(with A. Rüland and C. Zillinger) Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Planar Geometrically Linearized Hexagonal-to-Rhombic Phase Transformation, to appear in Journal of Elasticity, (preprint [arXiv])
Peer-reviewed journal publications
(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]
(with S. Conti and M. Klar) Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity, Proceedings of the Royal Society A473(2203), (2017)
(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]
(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]
(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]
(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]
(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]
(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]
(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]
(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]
(with C. Rieger) Improved Exponential Convergence Rates by Oversampling Near the Boundary, Constructive Approximation 39(2), pp. 323-341 (2014), [article]
(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]
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]
(with R. Schaback) Interpolation and Approximation in Taylor Spaces, Journal of Approximation Theory 171, pp. 65-83 (2013), [article], [preprint]
(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]
(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)
Power series kernels, Constructive Approximation 29, pp. 61-84 (2009), [article] (open access)
Peer-reviewed conference proceeding
(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]
Other reports
(with P. Bella, I. Fonseca, M. Goldman and A. Pratelli) Epitaxially strained crystalline films: Scaling regimes and beyond, Oberwolfach report No. 54/2013, pp. 3185-3186
(with S. Conti and J. Diermeier) Low volume-fraction microstructures in shape memory alloys, Oberwolfach report No. 17/2016, pp. 861-863