(2): 459--508 2018
10.1007/s10208-017-9346-z
Michael Griebel, Christian Rieger and Peter Zaspel
Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations
2018
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint1813.pdf
M. Gubinelli, B. E. Ugurcan and I. Zachhuber
Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions
ArXiv e-prints 2018
https://arxiv.org/abs/1807.06825
Diogo Oliveira e Silva, Christoph Thiele and Pavel Zorin-Kranich
Band-limited maximizers for a Fourier extension inequality on the circle
arXiv e-prints: arXiv:1806.06605 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv180606605S

2017

Sergio Conti, Johannes Diermeier and Barbara Zwicknagl
Deformation concentration for martensitic microstructures in the limit of low volume fraction
Calc. Var. PDE, 56: 16 2017
10.1007/s00526-016-1097-1
S. Conti, M. Klar and B. Zwicknagl
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity
Proc. Roy. Soc. A, 473(2203) 2017
http://rspa.royalsocietypublishing.org/content/473/2203/20170235
Francesco Di Plinio, Shaoming Guo, Christoph Thiele and Pavel Zorin-Kranich
Square functions for bi-Lipschitz maps and directional operators
arXiv e-prints: arXiv:1706.07111 2017
https://ui.adsabs.harvard.edu/abs/2017arXiv170607111D
Angkana Rüland, Christian Zillinger and Barbara Zwicknagl
Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int($K^lc$)
2017
https://arxiv.org/abs/1709.02880

2016

Sergio Conti and Barbara Zwicknagl
Low volume-fraction microstructures in martensites and crystal plasticity
Math. Models Methods App. Sci.: 1319-1355 2016
10.1142/S0218202516500317
Angkana Rüland, Christian Zillinger and Barbara Zwicknagl
Higher Sobolev regularity of convex integration solutions in elasticity
2016
https://arxiv.org/abs/1610.02529

2015

Peter Bella, Michael Goldman and Barbara Zwicknagl
Study of Island Formation in Epitaxially Strained Films on Unbounded Domains
Arch. for Ration. Mech. and Anal., 218(1): 163-217 2015
http://dx.doi.org/10.1007/s00205-015-0858-x
Michael Griebel, Christian Rieger and Barbara Zwicknagl
Multiscale approximation and reproducing kernel Hilbert space methods
SIAM Journal on Numerical Analysis, 53(2): 852-873 2015
http://dx.doi.org/10.1137/130932144
Christian Zillinger
Linear inviscid damping for monotone shear flows in a finite periodic channel, boundary effects, blow-up and critical Sobolev regularity
Archive for Rational Mechanics and Analysis 2015
http://link.springer.com/article/10.1007/s00205-016-0991-1

2014

Irene Fonseca, Aldo Pratelli and Barbara Zwicknagl
Shapes of Epitaxially Grown Quantum Dots
Archive for Rational Mechanics and Analysis, 214(2): 359-401 2014
http://dx.doi.org/10.1007/s00205-014-0767-4
Stefan Müller, Lucia Scardia and Caterina Ida Zeppieri
Geometric rigidity for incompatible fields and an application to strain-gradient plasticity
Indiana Univ. Math. J., 63(5): 1365-1396 2014
http://dx.doi.org/10.1512/iumj.2014.63.5330
Marc A. Schweitzer and Albert Ziegenhagel
Dispersion Properties of the Partition of Unity Method & Explicit Dynamics
In M. Griebel and M. A. Schweitzer, editor, Meshfree Methods for Partial Differential Equations VII, Volume 100 of Lecture Notes in Computational Science and Engineering
Chapter 14, page 269-292.
Publisher: Springer International
2014

http://dx.doi.org/10.1007/978-3-319-06898-5_14
Christian Zillinger
Linear Inviscid Damping for Monotone Shear Flows
2014
http://arxiv.org/abs/1410.7341

2013

Sven Beuchler, Veronika Pillwein and Sabine Zaglmayr
Sparsity optimized high order finite element functions for $H(\romancurl)$ on tetrahedra
Adv. in Appl. Math., 50(5): 749--769 2013
http://dx.doi.org/10.1016/j.aam.2012.11.004
Sven Beuchler, Veronika Pillwein and Sabine Zaglmayr
Fast summation techniques for sparse shape functions in tetrahedral $hp$-FEM
In Domain decomposition methods in science and engineering {XX}, Volume 91 of Lect. Notes Comput. Sci. Eng.
page 511--518.
Publisher: Springer, Heidelberg
2013

http://dx.doi.org/10.1007/978-3-642-35275-1_60