Preprints - IAM Publications


	2018 W. Schill, S. Heyden, S. Conti and M. Ortiz The anomalous yield behavior of fused silica glass Journal of the Mechanics and Physics of Solids, 113: 105 - 125 2018 10.1016/j.jmps.2018.01.004

	2017 Mathias Beiglböck, Alexander M. G. Cox and Martin Huesmann he geometry of multi-marginal Skorokhod embedding arxiv e-print 1705.09505 2017 https://arxiv.org/abs/1705.09505

	Behrend Heeren, Martin Rumpf and Benedikt Wirth Variational time discretization of Riemannian splines IMA J. Numer. Anal. 2017 https://arxiv.org/abs/1711.06069

	2016 Beatrice Acciaio, Alexander M. G. Cox and Martin Huesmann Model-independent pricing with insider information: A Skorokhod embedding approach arxiv e-print 1610.09124 2016 https://arxiv.org/abs/1610.09124

	Sebastian Andres and Lisa B. Hartung Diffusion processes on branching Brownian motion 2016 https://arxiv.org/abs/1607.08132

	S. Andres and L. Hartung Diffusion processes on branching Brownian motion ArXiv e-prints 2016 http://adsabs.harvard.edu/abs/2016arXiv160708132A

	Patrick W. Dondl, Behrend Heeren and Martin Rumpf Optimization of the branching pattern in coherent phase transitions C. R. Math. Acad. Sci. Paris, 354(6): 639--644 2016 https://arxiv.org/abs/1512.06620 Abstract: Branching can be observed at the austenite-martensite interface of martensitic phase transformations. For a model problem, Kohn and Müller studied a branching pattern with optimal scaling of the energy with respect to its parameters. Here, we present finite element simulations that suggest a topologically different class of branching patterns and derive a novel, low dimensional family of patterns. After a geometric optimization within this family, the resulting pattern bears a striking resemblance to our simulation. The novel microstructure admits the same scaling exponents but results in a significantly lowered upper energy bound.

	Michael Herrmann, Barbara Niethammer and Juan J. L. Velázquez Instabilities and oscillations in coagulation equations with kernels of homogeneity one 2016 http://arxiv.org/abs/1606.09405

	Susanne Hilger Scaling limit and convergence of smoothed covariance for gradient models with non-convex potential arXiv e-prints: arXiv:1603.04703 2016 https://ui.adsabs.harvard.edu/abs/2016arXiv160304703H

	Richard Höfer and Juan JL Velázquez The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains 2016 http://arxiv.org/abs/1603.06750

	Peter Hornung, Martin Rumpf and Stefan Simon Material Optimization for Nonlinearly Elastic Planar Beams 2016 http://arxiv.org/abs/1604.02267

	2015 Mathias Beiglböck, Martin Huesmann and Florian Stebegg Root to Kellerer ArXiv e-print 2015 http://arxiv.org/abs/1507.07690

	Mathias Beiglböck, Alexander M. G. Cox, Martin Huesmann, Nicolas Perkowski and David J. Prömel Pathwise super-replication via Vovk's outer measure ArXiv e-prints 2015 http://arxiv.org/abs/1504.03644

	S. Beuchler, K. Hofer, D. Wachsmuth and J.-E. Wurst Boundary concentrated finite elements for optimal control problems with distributed observation Comput. Optim. Appl., 62(1): 31--65 2015 http://dx.doi.org/10.1007/s10589-015-9737-5

	Anton Bovier and Lisa B. Hartung Variable speed branching Brownian motion 1. Extremal processes in the weak correlation regime Lat. Am. J. Probab. Math. Stat., 12(1): 261-291 2015 http://alea.impa.br/articles/v12/12-11.pdf Abstract: We prove the convergence of the extremal processes for variable speed branching Brownian motions where the ”speed functions”, that describe the timeinhomogeneous variance, lie strictly below their concave hull and satisfy a certain weak regularity condition. These limiting objects are universal in the sense that they only depend on the slope of the speed function at 0 and the final time t. The proof is based on previous results for two-speed BBM obtained in Bovier and Hartung (2014) and uses Gaussian comparison arguments to extend these to the general case.

	Matthias Erbar and Martin Huesmann Curvature bounds for configuration spaces Calculus of Variations and Partial Differential Equations, 54(1): 397-430 2015 http://dx.doi.org//10.1007/s00526-014-0790-1

	Michael Griebel, Alexander Hullmann and Oeter Oswald Optimal scaling parameters for sparse grid discretizations Numerical Linear Algebra with Applications, 22(1): 76-100 2015 http://dx.doi.org/10.1002/nla.1939 Abstract: We apply iterative subspace correction methods to elliptic PDE problems discretized by generalized sparse grid systems. The involved subspace solvers are based on the combination of all anisotropic full grid spaces that are contained in the sparse grid space. Their relative scaling is at our disposal and has significant influence on the performance of the iterative solver. In this paper, we follow three approaches to obtain close-to-optimal or even optimal scaling parameters of the subspace solvers and thus of the overall subspace correction method. We employ a Linear Program that we derive from the theory of additive subspace splittings, an algebraic transformation that produces partially negative scaling parameters which result in improved asymptotic convergence properties, and finally we use the OptiCom method as a variable non-linear preconditioner.

	Lisa B. Hartung and Anton Klimovsky The glassy phase of the complex branching Brownian motion energy model Electron. Commun. Probab., 20(Art. 78): 1-15 2015 http://dx.doi.org/10.1214/ECP.v20-4360

	Stefanie Heyden, Bo Li, Kerstin Weinberg, Sergio Conti and Michael Ortiz A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity J. Mech. Phys. Solids, 74: 175-195 2015 http://dx.doi.org/10.1016/j.jmps.2014.08.005

	Stefanie Heyden, Sergio Conti and Michael Ortiz A nonlocal model of fracture by crazing in polymers Mech. Materials, 90: 131-139 2015 http://dx.doi.org/10.1016/j.mechmat.2015.02.006 Abstract: We derive and numerically verify scaling laws for the macroscopic fracture energy of poly- mers undergoing crazing from a micromechanical model of damage. The model posits a local energy density that generalizes the classical network theory of polymers so as to account for chain failure and a nonlocal regularization based on strain-gradient elasticity. We specifically consider periodic deformations of a slab subject to prescribed opening dis- placements on its surfaces. Based on the growth properties of the energy densities, scaling relations for the local and nonlocal energies and for the specific fracture energy are derived. We present finite-element calculations that bear out the heuristic scaling relations.

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