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.
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.
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.
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:
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.
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:
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.
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:
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.
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.
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.
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.
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.