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Book of Abstracts GESELLSCHAFT für ANGEWANDTE MATHEMATIK und MECHANIK e.V. INTERNATIONAL ASSOCIATION of APPLIED MATHEMATICS and MECHANICS th 88 Annual Meeting of the International Association of Applied Mathematics and Mechanics March 6-10, 2017 Weimar, Germany Foto: Bauhaus Weimar by Sailko Book of abstracts Ilmenau@Weimar www.gamm2017.de Contents 1 Plenary Lectures 3 Ludwig Prandtl Memorial Lecture ......................... 3 Richard von Mises Lectures ............................. 6 2 Minisymposia 11 M 1: Innovative Discretization Methods, Mechanical and Mathematical Inves- tigations ..................................... 11 M 2: Recent Trends in Phase-Field Modelling ................... 15 M 3: Dislocation-based Plasticity: State of the Art and Challenges ....... 21 M 4: Nonlinear Approximations for High-dimensional Problems ......... 24 M 5: Structured Preudospectra and Stability Radii: Applications and Compu- tational Issues .................................. 26 M 6: Turbulent Liquid Metal and Magnetohydrodynamic Flows ......... 28 M 7: Flow Separation and Vortical Phenomena: Simulation in Progress .... 31 3 Young Researchers’ Minisymposia 37 YR 1: Computational Shape Optimization ..................... 37 YR 2: Computational Techniques for Bayesian Inverse Problems ........ 39 YR 3: Local and Nonlocal Methods for Processing Manifolds and Point Cloud Data ....................................... 41 4 DFG Priority Programmes 45 DFG-PP 1: Turbulent Superstructures ...................... 45 DFG-PP 2: Reliable Simulation Techniques in Solid Mechanics. Development of Non-standard Discretization Methods, Mechanical and Mathematical Analysis .................................... 49 DFG-PP 4: Field Controlled Particle Matrix Interactions: Synthesis Multiscale Modeling and Application of Magnetic Hybrid Materials .......... 54 DFG-PP 5: Calm, Smooth and Smart ....................... 66 DFG-PP 6: Non-smooth and Complementary-based Distributed Parameter Systems: Simulation and Hierarchical Optimization ............. 71 DFG-PP 7: Polymorphic Uncertainty Modeling for the Numerical Design of Structures .................................... 75 5 Poster Session 83 Poster Session ..................................... 83 2 Contents 6 Sections 93 S 1: Multi-body dynamics .............................. 93 S 2: Biomechanics .................................. 112 S 3: Damage and fracture mechanics ........................ 139 S 4: Structural mechanics .............................. 164 S 5: Nonlinear oscillations .............................. 200 S 6: Material modelling in solid mechanics ..................... 214 S 7: Coupled problems ................................ 271 S 8: Multiscales and homogenization ........................ 319 S 9: Laminar flows and transition .......................... 348 S 10: Turbulence and reactive flows ........................ 355 S 11: Interfacial flows ................................ 365 S 12: Waves and acoustics .............................. 381 S 13: Flow control .................................. 394 S 14: Applied analysis ................................ 400 S 15: Uncertainty Quantification .......................... 416 S 16: Optimization .................................. 429 S 17: Applied and numerical linear algebra .................... 436 S 18: Numerical methods of differential equations ................. 449 S 19: Optimization of differential equations .................... 462 S 20: Dynamics and control ............................. 472 S 21: Mathematical signal and image processing ................. 495 S 22: Scientific computing .............................. 508 S 23: Applied operator theory ............................ 528 Index of persons 535 1 Plenary Lectures Ludwig Prandtl Memorial Lecture 06.03.2017 14:00-15:00 Chair: Martin Oberlack (Technische Universität Weimar hall, Large hall Darmstadt) Some variants of classical multiphase flow problems Howard Stone (Princeton University) I will briefly discuss three problems that have classical roots and in each case seek to add one new feature to a modern version of the problem. In the first problem the Saffman-Taylor viscous fingering problem is discussed for the case that there are geo- metric variations in the flow directions – we show via experiments and theory that such changes can significantly modify the stability features of the flow. In the second problem we consider the low Reynolds number motion of a hot sphere in a fluid accounting for the variations of the viscosity with temperature – we show that the Lorentz Reciprocal Theorem provides a means to construct an analytical representation of the force and torque on the sphere for the case of small viscosity variations. Finally, we present exper- iments of unexpected dynamics in modest Reynolds number flows at a T-junction and rationalize the results by demonstrating the connections to vortex breakdown. Plenary Lecture 1 06.03.2017 15:00-16:00 Chair: Jörg Schumacher (TU Ilmenau) Weimar hall, Large hall The h-principle in fluid mechanics: non-uniqueness and energy dissipation László Székelyhidi (Leipzig) It is known since the pioneering work of Scheffer and Shnirelman in the 1990s that weak solutions of the incompressible Euler equations behave very differently from classical solutions, in a way that is very difficult to interpret from a physical point of view. Nev- ertheless, weak solutions in three space dimensions have been studied in connection with a long-standing conjecture of Lars Onsager from 1949 concerning anomalous dissipation and, more generally, because of their possible relevance to Kolmogorov’s K41 theory of turbulence. In joint work with Camillo De Lellis we established a connection between the theory of weak solutions of the Euler equations and the Nash-Kuiper theorem on rough isometric immersions. Through this connection we can interpret the wild behaviour of weak solutions of the Euler equations as an instance of Gromov’s celebrated h-principle. In this lecture I will explain this connection and outline the most recent progress con- cerning Onsager’s conjecture. 4 Plenary Lectures Plenary Lecture 2 06.03.2017 16:30-17:30 Chair: Carsten Könke (Bauhaus-Universität Weimar) Weimar hall, Large hall Stochastic structural mechanics - from probability theory to structural design Christian Bucher (Wien) Structural mechanics since its beginnings has developed very strongly with respect to more accurate modelling and analysis. A key role in this development play numerical methods, especially those based on the concept of finite elements. This high degree of presision, however, is undermined by imprecise and/or incomplete knowledge about the describing parameters of the models and the environmental actions on the structures, such as e.g. wind or earthquakes. Even with a substantially increased effort for ex- perimental evidence, it is frequently not possible to arrive at deterministic descriptions for these parameters. Therefore uncertainty-based (e.g. probabilistic) analysis becomes mandatory. This lecture will highlight some selected points how stochastic structural mechanics can contribute to solve open problems related to the development of struc- tural design procedures. Plenary Lecture 3 06.03.2017 17:30-18:30 Chair: Thomas Hotz (TU Ilmenau) Weimar hall, Large hall Uncertainty Quantification: Propagation and Inference Oliver Ernst (Chemnitz) The dynamically growing scientific discipline of Uncertainty Quantification (UQ) ad- dresses the numerous sources of uncertainty in complex simulations of scientific and engineering phenomena in order to assess the validity, reliability and robustness of the results of such simulations. In this regard, it represents a key enabling technology for what is now called Predictive Computational Science. In this talk we focus on two key UQ components. The first, uncertainty propagation, is concerned with solving a random differential equation, by which is meant a differential equation containing uncertain data modeled by a probability law. We highlight recent developments in collocation methods which address the situation where the uncertain data is parameterized by a countably infinite number of random parameters. In the second part of the talk we present numerical methods for performing Bayesian inference on such random data as a systematic way of merging observational data with a given probabilistic model. The challenge here is to efficiently sample from the posterior dis- tribution in an infinite-dimensional state space with cost that is robust with respect to state space resolution and the variance of the observational noise. Plenary Lectures 5 Plenary Lecture 4 07.03.2017 11:30-12:30 Chair: Peter Benner (MPI Magdeburg) Weimar hall, Large hall Model-Reduction in Micromechanics of Materials Pierre Suquet (LMA, CNRS, Marseille) A common practice in structural problems involving heterogeneous materials with well separated scales, is to use homogenized, or effective, constitutive relations. In linear elasticity the structure of the homogenized constitutive relations is strictly preserved in the change of scales. The linear effective properties can be computed once for all by solving a finite number of unit-cell problems. Unfortunately there is no exact scale- decoupling in multiscale nonlinear problems which would allow one to solve only a few unit-cell problems and then use them subsequently at a larger scale. Computational ap- proaches developed to investigate the response of representative volume elements along specific loading paths, do not provide constitutive relations. Most of the huge
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