Minisymposia

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MS 1: Numerical Methods in Contact Mechanics

Franz Chouly, University of Burgundy, Dijon, France
Vanessa Lleras, Université de Montpellier, France

The aim of this minisymposium is to present new trends in discretization methods and numerical algorithms for contact and friction problems in elasticity. New advances have been made recently, based either on new techniques for discretization, such as isogeometric analysis, polytopal methods, discontinuous Petrov Galerkin, stabilized finite elements or boundary elements, etc, or on revisiting some formulations of contact and friction conditions, through for instance, Nitsche or augmented lagrangian techniques. It welcomes contributions about the mathematical analysis of some discretization strategies, and also about applications in current engineering practice, such as multiphysics problems (fluid-structure-contact), large strain, contact dynamics and impact, etc.

MS 2: Mathematical Models with Nonlinear Boundary Conditions

Jaroslav Haslinger, Radek Kučera, VSB – Technical University of Ostrava, Czech Republic
Jitka Machalová, Horymír Netuka, Palacký University Olomouc, Czech Republic

This minisymposium is focused on mathematical models of solid and fluid mechanics involving nonlinear boundary conditions such as fluid flow models with different types of threshold slip boundary conditions, fluid-structure interactions, bending or buckling of nonlinear beams, etc. Also contributions dealing with stability analysis and optimal control of systems governed by such problems are welcomed. Particular attention will be paid to development of numerical methods for solving the respective discretized models.

MS 3: Unilateral Contact Problems

Meir Shillor, Oakland University, Rochester MI, USA
Laetitia Paoli, University Jean Monnet, Saint-Etienne, France

This mini-symposium covers various mathematical, modeling and numerical aspects of unilateral contact and friction problems for deformable bodies (elastic, visco-elastic, elasto-plastic, thermo-elastic ....), discrete mechanical systems, and fluid flows.

The aim is to provide a forum for the exchange of recent results on existence, regularity and continuity with respect to data of the solutions as well as numerical methods and control problems. Moreover, applications in the sciences and engineering are welcome, too.

MS 4: Sweeping processes and their applications

Samir Adly, University of Limoges, France
Florent Nacry, University of Perpignan Via Domitia, France

The main objective of this minisymposium is to provide a forum for reporting and exchanging new ideas in the area of Moreau's sweeping process and its extensions. Evolution problems described through a normal cone or a subdifferential operator will be at the heart of this minisymposium with the following topics:

  • i) Well-posedness results and properties of trajectories,
  • ii) Numerical analysis,
  • iii) Optimization/Control problems,
  • iv) Modeling and applications to mechanics.

MS 5: Analysis and Approximation of Variational and Hemivariational Inequalities

Weimin Han, University of Iowa, USA
Stanislaw Migórski, Jagiellonian University in Krakow, Poland
Mircea Sofonea, Université de Perpignan Via Domitia, France

This minisymposium is devoted to recent advances in mathematical analysis, numerical solution and applications of variational and hemivariational inequalities. The topics of the minisymposium include, but are not limited to, modeling of problems leading to variational and hemivariational inequalities, well - posedness results, properties of solutions, numerical analysis, optimal control and optimization, and applications in mechanics and engineering. The minisymposium aims at promoting collaborations among researchers of all stages on variational and hemivariational inequalities and their applications.

MS 6: Free Boundary Problems and Optimal Control of PDE

Domingo A. Tarzia Univ. Austral & CONICET, Rosario, Argentina

Problems in which the solution of a differential equation has to satisfy certain conditions on the boundary of a prescribed domain are referred to as boundary-value problems. In many important cases, the boundary of the domain is not known in advance but has to be determined as part of the solution. The term “free boundary problem” is used when the boundary is stationary (state state or elliptic problems) or moving with time (time-dependent or parabolic problems) and in this case the position of the boundary has to be determined as a function of time and space. In all cases, two conditions are needed on the free boundary, one to determine the boundary itself and the other to complete the definition of the solution of the differential equation. Moreover, suitable conditions on the fixed boundaries and, where appropriate, an initial condition are also prescribed as usual.

An optimal control problem requires the following data:

  • i) a control belonging to a set of admissible controls,
  • ii) the state of the system, for a given control, governed by a PDE, by an operator equation, by partial differential inequalities, or by variational inequalities,
  • iii) the cost function depending of the control variable which must be minimized.

The goal of this minisymposia is the study free boundary problems for PDE, optimal control problems of systems governed by PDE, and optimal control problems of systems governed by free boundary problems, from the modelling, theoretical, numerical, and application point of view.

MS 7: Dynamics of Structures

Czesław Bajer, Polish Academy of Sciences, Warsaw, Poland

This mini-symposium aims to present recent advances in analysis of structural vibration, wave problems in deformable media, vibration attenuation and control and all joined engineering problems:

  • i) dynamical phenomena in health monitoring techniques,
  • ii) energy harvesting,
  • iii) transport problems at high-speed motion,
  • iv) dynamical buckling of structures with jumps,
  • v) non-classical materials applied to structures.

The domain of our interest is placed in macro, micro and nano scale, including MEMS.

Modern design with knowledge of structure properties in a wide range of parameters for which systems have not been designed so far allows us to reduce the energy consumption, extend durability and increase strength.

The mini-symposium will encourage penetration of various solutions on the plane of dynamics.

MS 8: Recent advances in plasticity

Daya Reddy, University of Cape Town, South Africa
Stanislav Sysala, Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic

This minisymposium is devoted to topics in plasticity in mechanics and engineering, with the focus on recent developments and advances. The scope includes models such as classical elasto-plasticity, more recent models of size-dependence such as gradient plasticity, and single crystal plasticity, among others. Of interest also are mathematical and computational aspects of limit and shakedown analyses, coupled processes, uncertainty, viscoplasticity, and homogenization. Some of these topics might be considered in the more general framework of rate-independent processes. The focus of the minisymposium is on mathematical modelling, variational formulations, mathematical and numerical analyses, numerical methods, and applications.

MS 9: Numerical Analysis and Computational Aspects of Boundary and Finite Element Methods

Günther Of, Graz University of Technology, Austria
Jan Zapletal, VSB – Technical University of Ostrava, Czech Republic

The aim of the minisymposium is to bring together researchers in the area of numerical analysis and implementation of boundary and finite element methods applied to the solution of partial differential equations arising in various fields of engineering. The topics covered by the session include (albeit are not limited to) the numerical solution of boundary element systems and their finite element counterparts, numerical analysis of such systems and their solution, and, qually importantly, their efficient implementation on modern hardware architectures. One of the goals of the minisymposium is to present and discuss new results in the field of space-time variants of the above mentioned discretization techniques.

MS 10: Numerical methods for High - Performance Computations

Peter Arbenz, ETH Zurich, Switzerland
Tomas Kozubek, IT4Innovations, VSB-TUO, Czech Republic
Jakub Sistek, Institute of Mathematics of the Czech Academy of Sciences, Czech Republic

The computational speed of supercomputers keeps growing at an exponential rate mainly because of incorporating specialized hardware such as GPU accelerators. Therefore many numerical algorithms must be redesigned to exploit efficiently resulting heterogeneous architecture. Particularly, we need to increase parallelism and reduce global synchronizations and communication.

The goal of the minisymposium is to bring together researchers working on various aspects of numerical algorithms suitable for such heterogeneous supercomputers. Presentations from a wide range of topics, including but not limited to, exploiting parallel programming models, developing high-performance numerical methods, improving scalability, and adaptation and redesign of numerical methods to new architectures.

MS 11: Between Theoretical and Applied Mathematics

Agnieszka Kalamajska, University of Warsaw, Poland
Anna Ochal, Jagiellonian University in Krakow, Poland

The purpose of this minisymposium is to present and discuss theoretical tools which can be used in applied mathematics, like for example mathematical models in engeneering, physics or mathematical biology. We expect contributions from the fields of partial differential equations, functional analysis, probability, calculus of variations and classical analysis. We plan to meet in the interdiciplinary greminum of experts.